Answer:
Answers are in bold type
Step-by-step explanation:
f(x) = 
The parabola opens up, so has a minimum at the vertex.
Let (h, k) be the vertex
h = -b/2a = - (-144)/2(1) = 57
k = 57^2 - 144(57) = 3249 - 6498 = -3249
Therefore, the vertex is (57, -3249)
The minimum value is -3249
The domain is the set of real numbers.
The range = {y | y ≥ -3249}
The function decreases when -∞ < x < 57 and increases when 57 > x > ∞
The x - intercepts: = 0
x(x - 114x) = 0
x = 0 or x = 114
x-intercepts are (0, 0) and (0, 114)
When x = 0, then we get the y-intercept. So, 0^2 - 114(0) = 0
y-intercept is (0, 0)
1.f
2.c
3.b
4.e
5.a
6.d
in order
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
To learn more about prism, visit :
brainly.com/question/12649592
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Answer:
60 gallons
Step-by-step explanation:
so he enlarged it by three so it would be 24by30
because of that, you have to multiply 20g by 3 also
that gives you 60 gallons
Answer:
if a·b=0, then either a=0 or b=0, or both
Step-by-step explanation:
just answered it on apex :)
