Given (x – 7)2 = 36, select the values of x :x = 13 x = 1 x = –29 x = 42

Answers

Answer 1

The solution to the equation given as (x - 7)² = 36 are x = 1 and x = 13

How to determine the values of x?

From the question, the equation is given as

(x - 7)² = 36

To start with, we take the square roots of both sides

This gives

x - 7 = ±6

Add 7 to both sides of the equation

So, we have

x = 7 ± 6

Evaluate the like terms

x = 1 and x = 13

Hence, the values of x are x = 1 and x = 13

Read more about equations at

https://brainly.com/question/2476251

#SPJ1


Related Questions

(100 POINTS AND BRAINLYEST JUST PLEASE ANSWER)

1.) An algae bloom is threatening to cover Grand Lake St. Mary’s near Celina, Ohio. The EPA needs to calculate the surface area of the lake to treat the algae bloom. Estimate the area of the irregular shape.




A) Draw on the map to show what method was used to find the area of the lake. (2 points)



B) Show work to estimate the area of the lake in square units. Attach additional paper if necessary. (2 points)









C) Each unit on the grid is 0.25 miles. Find the actual estimate of the area of the lake. (2 points)

Answers

The area of the irregular shape is 288 sq. units

Given,

An algae bloom is threatening to cover Grand Lake St. Mary’s near Celina, Ohio.The EPA needs to calculate the surface area of the lake to treat the algae bloom

We have to estimate the area of the irregular shape;

Here,

The shape can be broken down into a trapezoid, a rectangle, and a triangle

The area of the trapezoid = 1/2 × 12 × 9 × (7 + 10) = 76.5 sq. unitsThe area of the rectangle = 7 × 20 = 140 sq. unitsThe area of the triangle = 1/2 × 11 × 13 = 71.5 sq. units

The total area = 76.5 + 140 + 71.5 = 288 sq. units

Therefore,

The area of the irregular shape is 288 sq. units

Learn more about area here;

https://brainly.com/question/25338734

#SPJ1

2x < 15
answer and how to solve please

Answers

Answer:

×= -7½

Step-by-step explanation:

2x<15

2x<15=0

2x= -15

x= -15/2

x= -7½

Which point below is a solution to the equation y = 2x − 5?

(1, -3)

(4, 2)

(-1, -5)

(2, 0)

Answers

(4,2) is the correct one

Sorry I don't have the answer but I can rule out 2.

Step-by-step explanation:

4,2 and 2,0 are not going to be correct because I got them wrong on a quiz I had 2 attempts to take.

So its either 1,-3 or -1,-5.

Hope this helps you.

Consider the function f, where f(x) = 2x2 - x+ 3. Part A Complete the equation to represent f(x + 1). X+Y Select and drag numbers into the empty boxes to correctly complete the equation.

Answers

The numeric value of the function f(x) = 2x² - x + 3 at x = x + 1 is given as follows:

f(x + 1) = 2x² + 3x + 4.

How to obtain the numeric value of a function or of an expression?

To obtain the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

In this problem, the function is defined as follows:

f(x) = 2x² - x + 3.

The point at which the numeric value is calculated as given by:

x = x + 1.

Hence the numeric value is obtaining replacing the two instances of x in the function by x + 1, as follows:

f(x + 1) = 2(x + 1)² - (x + 1) + 3

f(x + 1) = 2(x² + 2x + 1) - x - 1 + 3

f(x + 1) = 2x² + 4x + 2 - x - 1 + 3

f(x + 1) = 2x² + 3x + 4.

Learn more about how to obtain the the numeric values of a function at brainly.com/question/28367050

#SPJ1

Which graph represents the function f(x) = 4/x

Answers

Answer:

Step-by-step explanation:

The height (in feet) of a falling object with an initial velocity of 48 feet per
second launched straight upward from the ground is given by
h(t) =
16t2 + 48t where
is time (in seconds). What iS the average rate of
change of the height as a function of time from
= 1 to
2

Answers

The average rate of change of the height as a function of time from 1 to 2 is 96

Rate of change

Rate of change defines the ratio that compares the change in values of the y variables to the change in values of the x variables.

Given,

The height (in feet) of a falling object with an initial velocity of 48 feet per second launched straight upward from the ground is given by h(t) = 16t² + 48t where is time (in seconds).

Here we need to find the average rate of change of the height as a function of time from 1 to 2.

