Subtract 2w + 4 ​​from​ 3w - 6

Using inequality graphing, we get

1 = option A and E

2= none

3= option B and G

4= option C and I

How can graph inequalities?

1. Rewrite the equation with "y" on the left and the rest of the terms on the right.

2. Draw the "y=" line (with a solid line for y or y and a dotted line for y or Y>).

3. Use a shaded line to indicate larger than or less than (y> or y) or vice versa.

The graph corresponding to the options is as follows

graph 1 corresponds to equations A and E

Graph 3 corresponds to equations B and G

Graph 4 corresponds to equations C and I

The 4-letter word is CAGE

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3. x < 3

Explanation:

The inequality represents the greater than ">" or lesser than "<".

∵ The temperature is less than 3 the answer is x < 3.

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The following inequality represents temperatures below 3°F

c. x < 3

A relationship between two expressions or values that is not equal to each other is referred to as "inequality" in mathematics. So inequality results from an imbalance. For instance, let's say you want to spend $250 on a new bicycle but only have $225. The fact that you are comparing two non-equal numbers makes it an inequality as well.

When two quantities are equal, the symbol "=" is used, and when they are not equal, the symbol "" is used to denote that. When two values are not equal, the first value may be greater than (>), less than (<), greater than equal to (≥), less than equal to (≤). In light of the example given above, 250 > 225.

Solution:

The less than symbol represented as < is only available in x < 3, it is also available in  x < -3 but we have given that temperature ins 3°F and not -3°F.

Thus the correct answer is c. x < 3

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The system of linear equations that represents the given situation is

x = y + 10

x + y = 64

From the question, we are to write a system of linear equations that represents the given situation

From the given information,

"There are a total of 64 students in a drama club and a yearbook club"

Then, we can write that

x + y = 64

Also,

"The drama club has 10 more students than the yearbook club"

Then, we can write that

x = y + 10

Hence, the system of equations is

x = y + 10

x + y = 64

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Answer: The width that would maximize the area would be 475, and the square feet would be 475.

Step-by-step explanation: 950 divided by 2 is 475 which would divide each of the two sides of the fence, to acquire the amount needed.

The population of Greene country in 2015 was 51408 which is greater than the population of Orange country in 2015.

What is an exponential function?

The definition of an exponential function is given by the equation

y = aeᵇˣ, where a and b are constants.

The given function is f(x) = 87000(0.9)ˣ.

Given that x = 0 represents the year 2010.

Therefore, x= 5 represents the year 2015.

Substitute x = 5 into the given function:

f(5) = 87000(0.9)⁵

    ≈ 51373

Hence, the population of Orange country is about 51373 in 2015.

Now, the population of Greene country was 78000 in 2010 and has decreased exponentially at a rate of 8% each year.

The population of Greene city after 5 years is given by:

78000(1-8%)⁵

= 78000(1 - 0.08)⁵

= 78000(0.92)⁵

= 51408

Therefore, the population of Greene country in 2015 was 51408 which is greater than the population of Orange country in 2015.

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Answer:

9g

Step-by-step explanation:

The corresponding z-score for each student are as follows;

College student, z = 0.73.

University student; z = 0.67.

Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:

Z-score, z = (x - μ)/σ

Where:

For the College student, we have the following:

Sample score = $9935.

Standard deviation = $1867.

Mean score = $8581

Z-score, z = (9935 - 8581)/1867

Z-score, z = 1354/1867

Z-score, z = 0.73.

For the University student, we have the following:

Sample score = $11,757.

Standard deviation = $2133.

Mean score = $10,339

Z-score, z = (11,757 - 10,339)/2133

Z-score, z = 1,418/2133

Z-score, z = 0.67.

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Answer:

170 cartons ; 15 Grapefruits

Step-by-step explanation:

Given:-

Total grapefruits : 4325

Bob sold : 1250

Remaining is  : 3075      (4325-1250)

How many gift cartons can Bob’s fill with the remaining grapefruits

Grapefruit per carton: 18 (given)

= 3075/18

= 170 cartons

How many grapefruits will be left

= 3075 - 3060

= 15 Grapefruits

I hope my answer helps you.

Answer: 320 i hope it works..

The required fraction that makes the equation true is 3/15.

What is a fraction?

