A school has 500 students and 25 teachers. Which of these statements is true based on this information?

Answer:

B. The function shown on the graph has a smaller rate of change, but a higher starting point.

Step-by-step explanation:

Rate of change = slope of a linear graph.

Given the linear function, [tex] y = 4x + 2 [/tex] , the rate of change here is represented by the slope of the line, which is 4.

Let's find the rate change of the function represented on the graph using slope formula:

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use coordinates of any two points on the line. Let's take,

[tex] (0, 4) = (x_1, y_1) [/tex]

[tex] (1, 7) = (x_2, y_2) [/tex]

Rate of change = [tex] \frac{7 - 4}{1 - 0} = \frac{3}{1} = 3 [/tex]

Rate of change of the linear function of the graph = 3.

Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.

The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.

The starting value of the linear function, y = 4x + 2 is 2.

The starting value of the function on the graph is 4. At this point, x = 0.

Thus, the function on the graph has a higher starting point.

The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:

B. The function shown on the graph has a smaller rate of change, but a higher starting point.

Answer:

A

Step-by-step explanation:

Correct on  A P E X

Answer:

x ≥ 32

Step-by-step explanation:

x + 18 ≥ 50

subtract 18 from both sides.

x ≥ 50 - 18

x ≥ 32

Answer:

373376

Step-by-step explanation:

i think its that

Answer: 1.26 inches

explanation :

because if you subtract 7 by 3.2 you'll get

3.8, 3.8 will be the total of rain if you add week 1 2 4 , then youll have to find the average by dividing 3.8 by 3 youll get 1.26 . so that means the average lenth of the rain for 1 2 4 is 1.26 inches

Answer:

-3

Step-by-step explanation:

Answer:

C. Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero

Step-by-step explanation:

We want to see if all rational functions always have at least one asymptote or hole.

The answer is C:

" Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero"

A rational function is something like:

[tex]f(x) = \frac{q(x)}{p(x)}[/tex]

Where q(x) and p(x) are polynomials.

The asymptotes or holes happen when the denominator is equal to zero and the numerator don't.

Now, in the cases where the numerator and denominator become zero for the same value of x, it means that we can factorize the polynomials and remove the common factor. So there we do not have a hole nor asymptote.

Now, because the denominator becomes equal to zero, this means that we are dividing by a reallly small value, then the quotient will tend to infinity or negative infinity, this means that we will have a vertical asymptote.

Then the correct option is C:

Yes, the function will have either a vertical asymptote or hole for any values that cause the denominator to be equal to zero

If you want to learn more, you can read:

https://brainly.com/question/4084552

Answer:

93%

Step-by-step explanation:

Answer:

1.45 x 5 is the answer but i want you to do some work for it and if its wrong im sorry but thats what i calculated it as

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

an independent variable is something that you can change or control

Answer:

4f+12

Step-by-step explanation:

Combine Like Terms:

=3f+12+f

=(3f+f)+(12)

=4f+12

Answer:

there are no solutions

Step-by-step explanation:

HERE ARE THE STEPS IN CASE U NEED EM :)

Step 1: Simplify both sides of the equation.

−8(n+5)=−44−8n

(−8)(n)+(−8)(5)=−44+−8n(Distribute)

−8n+−40=−44+−8n

−8n−40=−8n−44

Step 2: Add 8n to both sides.

−8n−40+8n=−8n−44+8n

−40=−44

Step 3: Add 40 to both sides.

−40+40=−44+40

0=−4

Answer:

x=1

Given :

One cell phone company offers a plan that costs $26.99 and includes unlimited night and weekend minutes.

Another company offers a plan that costs $18.99 and charges $0.35 per minute during nights and weekends.

To Find :

For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan.

Solution :

Let, after n number of nights and weekends second plan is most costly.

So,

[tex]18.99+0.35x > 26.99\\\\0.35x > 8\\\\x>22.85[/tex]

Therefore, after 22 night and weekends second plan is  most costly.

Hence, this is the required solution.

Answer:

3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (- 3, - 1)

d = [tex]\sqrt{(-3-0)^2+(-1+4)^2}[/tex]

   = [tex]\sqrt{(-3)^2+3^2}[/tex]

   = [tex]\sqrt{9+9}[/tex]

   = [tex]\sqrt{18}[/tex]

   = [tex]\sqrt{9(2)}[/tex]

    = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Hey there!

Given;

The points are;(0,-4) and (-3,-1).

Use formula for distance between the two points.

[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Put all values.

[tex]d = \sqrt{( { - 3 - 0)}^{2} + ( { - 1 + 4)}^{2} } [/tex]

Simplify to get answer.

[tex]d = \sqrt{9 + 9} [/tex]

[tex]d = \sqrt{18} [/tex]

[tex]d = 3 \sqrt{2} [/tex]

Therefore, the distance is 3√(2) units or 4.24 units.

Hope it helps...

