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
13 cm also make sure i get my brainliest >:(
Answer:
3/4 (A)
Step-by-step explanation:
replace x with -2 in the function
3 · 2^-2 = 3 · 0.25
3 · 0.25 = 0.75
0.75 = 3/4
Yes mate,
Hope you have a wonderful day
We could use Algebra for this question but it’s quite simile so won’t need it. If Amanda is 25, when we add on 5 years she’ll be 30. Now it says when she’s 30, she will be twice as old as Simone. Implying that Simone will be half of Amanda’s age. In this case 30/2 = 15. So Simone must be 15.