Fractions represent parts of a whole or group of objects. A fraction is made up of two parts. The number at the top of the line is referred to as the numerator. It specifies the number of equal parts of the whole or collection that are taken. The denominator is the number below the line. It displays the total number of equal parts into which the whole is divided or the total number of identical objects in a collection.

Let x be the required fraction.

Blank divided by 3/7 = 7/15

Then, [tex]\frac{x}{3/7} = \frac{7}{15}[/tex]

or, [tex]\frac{7x}{3} = \frac{7}{15}[/tex]

or, 7x = 21/15

or, x = 3/15

Hence the required fraction that makes the equation true is 3/15.

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Answer: Assign the numbers 1-9 to represent a made goal and the number 10 to represent a missed goal.

Step-by-step explanation: The coach wants to ESTIMATE the number of goals the player will make out of 10 attempts. Since someone can’t make 8.8 goals, we can round up to 9 goals.

Answer:

from the options given it seems that it can only be divided by 3 or –3 which will give you 147 or – 147

Step-by-step explanation:

i hope this helps

Answer:3/c

i am doing this for extra characters

The statement that is true about the proportional relationship:

C = 13.99*p

Is "For $13.99, you can buy 1 pound of shrimp"

Here we have the proportional relationship:

C = 13.99*p

Where c is the total cost and p is the number of pounds of shrimp bought at a grocery store.

This means that if you buy one pound  (p = 1) the total cost will be:

C = 13.99*1

C = 13.99

So each pound costs $13.99

Then the true statement about the proportional relationship is:

" For $13.99, you can buy 1 pound of shrimp."

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Answer:

"For $13.99, you can buy 1 pound of shrimp"

Step-by-step explanation:

The inequality which represents the number of people who can go to the amusement park will be 14.75 + 11.25x ≤ 80.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

As per the given,

Total budget = $80

Tickets cost of x number of tickets = 11.25x

Parking cost + tickets cost ≤ total budget

14.75 + 11.25x ≤ 80

Hence"The inequality which represents the number of people who can go to the amusement park will be 14.75 + 11.25x ≤ 80".

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(a) The probability of each possible number of sets that are acceptable without any adjustment can be found using the binomial distribution formula:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

Where:

P(x) is the probability of x successes in n trials

n is the number of trials (in this case, the number of sets produced in a week)

x is the number of successes (in this case, the number of sets that are acceptable without any adjustment)

p is the probability of success (in this case, the probability that a set is acceptable without any adjustment, which is 0.70)

Plugging in the values, we get:

P(0) = (3 choose 0) * 0.70^0 * (1-0.70)^(3-0) = 0.028

P(1) = (3 choose 1) * 0.70^1 * (1-0.70)^(3-1) = 0.081

P(2) = (3 choose 2) * 0.70^2 * (1-0.70)^(3-2) = 0.162

P(3) = (3 choose 3) * 0.70^3 * (1-0.70)^(3-3) = 0.126

(b) To find the expected number of sets that are tested and found to be acceptable without adjustment, we can use the formula:

E(x) = n * p

Plugging in the values, we get:

E(x) = 3 * 0.70 = 2.1

The expected number of sets that are tested and found to be acceptable without adjustment is 2.1.

(c) The cumulative probability distribution for the number of sets that are tested and found to be acceptable without adjustment is the sum of the probabilities of each possible number of successes. For example, the probability of 0 or 1 successes is the sum of the probabilities of 0 and 1 successes: P(0 or 1) = P(0) + P(1) = 0.028 + 0.081 = 0.109. The probability of 0, 1, or 2 successes is the sum of the probabilities of 0, 1, and 2 successes: P(0 or 1 or 2) = P(0) + P(1) + P(2) = 0.028 + 0.081 + 0.162 = 0.271.

The cumulative probability distribution for the number of sets that are tested and found to be acceptable without adjustment is:

P(0) = 0.028

P(0 or 1) = P(0) + P(1) = 0.028 + 0.081 = 0.109

P(0 or 1 or 2) = P(0) + P(1) + P(2) = 0.028 + 0.081 + 0.162 = 0.271

P(0 or 1 or 2 or 3) = P(0) + P(1) + P(2) + P(3) = 0.028 + 0.081 + 0.162 + 0.126 = 0.397

The corresponding graph would be a step function with a step at each possible value of x (in this case, 0, 1, 2, and 3) and the corresponding probability at each step.

Answer: The rates are not equivalent.