Answer

Step-by-step explanation:

Answer:

- 5/4 or - 1 1/4

Step-by-step explanation:

Step 1:

2x² + 8 - 3 = 0      Equation

Step 2:

4x + 8 - 3 = 0      Exponents

Step 3:

4x + 5 = 0      Combine Like Terms

Step 4:

4x = - 5     Subtract 5 on both sides

Step 5:

x = - 5 ÷ 4    Divide

Answer:

x = - 5/4 or - 1 1/4

Hope This Helps :)

Answer:

2 boxes

Step-by-step explanation:

im sorry this is a bit late but this is for other people

Answer:107.2

Step-by-step explanation:

So u know how much he gets in 4 days so u subtract 4 days by 2 and u get 2 so then divide 214.40 by 2 and u get 107.2

Answer:

Step-by-step explanation:

1. 7 is not the solution of 3n+9 because if you do 7*3 and add 9 you will get 30.

2.

  -5+3n=28

-5+5+3n= 28+5

         3n=33

            n= 11  

3. 3n= 28

     n= 28/3 or 9.333333

4. -3+n+5=28

          n+2= 28

       n+2-2= 28-2

                n= 26  

Answer:

it's d

Step-by-step explanation:

i got it right and the pic above :)

Answer:

20

Step-by-step explanation:

1 hour = 60 minutes

1200 riders = 60 minutes: divide by sixty to set equal to 1

20 riders = 1 minute

Just divide 1,200 by 60 because there are 60 minutes in 1 hour.

Just think about it this way: If you eat 1 banana a minute, you eat 60 bananas an hour. The amusement park ride goes around once a minute. In one hour it goes around 60 times. Each time it carries the same amount of people.

1,200 divided by 60 is...

20!

The ride can carry 20 riders each ride, and each ride lasts a minute.

A = ( 15 , 15 )

B = ( 6 , 33 )

[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]

[tex]slope = \frac{33 - 15}{ 6 - 15} \\ [/tex]

[tex]slope = \frac{18}{ - 9} \\ [/tex]

[tex]slope = - 2[/tex]

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

A. -2

Step-by-step explanation:

took the test :))

A standard form equation is when it is set up

Ax + By = C.

6x + 2y = 4

A slope-intercept form equation is when it is set up y=mx+b.

Y = - 3x + 2

In order to go from one form to another, all you have to do is change the order of the given numbers.  First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it.  At this point your equation will be set up By = -Ax + C.  Then you want to divide the B from the By and the rest of the equation.  Therefore you will have y = - Ax/B + C/B.  This is the same thing as the slope-intercept form, just a few of the letters are different.

Example 1:        

Change from standard to slope form

8x + 4y = 16

8x + 4y = 16  first subtract  8x

4y = -8x + 16   then divide all by 4

y = -2x + 4   slope form

Example 2:

 6x + 3y = 21

6x + 3y = 21  subtract  6x

3y = -6x + 21  then divide all by 3

y = -2x + 7   slope form

pls mark brainest

Answer:

1.5

Step-by-step explanation:

Answer:

83.04

Step-by-step explanation:

First, you need to know how many drivers there are. But if the question doesn't tell you how many drivers then the answer would be 83.04 for one bus driver. If you forgot to add how many drivers then you can just multiply 83.04 to how many bus drivers then you get your answer.

Answer:

7040

Step-by-step explanation:

first find how many are in 1 mile by doing 5280/3 to get 1760.

second multiply 1760x4 to get 7040

If 1 yard = 3 feet and 1 mile = 5,280 feet, then there are 7,040 yards in 4 miles.

To convert miles to yards, we can use the given conversion factors:

1 mile = 5,280 feet

1 yard = 3 feet

We need to find how many yards are there in 4 miles.

Convert 4 miles to feet using the conversion factor:

4 miles × 5,280 feet/mile

= 21,120 feet

Now, Convert the 21,120 feet to yards using the yard-to-feet conversion factor:

21,120 feet / 3 feet/yard

= 7,040 yards

Therefore, there are 7,040 yards in 4 miles.

To learn more on Conversion factor click:

https://brainly.com/question/32020768

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Answer:

1: equivalent

2: equivalent

3: not equivalent

Step-by-step explanation:

for 1 & 2, you just switch the terms, but for 3, the 6z is not negative in the first expression, but it is in the second.

Answer:

gas left after 3 hours = 4.75

gas left after t hours = 10-1.75t

Step-by-step explanation:

According to DeltaMath "Since Camila uses 1.75 gallons of gas per hour, she would use 1.75 x 5, or 5.25 gallons in 3 hours. Since Camila started with 10 gallons in the tank, the amount of remaining after 3 hours would be 10-5.25 or 4.75 gallons. "

Answer: n = 27

Step-by-step explanation: n in (-oo:+oo)

(1/3)*n = 9 // - 9

(1/3)*n-9 = 0

1/3*n-9 = 0 // + 9

1/3*n = 9 // : 1/3

n = 9/1/3

n = 27

Answer:

okay now I know this for absolute sure the answer is 2 over 9 aka 2/9

Step-by-step explanation:

Answer:

error

Step-by-step explanation:

you have a defined value by not having a Y so you basically can not put x=-6 because x actually equals 2!