Answer:
D: 0 and 1
Step-by-step explanation:
Function is defined by;
f(x) = 3x^(5) - 5x⁴
Now, an inflection point will be a point on the graph where the inflection or concavity changes.
Thus, let's find the derivatives until we get there;
f'(x) = 15x⁴ - 20x³
f''(x) = 60x³ - 60x²
So factorizing gives;
f''(x) = 60x²(x - 1)
At f''(x) = 0, we have; x = 0 or x = 1
Thus, the x coordinates of points of inflection are 0 & 1
Since this is a right triangle, we can use Pythagorean theorem. Pythagorean theorem is a^2 + b^2 = c^2
a = one leg of the triangle
b = the second leg of the triangle
c = the hypotenuse of the triangle
in this problem,
a = 8 in
b = 6 in
c = ?
We need to plug our numbers into the pythagorean theorem and solve for c
8^2 + 6^2 = c^2.
Square each term on the left side.
64 + 36 = c^2
Add the terms together on the left side.
100 = c^2.
Take the square root of each side
10 = c
The missing side is 10 inches
If you multiple the net by 2, you will get 2720, and dividing it from 940, you will get 35%. B is the correct answer. :)
Answer:
The length is 56 and the width is 54.
Step-by-step explanation:
The perimeter of a rectangle is 2x+2y (width and length on both sides). so 2x+2y=220. Also x=y-2, because the width is 2 feet less than the length. Fill x=y-2 in 2x+2y=220 and we get 2(y-2)+2y=220. 2y-4+2y=220. 4y=216. y=54. Fill in y=54 in 2x+2y=220 and we get 2x+2(54)=220. 2x=220-2(54)=112. x=56.
Answer: 12 for the main square
Step-by-step explanation:
take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.