In order to find the average rate of change we need to find the value for the time 1 and time 2.

For, that we have to apply the value on the function,

First, we have to apply the value of t as 1, then we get the value of the function as,

h(1) = 16(1)² + 48(1)

h(1) = 16 + 48

h(1) = 64

Now, we have to apply the value of t as 2, then we get,

h(2) = 16(2)² + 48(2)

h(2) = (16 x 4) + 96

h(2) = 64 + 96

h(2) = 160

Therefore, the average rate of change is,

=> rate of change = (160 -64) / 2 - 1

=> rate of change = 96

Therefore, the average rate of change from 1 to 2 is 96.

To know more about Rate of change here.

https://brainly.com/question/11606037

#SPJ1

1. Fourteen cars were randomly chosen at a used car lot. The age of each car and its sale price are shown in
the following table.

Answers

Answer: $10,252.87

Step-by-step explanation:

Based on the linear model of data, the price of the car that is 10 year old is approximately 10,000.

Linear model.

Basically, the linear model describes the relationship between a dependent variable, y, and one or more independent variables, X. Where the dependent variable is also called the response variable. And the independent variables are also called explanatory or predictor variables.

Given,

Here we have the table of data that contains the fourteen cars were randomly chosen at a used car lot and the age of each car and its sale price.

Now, we have to find the sale price for the 10 year old car.

In order to find the price of the 10 year old car, we have to plot these given table on the graph.

Then we get the graph like the following.

By looking at the graph, the sales price of the 10 year old car is predicted as approximately 10,000,

To know more about Linear model here.

https://brainly.com/question/29409495

#SPJ1


2. [5 pts] On a certain route, an airline carries 6,000 passengers per month, each paying $200. A market
survey indicates that for each $1 increase in the ticket price, the airline will lose 100 passengers.
Express the number of passengers per month, N, as a function of the ticket price, x. (Assume x ≥ 200.)

Answers

For the given passengers per month 6,000 paying $200 each with $1 increase in the ticket price with 100 lose passengers , then the number of passengers per month N as a function of the ticket price x :

N(x) = 26,000 - 100x where  x ≥ 200.

As given in the function,

Number of passengers carried by airlines per month = 6,000

Price of ticket of each passenger = $200

For each $1 increase in the ticket price lose of 100 passengers

Let N(x) be the function representing the number of passengers

And x represents the price of the ticket where  x ≥ 200.

Required function to represent the number of passengers is given by :

N(x) = 6,000 -100 ( x -200)

⇒ N(x) = 6,000 -100x + 20,000

⇒ N(x) = 26,000 -100x where  x ≥ 200

Therefore, for the given passengers per month 6,000 paying $200 each with $1 increase in the ticket price with 100 lose passengers , then the number of passengers per month N as a function of the ticket price x :

N(x) = 26,000 - 100x where  x ≥ 200.

Learn more about function here

brainly.com/question/5975436

#SPJ9

Naomi is going to invest $78,000 and leave it in an account for 7 years. Assuming the
interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Naomi to end up with $91,000?

Answers

In order to get the total amount $91,000 at the end of the 7 year, the interest rate is 2.2% on compound interest basis.

Compound Interest:

The general form to calculate the compound interest is written as,

A = P(1 + r/n)ⁿˣ

where

A = Accrued amount (principal + interest)

P = Principal amount

r = Annual nominal interest rate as a decimal

n = number of compounding periods per unit of time

x = time in decimal years

Given,

Naomi is going to invest $78,000 and leave it in an account for 7 years. Assuming the interest is compounded daily.

Here we need to find the  nearest hundredth of a percent, would be required in order for Naomi to end up with $91,000.

Here we have to solve for rate r as a decimal

[tex]r = n[(A/P)^{1/nt} - 1][/tex]

r = 365 × [(91,000.00/78,000.00)1/(365)(7) - 1]

r = 0.022022202

Then convert r to R as a percentage

R = r * 100

R = 0.022022202 * 100

R = 2.202%/year

Therefore, the interest rate required to get a total amount of $91,000.00 from compound interest on a principal of $78,000.00 compounded 365 times per year over 7 years is 2.202% per year.

To know more about Compound interest here.

https://brainly.com/question/14295570

#SPJ1

You invest $6000 in a restaurant. The investment has a return of 12%. How
much do you receive for your investment after 30 months?