Step-by-step explanation: You have to find the unit rate. This means the number of laps per minute. To find this out you have to divide 12 by 4 which equals 3 and divide 18 by 8 which equals 2.25. Now we know the rates are not equivalent because your rate is 3 laps/minute and your friend's rate is 2.25 laps/minute.

Answer: The rates are not equivalent

Step-by-step explanation:

Firstly,You must identitify the ratio.
The ratio can be 12:4 and 18:8.

Now we must convert 4 minutes and minutes into seconds to make it easier for us to work with.
4 * 60 = 240

18 * 60 = 1080

Now the question is 12: 240 equavialent to 18: 1080.

Method A:

For 12:240 to get 1 lap :

we can divided 240/12 = 20.

1 lap takes 1/3 of a minute or 20seconds.

For 18:1080:

We divide 1080/18 = 60= 1 minute

12:240=20 seconds

18:1080= 60 seconds.

They are not equivalent.

Method B:Compare 12:240 to 18:1080 and divide by 2

if the ratio  split 50/50,they are equavalent.

Add the seconds together,becuase that is the total time

1080+240= 1320 second.

12+ 18=20

Now the ratio is 30:1320

1 lap takes 1320 / 30 = 44seconds

12 laps * 44 = 528s

18laps * 44 = 792s

528s is not 792s.

(A×B)∩(A×C)={(1,4),(2,4),(3,4)}  

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set. Check the set symbols here as well.

The various kinds of sets, symbols, and operations are described by the set theory.

Given,

A={1,2,3},B={3,4} and C={4,5,6}

A×B={(1,3),(1,4),(2,3),(2,4),(3,3),(3,4)}

A×C={(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)}

∴ (A×B)∩(A×C)={(1,4),(2,4),(3,4)}  

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You can afford the amount of $24588.44 expensive a car.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

The monthly payment = Total payback / No. of payment

$325 = Total payback / 108

Total payback = $325 x 108 = $351,00

Let the affordable amount of the car would be P

The total payback = P× r/100 × T + P

Here P, r = 4.75, and T = 9 years

$351,00 = P × (4.75/100 × 9 + 1)

$351,00 = P × ( 0.4275 + 1)

$351,00 = P × 1.4275

P = 351,00 / 1.4275

Apply the division operation, and we get

P = $24588.44

Therefore, you can afford the amount of $24588.44 expensive a car.

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Answer:

To earn $65 in interest in 16 months at a simple interest rate of 3%, you would need to invest $2,166.67. The formula for calculating simple interest is I = P * R * T, where I is the interest earned, P is the principal amount invested, R is the interest rate, and T is the time in years. In this case, we are given that the interest rate is 3%, the time is 16 months, and the interest earned is $65, so we can plug these values into the formula to solve for the principal amount invested:I = P * R * T

$65 = P * 0.03 * (16/12)

$65 = P * 0.03 * (4/3)

$65 = P * 0.01

P = $2,166.67Therefore, to earn $65 in interest in 16 months at a simple interest rate of 3%, you would need to invest $2,166.67.

Answer:

a²b²

Step-by-step explanation:

Variables cancel out when they are divided by itself because they represent the same thing.

a³ / a = a²

b^4/b² = b²

Thus, the final answer is a²b².

A rectangular prism with 10 inches in height and 2 inches in base length and height. The sides are labeled A and the base is labeled B. the total area of all the copies of Rectangle A is 80 square inches.

b) 8 square inches.

c) 88 square inches.

Generally, To find the area of the Face A rectangles, you need to multiply the length and the height of one rectangle.

In this case, the length is 10 inches and the height is 2 inches, so the area of one rectangle is 10*2=20 square inches.

There are four copies of Rectangle A in the prism, so the total area of all the copies of Rectangle A is

20*4=80 square inches.

b) To find the area of the Face B squares, you need to multiply the length and the height of one square. In this case, both the length and the height are 2 inches, so the area of one square is

2*2=4 square inches.

There are two copies of Square B in the prism, so the total area of all the copies of Square B is

4*2=8 square inches.

To find the total surface area of the prism, you need to add the areas of all the faces. In this case, the total surface area is

80+8=88 square inches.

