1. Find the equation of the line AB. For reference, the answer is y=(-2/3)x+2.
2. Derive a formula for the area of the shaded rectange. It is A=xy (where x is the length and y is the height).
3. Replace "y" in A=xy with the formula for y: y= (-2/3)x+2:
A=x[(-2/3)x+2] This is a formula for Area A in terms of x only.
4. Since we want to maximize the shaded area, we take the derivative with respect to x of A=x[(-2/3)x+2] , or, equivalently, A=(-2/3)x^2 + 2x.
This results in (dA/dx) = (-4/3)x + 2.
5. Set this result = to 0 and solve for the critical value:
(dA/dx) = (-4/3)x + 2=0, or (4/3)x=2 This results in x=(3/4)(2)=3/2
6. Verify that this critical value x=3/2 does indeed maximize the area function.
7. Determine the area of the shaded rectangle for x=3/2, using the previously-derived formula A=(-2/3)x^2 + 2x.
The result is the max. area of the shaded rectangle.
Answer:= 261.905% increase
Solution:
Calculate percentage change
from V1 = 21 to V2 = 76
(V2−V1)|V1|×100
(V2−V1)|V1|×100
=(76−21)|21|×100
=(76−21)|21|×100
=5521×100
=5521×100
=2.61905×100
=2.61905×100
=261.905%change
=261.905%change
=261.905%increase
Answer:
398,765 books were sold
Step-by-step explanation:
How to get the answer:
1) Identify the given
32,300 is percentage
8.1 % is rate
base (b) is missing
2) Solve
b= p/r
b= 32,300 / 8.1% or 0.081
b= 398,765
3) Check
398,765 x 8.1% = 32,299.97 or 32,300
Answer:
<h3>200201+1918191=9191919289+</h3>
Step-by-step explanation:
<h3>tnks </h3>
Answer:
17
Step-by-step explanation:
8 + h^2
Let h = 3
8 + 3^2
We find the value of 3^2 first using PEMDAS
8 + 9
Then add
17
The result is 17
