Select the correct answer.
Which of the following represents a function?
B. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
C. x -5 -1 9 8 -1
y 1 7 23 17 1

Answer:

y = (-1/4)x - 10

Step-by-step explanation:

y = 4x - 1

y = -1/4x - 1

(4, -11),

(x₁, y₁)  

y - y₁ = m(x - x₁)

y - (-11) = (-1/4)(x - 4)

y + 11 = (-1/4)x + 1

   -11                 -11

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

y = (-1/4)x - 10

I hope this helps!

The angle measures in this problem are given as follows:

1. Angle SVT: 79º.

2. Angle BEC: 65º.

Angles SVT and SVR are vertical, meaning that they have the same measure, hence we can find the value of y as follows:

8y - 33 = 5y + 9

3y = 42

y = 42/3

y = 14.

Hence the measure of the angle SVT is of:

m<SVT = 5y + 9 = 5(14) + 9 = 79º.

The two angles given in this problem are also vertical, meaning that we can solve for x as follows:

5x - 10 = 3x + 40

2x = 50

x = 50/2

x = 25º.

Then the bottom angle is:

3 x 25 + 40 = 115º.

The bottom angle is supplementary with angle BEC, hence we can find the measure of angle BEC as follows:

115 + m<BEC = 180

m<BEC = 180 - 115

m<BEC = 65º.

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Answer:

I think it's (4,5)

Step-by-step explanation:

Answer:

4(4x + 7)

Step-by-step explanation:

To answer this question you need to understand what GCF is

GCF is Greatest Common Factor

GCF is the highest number that divides exactly into two or more numbers.

The expression is 16x + 28

The highest number that can divide 16 and 28 is 4

Dividing 16x + 28 gives => 16x/4 + 28/4 => 4x + 7

So the factored expression is

4(4x + 7)

Answer:

B. Opposite angles in a parallelogram are congruent.

Explanation:

The figure shows a parallelogram. In this parallelogram, ∠R and ∠T are opposite angles and ∠Q and ∠S are opposite angles.

Since the information says that ∠R is congruent to ∠T and ∠Q is congruent to ∠S, the theorem is opposite angles in a parallelogram are congruent.

So, the answer is B. Opposite angles in a parallelogram are congruent.

Answer:

The slope would be 25/1 or 25.

Step-by-step explanation:

Use the formula y2-y1 over x2-x1. Or use rise over run.

Answer:

23

Step-by-step explanation:

Using proportions, it is found that:

42. x and y are not proportional.

43. The number 21 is 60% of 35.

44. The number 27 is 36% of the number 75.

Two variables, x and y, will represent a proportional relationship if the ratio between them is always the same.

From the table, the ratios are given as follows:

Different ratios, hence the variables x and y are not proportional.

To find the percentage of a number, the decimal equivalent of the percentage is multiplied by the number.

The decimal equivalent of a percentage of 60% is:

60/100 = 0.6.

Hence the percentage of 35 is calculated as follows:

0.6 x 35 = 21.

The percentage that the number 27 represents of the number 75 is given by the division of 27 by 75 multiplied by 100%, hence:

27/75 x 100% = 36%.

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ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

We calculate the inverse function as follows:

The image above represents a proof of the Pythagorean Theorem is image B.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle.

It states that the sum of the squares of the leg lengths equals the square of the hypotenuse length.

This is illustrated as:

a² = b² + c²

The values in image 2 will be used to ascertain this. Therefore,

5² + 12² = 13²

25 + 144 = 169

169 = 169

Therefore, B is correct as the value is gotten.

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Answer:

u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye

Step-by-step explanation:

The value of x is 40 and the value of y is 25.

What is consecutive interior angles?

Pairs of angles that are between two lines and on the same side of the line that cuts through the two lines are referred to as consecutive internal angles. According to the theorem, if two lines are parallel, then successive interior angles are supplementary to one another.

Angles that add up to 180 degrees are referred to as supplementary angles.

As we know that the sum of three angles of triangle is 180 degrees.

So from the first figure we get,

2x + x + y + y + 10 = 180

3x + 2y = 170          ...(1)

From the second figure we get,

4x - y + x + 5 = 180         (Since they are consecutive interior angles)

5x - y = 175             ...(2)

After solving equation (1) and (2), we get

x = 40 and y = 25

There the value of x is 40 and the value of y is 25.

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Remember that

1 m3=1,000 lt

2 m3=2,000 lt

The volume of the tank is equal to

V=L*W*H

we have

V=2 m3

L=4 m

W=1.5 m

H=?

substitute given values

2=4*1.5*H

solve for H

2=6H

H=2/6

There are 24000 spectators left the contest discontented.

