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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Use elimination
Multiply first equation by 4
12a - 8b = 56
12a + 9b = 39
Subtract both
-17b = 17
b = -1
Plug in -1 for b
3a - 2(-1) = 14
3a = 12, a = 4
Final answer: a = 4, b = -1
Answer:
3(x + 4) = 3(x) + 3(4)
3(x + 4) = 3x + 12
3x + 12 = 3x + 12
Subtract 12 from both sides
3x + 12 - 12 = 3x + 12 - 12
3x = 3x
3x - 3x = 3x - 3x
= 0
6-2+4-8
= 4+4-8
= 8-8
= 0
Answer:
0.00001
Step-by-step explanation: