The question is incomplete. Here is the complete question.
Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -
x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.
Answer: L = 1; W = 9/4; A = 2.25;
Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:
A = x.y
A = x(-
)
A = -
To maximize, we have to differentiate the equation:
= 
(-)
= -3x + 3
The critical point is:
= 0
-3x + 3 = 0
x = 1
Substituing:
y = -x + 3
y = -.1 + 3
y = 9/4
So, the measurements are x = L = 1 and y = W = 9/4
The maximum area is:
A = 1 . 9/4
A = 9/4
A = 2.25
I can’t see it it too blurry
Answer:
She can put a maximum of 10 boxes in the cart.
Step-by-step explanation:
Given that each cart that Debbie uses to move the boxes supports a maximum of 200 pounds, and that each box that she places in the cart weighs 20 pounds, to determine the maximum number of boxes that can fit in the cart, the following calculation must be performed :
200/20 = X
20/2 = X
10 = X
Thus, she can put a maximum of 10 boxes in the cart.
Answer:
all work is shown and pictured
Answer:
175
Step-by-step explanation:
500 times 35/100
simplify
