kara’s family is thinking about renting a van that can travel 3 3/4 miles on 1/5 gallon of gas. Kara wants to know the gas mileage of the van.

Answer:

Step-by-step explanation:

180 = x + 24

x = 180 - 24

x = 156

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:

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:

a>4 or a 9

Step-by-step explanation:

-9 is less than 7 thats why its a>4 or 8 a 9

Answer:

A is correct Step-by-step explanation:

Answer:

x=1

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]

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Answer:

A. -2

Step-by-step explanation:

took the test :))

Answer:

-15

Step-by-step explanation:

-30/3 = Negative thirty divided by three equals Negative Ten.

Negative ten plus negative five equals Negative Fifteen

Answer:

is -15

Step-by-step explanation:

-30/3+-5 =

-10 + (-5) =

-15

Answer:

x ≥ 32

Step-by-step explanation:

x + 18 ≥ 50

subtract 18 from both sides.

x ≥ 50 - 18

x ≥ 32

Answer:

Allie gains 4, she loses 4, she has 0 points.

Step-by-step explanation:

The arrow shows it. Round 1 goes 0 to 4. Round 2 goes 4 to 0.

Answer:

-32/3 16 -16/3

Step-by-step explanation:

I got it wrong and this was the right answer

Answer:

Step-by-step explanation:

Answer:

373376

Step-by-step explanation:

i think its that

Answer:

1.5

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!

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

-6/3= -2

3/-6= -1/2 they are not equal. So false

-8*9= -72

9*-8= -72 They are equal. So true

hope this helps!

Answer:

2 boxes

Step-by-step explanation:

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

Answer:

50

Step-by-step explanation:

The angles must add up to 180 and 180-105=75-25=50

And yes you should

Answer:

50th term would be 317

Step-by-step explanation:

The "shortcut" would be 17+6x since you have a starting value of 17 and you add 6 to each term.

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:

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Answer:

4f+12

Step-by-step explanation:

Combine Like Terms:

=3f+12+f

=(3f+f)+(12)

=4f+12

Answer:

b.

Step-by-step explanation:

an independent variable is something that you can change or control

Answer:

Slope: 3

Step-by-step explanation:

find 2 points on the line and do rise/run which would get 3/1 which is 3

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:

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: 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:

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:

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