Answers

The return received after 30 months on an investment of $6000 will be $1800.

According to the question,

We have the following information:

You invest $6000 in a restaurant. The investment has a return of 12% per year.

We know that the following formula is used to find the simple interest on the amount:

Simple interest = principal*rate*time/100

Now, we have the following values in this case which we will put in the formula:

Principal = $6000

Rate = 12%

Time = 2.5 years

Simple interest = (6000*12*2.5)/100

Simple interest = $1800

Hence, the amount received after 30 months on an investment of $6000 will be $1800.

To know more about return received here

https://brainly.com/question/3514427

#SPJ1

PLEASE ANSWER!!!! WILL GIVE BRAIN THINGY

Answers

Answer:

No solutions

Step-by-step explanation:

-5y+7/2y=-5-3/2y-4

+3/2y.           +3/2y

-5y+3/2y+7/2y=-5-4

-5y+10/2y=-9

-5y+5y=-9

0=-9

No solutions

Hopes this helps please mark brainliest

Question
A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When
she plants 3 stalks, each plant yields 115 ounces of beans. When she plants 8 stalks, each plant yields 190 ounces of beans.
Write the linear equation, Y(n), that correctly represents this situation.
Provide your answer below:
Y(n)=
Content attribution
evious
FEEDBACK
MORE INSTRUCTION
SUBMIT

Answers

The equation that represent the given situation is y = 15x + 70

When she plants 3 stalks, each plant yields 115 ounces of beans

The first point = (3, 115)

When she plants 8 stalks, each plant yields 190 ounces of beans

The second point = (8, 190)

The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

The slope of the line m = (190-115) / (8-3)

= 75/5

= 15

The point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

Choose one point and substitute the values in the equation

y - 115 = 15(x - 3)

y - 115 = 15x - 45

y = 15x - 45 + 115

y = 15x + 70

Hence, the equation that represent the given situation is y = 15x + 70

Learn more about slope of the line here

brainly.com/question/16180119

#SPJ1

What expression represents the verbal phrase?

one-half times a number m plus twenty-five

Answers

The expression that represents the verbal phrase, one-half times a number m plus twenty-five, is m/2+25.

According to the question,

We have the following information,

The given verbal phrase is one-half times a number m plus twenty-five.

Now, we will solve it step by step.

Now, we will first find one-half times a number m. We know that we will replace the word times with multiplication. So, we have the following expression:

m/2

Now, adding 25 to this term, we have the following final expression:

m/2+25

Hence, the expression that represents the verbal phrase, one-half times a number m plus twenty-five, is m/2+25.

To know more about expression here

https://brainly.com/question/545123

#SPJ1

Lim x->1 sinx - sin1/x-1

Answers

The limit Lim x→1 (sinx - sin1)/(x - 1) = cos1

What is the limit of a function?

The limit of a function f(x) as x tends to a is the value of the function f(x) as x tends to a. It is written as [tex]\lim_{x \to a} f(x) = L[/tex]

How to find the given limit of the function?

GIven that we require the limit given as  [tex]\lim_{x \to 1} \frac{sinx - sin1}{x - 1}[/tex]

So, substituting the value of x = 1 into the given equation, we have that

[tex]\lim_{x \to 1} \frac{sinx - sin1}{x - 1} = \frac{sin1 - sin1}{1 - 1} \\= \frac{0}{0}[/tex]

Since 0/0 is one of the inderterminate forms, we use the L'hopital's rule to find the limit of the given function.

What is L'hopital's rule?

L'hopital's rule states that if [tex]\lim_{x \to a} f(x) = \lim_{x \to a} g(x) = 0[/tex] and f'(x) and g'(x) exist then [tex]\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}[/tex]

Let the variables be

f(x) = sinx - sin1 and g(x) = x - 1

So, since we know that

[tex]\lim_{x \to 1} \frac{sinx - sin1}{x - 1} = \frac{0}{0}[/tex],

So,  [tex]\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}[/tex]

So, we differentiate both the numerator and denominator and find the limit.

