F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
Answer:
23 pets
Step-by-step explanation:
If Susy has 14 dogs and 9 cats she has 23 pets in all.
14 dogs
9 cats
14 dogs + 9 cats = 23 pets
Therefore, Susy has 23 pets.
Answer:
14 red marbles.
Step-by-step explanation:
If I am reading this correctly, since the probablitly of choosing a blue marble is 7/9, then 7/9 of the bag must be blue marbles. That amounts to 7/9*63=49 and the bag containing 49 blue marbles. Therefor, 63-49=14 is the number of red marbles in the mag.
When there are no special grouping symbols, math problems are solved from left to right. Although there are other important rules about the order in which you do the operations (addition/subtraction/multiplication/division) in a math expression or equation, this lesson will focus on grouping symbols. The rest of the order of operations rules will be explained in the Determining Order of Operations lesson. To help prevent confusion as you learn how to use the grouping symbols, this lesson will only use addition and subtraction.
9514 1404 393
Answer:
D B E C A
Step-by-step explanation:
The volume of a rectangular prism (cuboid) can be figured from its dimensions, or from the base area and height:
V = LWH . . . . . volume is the product of length, width, height
V = Bh . . . . . . . volume is the product of base area and height
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Hopefully, you recognize that these are basically the same formula, since the base area is the product of length and width.
For the given figures, the volumes are ...
A = (1/2 m)(1/4 m)(1/4 m) = 1/32m³
B = (32 m²)(7.25 m) = 232 m³
C = (1/2 m)(1/2 m)(1/4 m) = 1/16 m³
D = (3 1/2 m)(8 1/2 m)(9 3/4 m) = 290 1/16 m³
E = (26 1/3 m²)(5 m) = 131 2/3 m³
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The volumes from greatest to least are ...
D B E C A
