How many solutions does this system of equations have? y=-1/3x+7 y=-2x^3+5x^2+x-2 A. no solution B. 1 solution C. 2 solutions D. 3 solutions

Answer:

40° and 110°

Step-by-step explanation:

the sum of the 4 angles in a quadrilateral = 360°

the ratio of 2 angles = 4 : 11 = 4x : 11x ( x is a multiplier )

sum the 4 angles, equate to 360 and solve for x

140 + 70 + 4x + 11x = 360

210 + 15x = 360 ( subtract 210 from both sides )

15x = 150 ( divide both sides by 15 )

x = 10

Then

4x = 4 × 10 = 40°

11x = 11 × 10 = 110°

the measure of the 2 angles is 40° and 110°

We know that Lauren has 7/8 gallons of paint in total using simple mathematical operations.

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

There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.

The five basic operations in mathematics are addition, subtraction, multiplication, division, and modular forms.

So, we know that:
Lauren has 3/4 gallons of paint.

She later added 1/8 gallon of more paint.

The total paint she has is:

3/4 + 1/8

2(3) + 1/8

6+1/8

7/8

Therefore, we know that Lauren has 7/8 gallons of paint in total using simple mathematical operations.

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Check the picture below.

The required possible lengths of the parking lot is 300.

The  perimeter of a shape is characterized as the complete length of its limit. The border of a not entirely set in stone by adding the length of the relative multitude of sides and edges encasing the shape.

The area of a shape is the "space encased inside the border or the limit" of the given shape. We compute the region for various shapes utilizing math equations.

Perimeter = 520 feet, area = 12000 feet

We know that,

Perimeter = 2(L + B)

2(L + B) = 520

(L + B) = 260--------(1)

And

Area = L×B = 12000

From equation(1),we get

L(L - 260) = 12000

L^2 - 260L = 12000

L^2 - 260L - 12000 = 0

On solving above quadratic equation

L = 300 or L = -40

Thus, possible value of length is 300.

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Answer: A linear equation in the form y = mx + b can be determined by examining the values in the table. To find the value of m, we can use the formula for the slope of a line, which is (y2 - y1) / (x2 - x1). Using the first and last values in the table, we can compute the slope as (7 - 15) / (4 - 0) = -1/4.

Therefore, the equation that represents the table is:

y = (-1/4) * x + b

We can use any of the given points to find the value of b. For example, using the point (1, 13), we can solve the equation to find b:

13 = (-1/4) * 1 + b

b = 14 - 1/4 = 13 3/4

Therefore, the final equation that represents the table is:

y = (-1/4) * x + 13 3/4

Answer:

No, 9 is not a solution to 12 [tex]\leq[/tex] a

Step-by-step explanation:

 The expression 12 [tex]\leq[/tex] a states " 12 is less or equal to a."  If a were 9, the statement would not be true, since 9 is less than 12.  This contradicts the expression.

Answer:

Step-by-step explanation:

8 1 5

If the volume of a cube decreases at a rate of 10 m/sec, then the  rate at which the side of the cube changes when the side of the cube is 2 m is -0.83 meter per second

The rate of  volume of the the cube decreasing = 10 meter per second

Consider the side of the cube is x

The volume of the cube = x^3

The rate of change of volume with respect to time

dV / dt = 3x^2 dx/dt

dV / dt = -10 meter per second

The dx / dt = (dV / dt) / 3x^2

We haver to find the rate at which side of the cube changes when the side of the cube is 2 meter

Then x = 2

dx / dt = -10 / (3 × 2^2)

= -10 / 12

= -0.83 meter per second

Therefore, the rate at which side of the cube changes when the side of the cubes is 2 meter is -0.83 meter per second

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The area of the sector of circle G is calculated as; 18.85 sq. units

The formula for the area of a sector is;

A = θ/360 * πr²

where;

A is area

r is radius

θ is central angle

We are given;

Radius of sector; r = 12 units

Central angle; θ = 15°

Thus;

A = 15/360 * π(12)²

A = 18.85 sq. units

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Answer: B

Step-by-step explanation:

For [tex]f(x)=3x-\frac{1}{2}[/tex], comparing it with slope-intercept form yields that the slope is [tex]3[/tex] and the [tex]y[/tex]-intercept is [tex]-1/2[/tex].

For the graphed function, the slope is [tex]\frac{-4-0}{-2-6}=\frac{1}{2}[/tex] and the [tex]y[/tex]-intercept is about [tex]-3[/tex].