So,

[tex]\lim_{x \to 1} \frac{f'(x)}{g'(x)} = \lim_{x \to 1} \frac{\frac{d(sinx - sin1)}{dx} }{\frac{d(x - 1)}{dx} } \\= \lim_{x \to 1} \frac{cosx - 0}{1 - 0} \\= \lim_{x \to 1}cosx \\= cos1[/tex]

So, [tex]\lim_{x \to 1} \frac{sinx - sin1}{x - 1} = cos1[/tex]

Learn more about limits here:

https://brainly.com/question/28185314

#SPJ1

In math class 20% of the students did not finish their quiz. If 24 students finished their quiz, how many students are in math class?

Answers

30 as 24=80% so 10%= 3, 3x2=6/20% 24+6=30

Answer: 30 kids are in the math class

Step-by-step explanation: A simple way to solve this question is by knowing divisors. Since 24 is only 80% of X, then look for common divisors betweet 24 and 80% (4) If 6 is 20%, then 30 is 100%

3) Karen, her brother Dan, Dana, and her sister Randi own a pizza restaurant, Karen and Dan each own 2/7 of the
restaurant. The remaining share is owned equally by Dana and Randi. Exactly what fraction of the business
does Dana own?

Answers

Dana owns      [tex]\frac{3}{14}[/tex] fraction of the business

How to calculate the fractions?

*Identify a fraction: When writing fractions, one number is placed above the dividing line and one number is written underneath it.

*Find the numerator: The numerator—the number at the top—indicates the number of elements that make up the fraction.

*find the denominator: The denominator is the figure at the bottom. This number reveals how many components there are in the total number.

Let us take the fraction shared by Dana and Randi as x

So the equation becomes

[tex]\frac{2}{7} +\frac{2}{7} +x+x=1[/tex]

⇒ [tex]\frac{4}{7}+2x=1[/tex]

⇒2x=1-[tex]\frac{4}{7}[/tex]

⇒[tex]2x=\frac{7-4}{7}[/tex]

⇒[tex]2x=\frac{3}{7}[/tex]

⇒[tex]x=\frac{3}{7*2}[/tex]

⇒[tex]x=\frac{3}{14}[/tex]

To learn more about the calculate the fractions from the given link  

https://brainly.com/question/78672

#SPJ1

On December 13,2007 one U.S. dollar was worth 0.69 euro
On that date, how many dollars was 110.66 euro worth?
Round your answer to the nearest hundredth of a dollar.
-----need a response back ASAP!----------
On that date, how many euro was 77.65 dollars worth?
Round your answer to the nearest hundredth of a euro.

Answers

On that date, 110.66 euro was worth 160.38 dollars.

On that date, 77.65 dollars was worth 53.58 euro.

How to calculate the value?

Given that one U.S. dollar was worth 0.69 euro, the dollar that was 110.66 euro worth will be:

= Amount of euro / Rate

= 110.66 / 0.69

= 160.38 dollars

The euro that 77.65 dollars was worth will be:

= 77.65 × 0.69

= 53.58 euro

Learn more about money on:

brainly.com/question/24373500

#SPJ1

calculate the area of this trapezium

Answers

1/2 x (6+8) x 4 = 28cm^2

Answer:

Step-by-step explanation:

Let the trapezium be B.

Draw a line from the top of the trapezium to it's base and call the triangle formed B.

The base of is 2cm (8cm - 6cm

The area of the triangle = 40cm² ( 5cm x 4cm x 2cm)

Area of the trapezium =. ½ (base x height)

. = 18cm²

Add area of trapezium and triangle.

 = 40cm² + 18cm² = 58cm²

.

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.

slope: −3, ordered pair: (−5,3)

Answers

Answer:

[tex] \huge{ \boxed{y = - 3x - 12}}[/tex]

Step-by-step explanation:

Equation of a line in slope-intercept form is given by

[tex]y = mx + c[/tex]

where

m is the slope

c is the y intercept

From the question

m = -3

In order to find c we substitute the point (−5,3) into the equation y = mx + c

We have

[tex]3 = - 3( - 5) + c \\ 3 = 15 + c \\ c =3 - 15 \\ c = - 12 [/tex]

We now substitute c and m into the main equation

We have the final answer as

[tex]y = - 3x - 12[/tex]

Hope this helps you

A submarine descends -3.5 meters per minute. How far will the submarine descend in 8 minutes?

How do you know your answer will be negative?

Answers

Answer:

-28 meters

Step-by-step explanation:

The speed of the submarine = (-3.5) per minute

Since it's descending, we know the answer will be negative.

The distance covered by the submarine is 8 minutes = (-3.5) x 8 = -28 meters.

