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:
11x
Step-by-step explanation:
Forget about the x until the end and add the numbers together.
Answer:
The parent function is y = x³.
After a vertical stretch by a factor of 3, obtain
y = 3x³
After a horizontal shift 4 unit to the right, obtain
y = 3(x - 4)³
After a vertical shift 3 units down, obtain
y = 3(x - 4)³ - 3
Answer: y = 3(x - 4)³ - 3
Answer:
1.25 inches
Step-by-step explanation:
200 miles/ 50 miles = 5 inch / x
x = (50 x 5) / 200 = 250 / 200 = 1.25