Since the absolute value of the slope of the graphed function is less than that of [tex]f(x)[/tex], option B is correct.

The equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.

What is the slope of the equation?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

To find the equation of a line that is parallel to y = -1/2x - 3 and passes through the point (4, -1), we can use the point-slope form:

y - y1 = m(x - x1)

where (x1, y1) is the given point, and m is the slope of the line.

Since the given line is parallel to y = -1/2x - 3, it has the same slope, which is -1/2. Substituting this value for m and the coordinates of the given point into the point-slope form, we get:

y - (-1) = (-1/2)(x - 4)

Combining like terms and multiplying through the parentheses, we get:

y + 1 = -1/2x + 2

Hence, the equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.

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The difference between the two is only 0.01 %. The first size is a better purchase for Unit Price even though both might be rounded off to $0.3/oz.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

A shampoo's unit price is its cost per ounce. It is a straightforward division problem that may be solved with a simple calculator or pen and paper.

The first size weighs 14.2 ounces and costs $3.98.

This shampoo's unit price is ($3.98/14.2 oz) = $0.28/oz ( rounded off to nearest cent)

The second size weighs 33.9 ounces and costs $9.98.

The second shampoo's unit price is ($9.98/33.9 oz) = $0.29/oz (also rounded off to nearest cent)

Hence, There is just a 0.01% difference between the two. Even though both sizes may be rounded to $0.3/oz, the first size is the preferable choice in terms of unit price.

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Complete Question-

A certain shampoo is available in two sizes. A 13.5 ounce bottle costs $2.19, A 29.2 ounce bottle costs $5.37. Find the unit price for each size. then state which size is the better buy based on the unit price. Round your answers to the nearest cent.?

On solving the question, by help of Highest common Factor we got that He can only produce 4 bags before there are no more cookies left.

In mathematics, HCF is referred to by its full term, highest common factor. When dividing two or more numbers, the highest common factor (HCF) is two. For instance, the HCF of 4 and 6 is 2.

48 chocolate chips total.

64 vanilla cookies total.

100 raisin cookies are present.

[tex]HCF - 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24,48.\\64 = 1, 2, 4, 8, 16, 32 , 64\\100 = 1, 2, 4, 5, 10, 20, 25, 50, , 100.[/tex]

4 =  highest common factor of 48, 64 and 100

As a result, he can only produce 4 bags of cookies until none are left over.

For each bag:

cookies and chocolates = 48/4

= 12 each

64/4 vanilla cookies

= 16 each

100/4 raisins in cookies

= 25 each

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The ratio of false positives to true positives is 3/49.

So, option B is correct.

A percentage is an expression that converts two ratios into an equal value. For instance, you may write the ratio as 1: 3 if there is 1 man and 3 women, meaning that 40% of the population is female and 14% is male. For any two numbers, the ratio formula is stated as a: b a/b. The percentage formula, on the other hand, is represented as a:b::c:da:b::c:da:b=cd. In mathematics, a ratio shows how many times one number is represented by another. For instance, if there are eight oranges and six lemons in a dish of fruit, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

The percentage of false positives=3%

The percentage of true positives=49%

Ratio=3/49

Therefore, the ratio of false positives to true positives is 3/49.

So, option B is correct.

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Answer:

B

Step-by-step explanation:

Answer: x = 1.3125

Step-by-step explanation:

−4.75+0.8x=−3.7

First, add 4.75 to both sides

0.8x = 1.05

Then divide by 0.8 on both sides

x = 1.3125

Answer:

x = 1.3125

Step-by-step explanation:

The measure of length of side p is 33 ft  .

What is measure of length?

Some of the commonly used units for measuring length are centimeters, millimeters, meters, inches, feet, yards, feet, etc. Some of the units to measure mass are pounds, ounces, kilograms, grams, centigrams, milligrams, etc.

Given as the length of the swimming pool measured by drawing similar triangle :

I.e The smaller Triangle similar to larger Triangle

Let o is the points of meeting of two triangles

And OAB is smaller triangle having sides OA , AB , BO

The measure of side OA = 8 ft

The measure of side AB = 12 ft

Again, OPQ is larger triangle having sides OP , PQ , QO

The measure of side OP = 22 ft

The measure of side PQ = p ft

∵ both Δ OAB    and  ΔOPQ  are similar

The from similarity property  

[tex]\begin{aligned}& \frac{P Q}{A B}=\frac{O P}{O A} \\& \text { l.e } \frac{p}{12}=\frac{22}{8} \\& \text { Or, } \frac{p}{12}=\frac{11}{4} \\& \therefore \mathrm{p}=\frac{11}{4} \times 12 \\& \text { or. } \mathrm{p}=11 \times 3 \\& \text { l.e } \mathrm{p}=33 \mathrm{ft}\end{aligned}[/tex]

Hence, the measure of length of side p is 33 ft  .