Answer:

28

Step-by-step explanation:

-3.5*8

Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?

Answers

The coordinates of pre-image point H is (c) (3, 2)

How to determine the coordinates of pre-image point H?

The graph represents the given parameter

On the graph, we have the coordinate of point H' (i.e. the image) to be

H' = (-3, -2)

The transformation rule is given as

Rotation 180° about the origin

Mathematically, this is represented as

(x, y) = (-x, -y)

This implies that:

H = (3, 2)

So, the coordinates are (3, 2)

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

What is the equation for the parabola graphed below

Answers

Answer:

[tex]y = x^2 - 2x -1[/tex]

Step-by-step explanation:

General Form of a parabola :

[tex]y = a (x - h)^2 + k[/tex]

Solving :

h and k refer to the point of the vertex. In this case, it's (1, -2), so :

[tex]y = a(x - 1)^2 - 2[/tex]

Plug in values for x and y. In this case, they're (0, -1), so :

[tex]-1 = a(0 - 1)^2 - 2\\-1 =a(1) - 2\\1 = a[/tex]

Plug in all values :

[tex]y = ( x - 1)^2 -2[/tex]

Further simplifying :

[tex]y = ( x - 1 )^2 - 2 \\y = (x^2-2x + 1) - 2\\y = x^2 - 2x -1[/tex]

find the area between the curve y=x^2-3x for x between 1 and 8

Answers

The area between the curve y = x^2 - 3x for x between 1 and 8 is 1343 / 3 square units.

First, let us understand the area under the curve:

A definite integral between two points is used to calculate the area under a curve between them. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a and x = b. This area can be estimated by integrating with specified limitations.

We are given:

y = x^2 - 3x

We need to find the area between the curve y = x^2 - 3x for x between 1 and 8.

Now,

Integrate the given function:

Integration y = Integration  x^2 - Integration 3x

y = [x^(2 + 1) / (2 + 1)] ^ 8 _1 - [3x^(1 + 1) / (1 + 1)] ^ 8 _1

y = [x^3 / 3] ^ 8 _1 - [3x^2 / 2] ^ 8 _1

y = [8^3 / 3 - 1^3 / 3] - [3 * 8^2 / 2 - 1 * 8^2 / 2]

y = [512 / 3 - 1 / 3] - [96 - 32]

y = 1535 / 3 - 64

y = 1535 - 192 / 3

y =  1343 / 3 square units.

So, the area is 1343 / 3 square units.

Thus, the area between the curve y = x^2 - 3x for x between 1 and 8 is 1343 / 3 square units.

To learn more about area under the curve visit:

https://brainly.com/question/20459345

#SPJ1

NO LINKS!! Please help me with the Angle Proofs Part 3​

Answers

Answers in bold

GivenDefinition of complementaryGivenDefinition of congruenceVertical anglesDefinition of congruenceSubstitution propertyDefinition of complementary

==============================================

Explanation:

Always start with what is given. The last statement is the thing we want to prove.

Complementary angles add to 90 degrees. They form a right angle.

When "definition of congruence" is mentioned, we go from two angles being congruent to having them be of the same measure. It's a slight change of notation.

Vertical angles form whenever we cross two lines to form an X shape. The vertical angles are opposite one another, and always congruent.

The substitution property is the idea of replacing one thing with something it is equivalent to. In other words, we plug in the item.

Notice on line 2, if we replace "angle 1" with "angle 4" (valid because the two angles are congruent), and then replace "angle 2" with "angle 3", then we get the result on line 7.

Answer:

1. Given.

2. Definition of complementary angles.

3. Given.

4. Definition of congruent angles.

5. Vertical Angles Theorem.

6. Definition of congruent angles.

7. Substitution Property of Equality.

8. Definition of complementary angles.

Step-by-step explanation:

Statement 1

∠1 and ∠2 are complementary.

Reason:  Given.

Statement 2

m∠1 + m∠2 = 90°

Reason:  Definition of complementary angles.

Complementary angles are two angles that sum to 90°.  Therefore, if ∠1 and ∠2 are complementary, then their measures must sum to 90°.

Statement 3

∠1 ≅ ∠4

Reason:  Given.

Statement 4

m∠1 = m∠4

Reason:  Definition of congruent angles.

Congruent angles are angles with exactly the same measure.  As angle 1 is congruent to angle 4, then their measures are equal.