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 have been given that Only 20 percent of the spectators left the contest discontented.

If 6000 spectators left the contest contented, then the contest  left discontented are;

The spectators left the contest contented = 6000

20/ 100 x D = 6000

D = 6000 x 100/20

D = 30000

Now the contest  left discontented are;

80 percent = 80/100 x 30000

= 24000

Hence, 24000 spectators left the contest discontented.

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Answer:

Step-by-step explanation:

Given Equation

3x^2 + x = - 2x - 7  

Solution

Add 2x + 7 to both sides

3x^2 +x + 2x + 7 = -2x - 7 + 2x + 7           Combine like terms

3x^2  + 3x + 7 = 0

Givens

x = (-b +/(√b^2 - 4ac))/2

x = (-3 +/- (√3^2 - 4(3 *7)) / 2*3

x = (- 3 +/- (9 - 84)) / 2 *3

x = (- 3 +/- √ (-75))/6

x = (- 3 +/-  8.660i ) / 6

x = -.5 +/-1.443i

Answer

x = -.5 + 1.443.i

x = -.5 - 1.443i

Answer:

p(-1) = 7

p(2) = -2

Step-by-step explanation:

We have p(x) = 4 - 3x

p(-1) = 4 - 3(-1) = 4 + 3 = 7

p(2) = 4 - 3(2) = 4 - 6 = -2

If two expressions have the same coefficients of the variable, then the variable can be any number

For the first choice

3(3r + 3) = 9r + 9 === 1st expression

6r + 6 ===== 2nd expression

If we equate them

9r + 9 = 6r + 6

If we solve the equation we will find just one value of r

9r + 9 - 6r = 6r - 6r + 6

3r + 9 = 6

3r + 9 - 9 = 6 - 9

3r = -3

r = -1

But in the other choices, the two expressions have the same coefficients of r

Then when we equate them they will cancel each other

Then r can be any value

Because it does not affect the equation

Answer:

B' (-3,11)

Step-by-step explanation:

B(2,3)  The rule is saying subtract 5 from x and 8 add to y

(2 -5, 3 + 8)

(-3,11)

The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

In the question ,

it is given that

the required line is perpendicular to 4x + 4y =32

the slope of 4x + 4y =32

4y = -4x + 32

y = -x + 8

slope = -1

so the slope of the perpendicular line [tex]=[/tex] 1   .

the equation of the perpendicular line passing through (7,1) and slope as 1  is

(y - 1) [tex]=[/tex] 1 (x - 7)

y-1 = x-7

x - y = 7-1

x - y = 6

Therefore , The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is  x - y = 6 .

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Answer: She already got rid of two red pens, so there's one red pen left.

5-1=4-1=3. 1 red 1 blue 1 green. 100/3=33.3333333… so her chance of getting another red pen is 33.3333333333333333333333% and a 66.66666666666666666666% chance of not.

Step-by-step explanation

The slope intercept form of the equation that passes through (-6, -5) and (-4, -4) is y = 1 / 2x - 2

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, let's find the slope of the lines using (-6, -5) and (-4, -4).

m = y₂ - y₁ / x₂ - x₁

m = -4 + 5 / -4 + 6

m = 1 / 2

Therefore, lets find the y-intercept using (-4, -4)

-4 = 1 / 2 (-4) + b

-4 = -2 + b

b = -4 + 2

b = -2

Therefore, y = 1 / 2x - 2

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The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2

The equation in slope intercept form can be represented as :

y = MX + b

where m is the slope, b is the y-intercept

Therefore, to determine the slope of the lines using (-6, -5) and (-4, -4).

m = y₂ - y₁ / x₂ - x₁

m = -4 + 5 / -4 + 6

m = 1 / 2

Therefore, the y-intercept using (-4, -4)

-4 = 1 / 2 (-4) + b

-4 = -2 + b

b = -4 + 2

b = -2

Thus, y = 1 / 2x - 2

The slope-intercept form of the equation that passes through (-6, -5) and (-4, -4) will be; y = 1 / 2x - 2

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Answer:

w = 35

Step-by-step explanation:

To solve this problem, you will need to undo it in reverse order. The first thing done to w is to multiply it by 17 and then add 29 to it. You need to undo the addition of 29 with subtraction first.

624-28=595

Next, you need to undo the multiplication by 17 with division.

[tex]\frac{595}{17} =35[/tex]

Therefore, your answer is 35

This company’s revenue function is given by −0.25x³ - 4x² + 1000x + 16,000.