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Answer:

The percent decrease is 70%.

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

The function that has the greater initial​ value is function A

From the question, we have the following parameters that can be used in our computation:

Function A: table

Function B: y = 3x + 6

The initial value of a function is when the input value is 0

i.e. when x = 0

From the table, we have

x = 0 when y = 8

From the equation, we have

y = 3(0) + 6

y = 6

8 is greater than 6

Hence. function A has the greater initial value

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By using the concept of reflection, it can be calculated that-

Value of x is 6 and value of y is -7

What is reflection?

Reflection is a mathematical transformation in which a mirror image of an object can be formed with respect to a line called the line of reflection.

The point is (-2, -4)

(-2, 4) is reflected across y-axis

New coordinate after reflection = (2, -4)

By the problem,

(x - 4, y + 3) = (2, -4)

x - 4 = 2

x = 2 + 4

x = 6

y + 3 = -4

y = -4 - 3

y = -7

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The area of the image is, 7396 square pixels.

what is area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

Let x represent the length and the width of the image.

The area of the image and the border is represented by the expression

(x + 4)^2.  

Total area - area of image = Area of border

(x + 4)^2   -          x^2          =     704

⇒ x^2 + 8x + 16 - x^2 - 704 = 0

                             8x - 688 = 0

                                       8x = 688

                                         x = 86

The image will be 86 pixels by 86 pixels.

The area becomes  86*86 = 7396 square pixels.

Hence, the area of the image is, 7396 square pixels.

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Using Venn diagram, The value of x is equal to 15.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that 50 students study at least one of the subjects geography (G), mathematics (M) and history (H).

Thus, 18 study only mathematics. 19 study two or three of these subjects.

23 study geography.

G + M - (x + 7) = 23 + 18 -(x + 7) = 19

23 + 18 -(x + 7) = 19

41 - x - 7 = 19

x = 15

Therefore,the value of x is 5.

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Answer:

Not enough context

Step-by-step explanation:

We need the bar graph/information for the amount child and adult tickets cost.

Answer:

See Picture

Step-by-step explanation:

The answer is No because one x-value corresponds to two different

y-values.

What is the function?

Each element of X is given exactly one element of Y by a function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.

Here the given function is,

           x     y

           3     4

           4     4

           5     2

           5     5

From the table we can see that there are 2 values of x having same

y - value.

Hence, the given table does not represents a function.

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For the 5.5% coupon corporate bond, the coupon payment would be $55 per year. For the 6.45% coupon treasury note, the coupon payment would be $64.50 per year.

Calculations using percentages show how much a given number contributes to the total. It is computed by dividing the number by the sum and multiplying by 100. It is denoted by the sign "%." For example, if a basket contains ten apples, three of which are red, the proportion of red apples in the basket is 30% (3/10 x 100). In a wide range of disciplines, including business, statistics, and education, percentage is often utilized. Calculating interest rates, taxes, and other financial activities in the finance industry annually frequently uses percentages. The frequency of events or the likelihood of a certain outcome are both measured using this method in statistics. Calculating grades and evaluating a student's overall performance are both done using this in education.

How to solve?

For the 5.5% coupon corporate bond, the coupon payment would be 5.5% of $1,000 = $55 per year.

For the 6.45% coupon treasury note, the coupon payment would be 6.45% of $1,000 = $64.50 per year.

For the corporate zero-coupon bond maturing in 10 years, there are no coupon payments. The bond will only make a payment of $1,000 at maturity.

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Answer

$7

Explaination :

3 bracelet - $5( for 1)

3 necklace - (unknown)

Total amount paid - $40

change - $4

Calculation for all 3 bracelet

$5×3=$15

Calculation for the real amount

$40-$4=$36

Calculation for 3 necklace

$36-$15=$21

Calculation for 1 necklace

$21÷3=$7

There reason I divide it with 3 was because I got the total amount for 3necklace now I only want 1..

Final answer - $7#

Hope this helped :)

Answer:

----------------------------

Each bracelet cost $5 and necklace costs x.

The total for 3 of each is:

Set equation and solve for x:

Answer: no, not in any way

Step-by-step explanation: it does not matter how many times you multiple 12, you will never end up getting 44.