B is the answer hope this helps
I think it's the first one.
An equation for the volume of the prism as a function of the height is Volume = h³ + 2h² - 15h.
- We are given a rectangular prism.
- A rectangular prism is no different than a cuboid.
- Let the height of the rectangular prism be "h".
- The length of the rectangular prism is "h-3".
- The width of the rectangular prism is "h+5".
- The volume of the rectangular prism is the same as that of the cuboid.
- The volume of the rectangular prism is the product of its length, its width, and its height.
- The volume of the rectangular prism is (h - 3)*(h + 5)*h.
- An equation for the volume of the prism as a function of the height is :
- Volume = (h - 3)*(h + 5)*h
- Volume = (h² + 2h - 15)*h
- Volume = h³ + 2h² - 15h
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The extreme of the quadratic ax² +bx +c is found at x = -b/(2a). Your function has
a = 16
b = 20
so it will have an extreme value at t = -20/(2*16) = -20/32 = -5/8.
We assume you intend h(t) = -16t² +20t +2 (with a leading minus sign), in which case the extreme value (maximum height) occurs at t = 5/8. The maximum height is
h(5/8) = (-16*5/8 +20)(5/8) +2 = 50/8 +2 = 33/4 = 8.25
The ball reaches its maximum height after 5/8 = 0.625 seconds.
The ball's maximum height is 8 1/4 = 8.25 feet.
I'm assuming that you are given the equation f(x) = 2x^2 + 3 and the value f(-3).
To find this, all you need to do is plug in the value of -3 in f(x) for all x values. It would look like:
All you need to do is simplify:
Your final answer is f(x) = 21.