<span>let 2x be the length of rectangw where x is value of x of point on parabola width is represented as y is the length.
Area = 2x*y = 2x (5-x^2) = 10x -2x^3
maximize Area by finding x value where derivative is zero
dA/dx = 10 -6x^2 = 0
--> x = sqrt(5/3)
optimal dimensions: length = 2sqrt(5/3) width = 10/3</span>
Multiply, and add i don’t know the other one
Any graph f(x) can be changed to f(x-3) by changing any x to x-3.
For example: Let f(x) = x^{2} + 2x + 4
Find f(x-3) by replacing all x's with x-3.
f(x-3) = (x - 3)^{2} + 2(x - 3) + 4
Then we can simplify and we will have f(x-3).
Answer:
Step-by-step explanation:
Isolate x on one side of the equation.
2(-2x-4) ← (Expand by using with distributive property.)
<u><em>DISTRIBUTIVE PROPERTY</em></u>
⇒ A(B+C)=AB+AC
⇒ A(B-C)=AB-AC
A=2
B=(-2x)
C=4
2(-2x)-2*4
-2*2x-2*4
-2*2x-2*4 (Solve.)
-2*2-2*4=-4x-8
Rewrite the equation problem.
10-x=-4x-8
10-x-10=-4x-8-10 (Subtract 10 from both sides.)
Solve.
-x=-4x-18
-x+4x=-4x-18+4x (Then, add 4x from both sides.)
3x=-18 (Solve.)
3x/3=-18/3 (Divide by 3 from both sides.)
-18/3 (Solve & Simplify.)
-18/3=-6
X=-6
Therefore, the correct answer is x=-6.
Answer:
7/2
Step-by-step explanation:
1/8 + 1/4, you must change the denominator so that they are the same.
So that would mean 1/8+ 1/8, but since the denominator for the second one was 1/4 we must multiply the top by 2. So it becomes 1/8+2/8. You then change the denominator for the rest of them like this and it becomes 1/8+2/8+3/8+4/8+6/8+7/8 which simplified equals 7/2.