Statement 5

∠2 ≅ ∠3

Reason:  Vertical Angles Theorem.

Vertical angles are always congruent.  

Statement 6

m∠2 = m∠3

Reason:  Definition of congruent angles.

Congruent angles are angles with exactly the same measure.  As angle 2 is congruent to angle 3, then their measures are equal.

Statement 7

m∠4 + m∠3 = 90°

Reason:  Substitution Property of Equality.

For all numbers a and b, if a=b, then a may be replaced by b in any equation or expression.

As m∠2 = m∠3 and m∠1 = m∠4, replacing them in m∠1 + m∠2 = 90° gives m∠4 + m∠3 = 90°.

Statement 1

∠3 and ∠4 are complementary.

Reason:  Definition of complementary angles.

Complementary angles are two angles whose sum is 90°.  Therefore, if the sum of m∠4 and m∠3 is 90°, this means that ∠4 and ∠3 must be complementary.

How many seven-digit numbers can be formed with the digits of 2201213?

Answers

There are 420 arrangements for seven-digit numbers that can be formed with the digits of 2201213 by permutation.

What is permutation?

The term permutation is simply the process of arrangement or selection of objects. It involves each of several possible ways in which a set or number of things can be ordered or arranged.

We can apply the formula for permutation;

[tex]p(n,r) = \frac{n!}{(n - r)!}[/tex]

where n = total number of object and r = number of objects selected.

Total number of digits = 7

number of the digit 2 = 3

number of the digit 1 = 2

number of the digit 0 = 1

number of the digit 3 = 1

so the permutation for the digits 2201213 is calculated as;

7!/(3! × 2! × 1! × 1!)

(7 × 6 × 5 × 4 × 3!)/(2 × 3!) {cancel out 3! with 3! and 4 with 2}

7 × 6 × 5 × 2

420 arrangements

Hence, by permutation, we can say that there are 420 arrangement for which seven-digit numbers can be formed with the digits of 2201213

Learn more about permutation here:https://brainly.com/question/1216161

#SPJ1

Emma recorded the weight of her kitten in ounces on certain days for 24 days. The data are shown in the scatterplot.​

Answers

Answer:

can you show me it so i can help

Step-by-step explanation:

write the mixed number 4 2/5 as an improper fraction​

Answers

should be 22/5 ! :-]

Answer:

[tex]\frac{22}{5}[/tex]

Step-by-step explanation:

To write a mixed number as an improper fraction, you start by converting the "number part" into a fraction.

For example, in this problem 4 is the number part, and we want to rewrite 4 as fraction with a denominator of 5. To do this, we multiply four by 5, which is twenty and put this over 5: [tex]\frac{20}{5}[/tex]. This would be a fraction representing 4(you can check through division).

Next, we need to add [tex]\frac{2}{5}[/tex] to this. [tex]\frac{2}{5} +\frac{20}{5}[/tex] would just be [tex]\frac{22}{5}[/tex] because 20 + 2 = 22.

The following inequalities form a system.

y is greater than or equal to two-thirds times x plus 2
y is less than negative one-third times x plus 1

Which ordered pair is included in the solution to this system?

(−6, −3)
(−6, −2)
(−6, 3)
(−6, 4)

Answers

From the graph, the ordered pair that is included in the solution to the given system is (-6, -2). The correct option is the second option (−6, −2)

Solving system of linear inequalities using graph

From the question, we are to determine the ordered pair that is included in the solution to the given system of inequalities

The given system of inequalities is

y ≥ 2/3(x) + 2

y < -1/3(x) + 1

To determine the ordered pair that is included in the solution, we will graph the given system of linear inequalities.

The graph of the system of linear inequalities is given below.

From the graph, we can observe that (-6, -2) is a solution to the given system of linear inequalities.

Hence, the ordered pair that is a solution is (-6, -2)

Learn more on Solving system of linear inequalities here: https://brainly.com/question/27981923

#SPJ1

Answer:

Option B: (-6, -2)

Step-by-step explanation:

i took the test xx

Hunter is going to see a movie and is taking his 4 kids. Each movie ticket
costs $12 and there are an assortment of snacks available to purchase for $5
each. How much total money would Hunter have to pay for his family if he
were to buy 4 snacks for everybody to share? How much would Hunter have
to pay if he bought a snacks for everybody to share?

