The function f(x) = 9.75x + 62 models the amountof money that hector earned working x hours in aweek. the function g(x) = 7.5x + 84 models theamount of money that cart earned working xhours in the same week which function, h(x).models the difference in hector's and cari'searnings? a. h(x) = 17.25x - 22b. h(x) = 17.25x + 146c. h(x) = 2.25x - 22d. h(x) = 2.25x + 146

The answer is:

The third option,

c)

We are given the functions E(x) and K(x), since they both are function of the same variable, we need to calculate the difference between them.

From the statement we know the functions:

and

So, calculating the difference the functions we have:

Hence, the answer is the third option,

c)

Have a nice day!

Option C

Step-by-step explanation:

To find the function h(x) that models the difference between Hector's and Cari's gains, subtract the functions f(x) with g(x)

That is to say:

We know that

Then we can find the function h(x)

2

step-by-step explanation:

vvvvv

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3