Answer:
Step-by-step explanation:
Given
Solving (a): (s + t)(x)
This is calculated as:
Collect like terms
Solving (b): (s - t)(x)
This is calculated as:
Collect like terms
Solving (b): (s . t)(1)
First, we calculate (s.t)(x)
This is calculated as:
So, we have:
Substitute 1 for x
Answer:
1.50x < 12 (the inequality would just be "less than")
Step-by-step explanation:
Answer:
3/32
Step-by-step explanation:
One approach to doing this probelm is to evaluate all three functions F, G and H at x = 2:
F(2) = 2(2) - 1 = 3
G(2) = 3(2) + 2 = 8
H(2) = (2)^2 = 4
3/8
Then (F/G)(2) = (3/8), and (F/G/H) = -------- = 3/32
4
Answer:
V = πr²h
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
where V is the volume, r is the radius, and h is the height of the cylinder.
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<em>Comment on the formula</em>
This is a specific version of the formula for any sort of "prism" with parallel bases and a uniform cross section (parallel to the bases). The volume of such a figure is computed as ...
V = Bh
where B is the area of the base and h is the perpendicular distance between the parallel bases. Here, the base is a circle, so has area formula ...
B = πr²
Filling this into the volume formula gives ...
V = πr²h . . . . . as above