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THE COMPLETE QUESTION WAS NOT FOUND

Answer:

(0,3)

Step-by-step explanation:

(0,3) is not on the graph

Since the first equation of system B is created by multiplying system A's second equation by four, both equations will have the same answer. option c is correct

Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign. . For an unknown quantity represented by an unknown variable, equations can be solved to determine its value. A statement is not an equation if it contains no references to "equal to" symbols.

Here,

you have a two-equation system.

System A: 6x + y = 2, and -x - y = 3.

System B: -10 = 2x - 3y, -3 = x - y

Choose the statement about each of the two systems of equations that is true from the list provided.

System A is an example.

6x + y = 2 ......(1) (1)

-x -y = -3 ....(2) (2)

Equation (2) becomes when we double it by 4.

-4x -4y = -12 ......(3) (3)

We now have, after adding (1) and (3),

6x + y +(-4x - 4y) = 2 - 12

solving, we arrive at,

6x + y -4x - 4y = 2 - 12

Equation (1) of system B is 2x – 3y = – 10.

The answer to system A is now discovered.

Equation (2) is created by adding equation (1).

6x + y - x -y = 2 -3

5x = -1

Value of x in (2) yields,

The answer to system B is now discovered.

System B: 2x - 3y = -10... (4)

-x -y = -3 .....(5) (5)

By dividing equation (5) by 3, we get y=16/5

-3x -3y = -9 .......(6) (6)

Equation (6) is obtained by deducting equation (4).

2x - 3y-(-3x - 3y) = -10 +9

5x = -1

Using (5) as the value of x, we obtain x=-1/5

Therefore, the values of systems A and B are equal.

Thus, choice (C) is the right one.

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Answer:

They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A

Scatter plots exists essential because they can demonstrate the degree of correlation, if any, between the values of observed quantities or occurrences.

Several dots are placed on a horizontal and vertical axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the degree of correlation, if any, between the values of observed quantities or occurrences (called variables).

Using data visualization, a scatter plot may be used to show how several variables relate to one another. Put different data points between an x- and y-axis to display this data. The name of this form of data visualization comes from the way that each of these data points appears to be "scattered" over the graph.

The graphs known as scatter plots show the relationship between two variables in a data set. On a two-dimensional plane or in a Cartesian system, it represents data points. The dependent variable is represented on the Y-axis, and the independent variable or attribute is plotted on the X-axis.

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The number of possible combinations is 330.

What is combination?

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

The toppings for a pizza is pepperoni, pineapple, sausage, onions, frogs. peppers, ham, fish, olives, mushrooms, tomatoes.

The number of toppings is 11.

you choose exactly 4 toppings for a pizza.

Here r = 4

n = 11

The formula of combination rCn.

The number of possible combinations of a pizza is

₁₁C₄ = 11!/[4! (11-4)!]

₁₁C₄ = 11!/[4! 7!]

₁₁C₄ = 330

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Answer:

30%

Step-by-step explanation:

See Venn diagram below

Answer:

x=-1

Step-by-step explanation:

we 2 minus 1 and plus 3 (i forgot)

By conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.

The order of operations refers to the rules that specify how to solve an expression including many operations.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).

So, we know that:

John earns $22 per hour for the first 40 hours of a week.

After every additional hour, he earns 1.5 times $22 each hour.

22 * 1.5 = $33

So, John's gross pay if he worked 44 hours will be:

22*40 + 33*4

880 + 132

$1,012

Therefore, by conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.

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The graph of the function f(x) = { x + 1 } at different domain are plotted and attached

{ if x < 0 }

{ if 0 < x < 1 }

{ if x > 1 }

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

The graph of f(x) = x + 1 for different domain is plotted and attached

{ if x < 0 } the domain includes { -∞....-3 -2 -1}

{ if 0 < x < 1 } the domain includes { 0...0.7 0.8 0.9}

{ if x > 1 } the domain includes { 0 1 2 3 4 5...∞ }

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Answer:

[tex]y=-1/4x+3[/tex]

Step-by-step explanation:

Slope-intercept form is of the form y=mx+b where m is the slope and b is they y-intercept. To solve for the slope, we take the difference of two y-coordinates divided by the x-coordinates difference. Doing this, we get

[tex](3-1)/(0-4)[/tex]

[tex]=-1/4[/tex]

This is our slope. The y-intercept is 3, because the line hits the y-axis when y=3.

Thus, our equation is y=-1/4x + 3.

Feel free to contact me with any questions. I hope this helps!