6 + 3y = 4y +2
3y - 4y = 2 - 6
-y = -4
y = 4
hope that helps :)
Answer:
Step-by-step explanation:
Essentially, begin by flipping the x and y terms:
x = (1 - 2y)^2 + 5
Then, solve for y:

Because we know there is only 1 y-value for any given x-value, the inverse of the given function is also a function.
12=5x-13x-44
combine like terms
12 = -8x -44
add 44 to each side
12+44 = -8x
56= -8x
divide by -8 on each side
56/-8 = x
-7 =x
Answer:
The hourly fee for rototiller is $3 per hour.
Step-by-step explanation:
We are given the following in the equation:
The rental company charged an initial fee of $43 with an additional fee per hour.
Let h represents the hourly fee.
The family paid $64 after renting the rototiller for 7 hours.
Thus, we can write the equation:

Solving the equation, we get,

Thus, the hourly fee is $3 per hour.
Equation:

where C(x) is the cost function and x is the number of hours rototiller is rented.
The hourly fee for rototiller is $3 per hour.
Answer:
Step-by-step explanation:
Formula for calculating the surface area of the box S = 2(LW+LH+WH) where
L is the length of the box
W is the width of the box
H is the height of the box
If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;
S = 2(4(4)+4H + 4H)
S = 2(16+8H)
S = 32+16H
<em>Hence, The function that represents the surface area of this box as a
</em>
<em>function of its height is S = 32+16H where H is the height of the box</em>
<em></em>
Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;
S = 32+16H
S = 32+16(6.5)
S = 32+106
<em>S = 138in²</em>
<em>Hence the total surface area of the box is 138in²</em>