Answers

Answer:

$80

Step-by-step explanation:

hunter+ kid 1+kid 2+kid 3+kid 4= 60 dollars just for tickets

4 snacks= 20 dollars for snacks

$60+$20=$80

PLEASE MARK BRAINIEST

Use the following model to answer the question.
Which division problem is shown by the model?
OA. 0.66÷3= 0.22
O B. 0.663 = 0.26
OC. 0.78÷3= 0.62
www
D. 0.78÷3= 0.26
D
G

Answers

Option D is correct answer, The given model in the picture shows the division problem as: 0.78 ÷ 3 = 0.26.

What is division?

Along with addition, multiplication, and subtraction, division is one of the four basic mathematical operations. The act of separating anything into smaller groups so that each one has the same amount of items is known as division. It is a mathematical operation that is used to distribute and group things equally.

we can count that, there are 26 cubic blocks in each square in the picture,

10 each are vertically in two rows and 6 are horizontally present.

And there are total of 3 such squares present each with 26 cubic blocks.

So these all totals to 78 cubic blocks which is divided in 3 squares and in each squares there are 26 cubic blocks.

Therefore, the division problem representing this can be written as:

0.78 ÷ 3 = 0.26

To know more about division, go to link

https://brainly.com/question/25289437

#SPJ1

Other Questions
13/19% of a quantity is equal to what of the quantity.Simplify Your Answer Find the sum using (+) and (-) chips: -5+1 GEOMETRY PROOFS!!!!! Xylem and Phloem in plants transport water and nutrients throughout the plant similar to ______ humans. O hormonesO blood vesselsO bones O neurons Question 3 of 5Question 1-3The Centipedeby Edith L. M. KingSubmit TestI've often watched you, centipede,And I can't think howeverYou manage those long rows of feet-You must be very clever Find g(x), where g(x) is the translation 10 units up of f(x) = 8x - 10.Write your answer in the form mx + b, where m and b are integers. What should be the minimum power of a generator supplying 220V to simultaneously supply the following appliances: 1 fridge 1500W, 3 halogen lamps 500W, 1 electric coffee maker 1600W? 1,8 KVA 3,3 KVA 5 KVA 7,5 KVA In HTML, write a short paragraph describing something from a book or movie (two or three sentences). Be sure to mention the book or movie title in the paragraph, and format appropriately. Subject-verb agreement 1. Correct the following sentences so that there is agreement between subjects and verbs. a) Use a sharp knife to cuts the stick. What two steps would take place after a compromise bill was created to determine if it becomes law? Kakashi is filling his new bookshelf. The shelf holds 40 books. If he fills the bookshelf 4/5 of the way, how many books will Kakashi need? Select the correct answer.Which list describes the aspects of health that should be in balance to achieve total wellness?A. nutritional, physical, and mentalB.physical, social, and emotionalC. intellectual, short-term, and long-termD. cultural, technological, and analyticalnts reserved. What type of inheritance results when the phenotype of a heterozygote is intermediate between both homozygotes?. 6) 80 grams of Cu (CH3COO)2 to molecules. A sample of water is found to contain molecules that are packed so loosely they will easily escape from a lidless container. The state of this sample is _____ . A sample of water is found to contain molecules that are packed so loosely they will easily escape from a lidless container. The state of this sample is _____ .solidBose-Einstein condensategasliquid A species of mouse that was once killed.by a certain disease is now resistant to the disease? Which state,e explains howthis most likely happened?Th mice had no genetic variation so they were able to eventually resist the disease togetherSome individual mice grew stronger so they could resist the disease and pass the resistance to their offspringThe mouse species wanted to change its genes so it could resist the diseaseSome individual mice that were resistant to the disease survived and reproduced offspring. Those that weren't resistant died. What is the answer to c? Which of the following best describes the conflict between Aunt Alexandra and Atticus over Calpurnia?A. Aunt Alexandra thinks Calpurnia should be in charge of cooking and cleaning only, not the children.B. Aunt Alexandra wants Calpurnia fired, but Atticus refuses.C. Aunt Alexandra thinks Calpurnia is a bad influence on the children.D. Aunt Alexandra wants Calpurnia to be her exclusive maid, while Atticus wants her to serve the house Find a so that the point (-1,5) is on the graph of f(x)=ax^2+2 What is the quotient of (-168) + (-14) + (-3)? Pls help meA: -36B: -4C: 4D: 36