Mathematically, the amount of revenue that's being generated by a company or business organization can be calculated by using the following function (expression):

Revenue = price × demand

R(x) = p(x) × d(x)

The demand (d) for this company’s product at cost (x) is given by this demand function:

d(x) = −0.25x² + 1,000

Also, the price (p) in dollars that this company can charge for its product is given by this price function:

p(x) = x + 16

Substituting the parameters into the revenue function, we have;

Revenue function, R(x) = p(x) × d(x)

Revenue function, R(x) = (−0.25x² + 1,000) × (x + 16)

Revenue function, R(x) = −0.25x³ - 4x² + 1000x + 16,000.

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Complete Question:

Suppose demand, d, for a company's product at cost, x, is predicted by the function, d(x) = −0.25x² + 1,000, and the price, p, that the company can charge for the product is given by p(x) = x + 16. Find the company's revenue function.

Answer: [tex]-10 < x < 0, x > 12[/tex]

Step-by-step explanation:

[tex]f(x) < g(x)[/tex] when the graph of [tex]f(x)[/tex] is below the graph of [tex]g(x)[/tex].

Answer:

x = - 5;

y = 5;

Step-by-step explanation:

Identify the equation.

y = ( 2 / 3 )x + c;

Substitute a point.

5 = ( 2 / 3 )( - 2 ) + c;

5 = ( - 4 / 3 ) + c;

5 - ( - 4 / 3 ) = c;

5 + ( 4 / 3 ) = c;

19 / 3 = c;

y = ( 2 / 3 )x + ( 19 / 3 );

Substitute point A.

3 = ( 2 / 3 )x + ( 19 / 3 );

3 - ( 19 / 3 ) = ( 2 / 3 )x;

( 9 / 3 ) - ( 19 / 3 ) = ( 2 / 3 )x;

- ( 10 / 3 ) = ( 2 / 3 )x;

- ( 10 / 3 )( 3 / 2 ) = x;

( - 30 / 6 ) = x;

- 5 = x;

x = - 5;

Substitute point B. Use common sense and notice that point B is actually the same as the first point.

y = 5;

Answer:

x =  -5

y = 5

Step-by-step explanation:

You could write the equation in the point slope form of a line

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex])

Use the slope they gave us 2/3.  Use the point they gave us for [tex]x_{1}[/tex] ( -2 ) and [tex]y_{1}[/tex] ( 5)

y -5 = 2/3(x - -2)

y - 5 = 2/3(x + 2)  Plug in 3 for y to solve for x

3-5 = 2/3(x + 2)

-2 = 2/3x + 4/3  subtract 4/3 from both sides of the equation

-2 - 4/3 = 2/3x

[tex]\frac{-6}{3}[/tex] - [tex]\frac{4}{3}[/tex] = 2/3x

[tex]\frac{-10}{3}[/tex] = 2/3 x  Multiply both sides by [tex]\frac{3}{2}[/tex]

([tex]\frac{3}{2}[/tex])[tex]\frac{-10}{3}[/tex] = ([tex]\frac{3}{2}[/tex])([tex]\frac{2}{3}[/tex]) x

-5 = x

substitute in -2 for x to solve for y

y - 5 = 2/3(x + 2)

y - 5 = 2/3(-2+2)

y - 5 = 2/3(0)

y - 5 = 0  Add 5 to both sides

y = 5

Using the normal distribution, the probabilities are given as follows:

a. Between 8 and 12 cases with side effects: 0.582 = 58.2%.

b. More than 16 cases with side effects: 0.0174 = 1.74%.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by the equation presented below:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for the binomial distribution in this problem are given as follows:

p = 0.05, n = 200.

Hence the mean and the standard deviation of the approximation are given as follows:

For item a, using continuity correction, the probability of between 8 and 12 cases with side effects is the p-value of Z when X = 12.5 subtracted by the p-value of Z when X = 7.5, hence:

X = 12.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (12.5 - 10)/3.08

Z = 0.81

Z = 0.81 has a p-value of 0.7910

X = 7.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (7.5 - 10)/3.08

Z = -0.81

Z = -0.81 has a p-value of 0.2090.

0.7910 - 0.2090 = 0.582 probability.

For item b, the probability of finding more than 16 cases with side effects is one subtracted by the p-value of Z when X = 16.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (16.5 - 10)/3.08

Z = 2.11

Z = 2.11 has a probability of 0.9826.

1 - 0.9826 = 0.0174 = 1.74% probability.

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Answer:

2 hours

Step-by-step explanation:

10+10= 20, so $20 fee

2+2= 4, so a fee for every hour she has the bike.

20+4= $24, so 2 hours maximum

If you tried adding another hour (which would be $12) that would equal $36 which is over her budget.