A would be 1 as b would be -4
(3/5) [(1/12Y)(2/3Z)]
= .05Y + .40Z
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts let y = 0, that is
(x - 4)(x + 2) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts are x = - 2 and x = 4
The vertex lies on the axis of symmetry which is located at the midpoint of the x- intercepts, thus
= = 1
Substitute x = 1 into the equation for corresponding value of y
y = (1 - 4)(1 + 2) = - 3 × 3 = - 9
vertex = (1, - 9)
Easily done! Just do -56 divided by -7 but just remember two negatives equal a positive. So your answer would be 8!