Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after driving x miles. The amount of gas in the van’s gas tank after driving x miles is represented by the equation y=- 1/5x + 31. Which vehicle uses less gasoline per mile? How many miles must the vehicles travel for the amount of gas in each tank to be the same?

The car uses less gas

They use the same amount of gas after miles

Step-by-step explanation:

Given

The table represents the car mileage

--- The van

First, calculate the car's slope (m)

From the table, we have:

So, we have:

Calculate the equation using:

implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

--- The van

By comparison to:

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

--- The van

--- The car

Equate both

Collect like terms

Take LCM

Solve for -7x

Solve for x

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

it would take 5 hours i think idk i'm not that good at math.can you me with my questions i need asap.