For #7 - part a: greatest common factor (GCF) is 5.
Part b: cross out everything BUT 10 & 20.
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:
<h3>(x - 0.15x) and x(1.00 - 0.15)</h3>
Step-by-step explanation:
Let x be the original price of a lawn mower,
If the hardware store is having a 15% off sale on lawn mowers this weekend, the amount discounted is expressed as;
= 15 % of x
= 0.15 of x
= 0.15x
Final sales price = Original price - discounted price;
Final sales price = x - 0.15x
Factor out x;
x - 0.15x = x(1 - 0.15)
Hence the correct equations are (x - 0.15x) and x(1.00 - 0.15)
Answer: a) Unimodal and symmetric
b) 0.26
c) 0.038
Step-by-step explanation:
Given: Sample size of investors (n)= 131
True proportion of smartphone users(p) =26%
a) Since sampling distribution for the sample proportion is approximately normal when n is larger.
Normal distribution is Unimodal and symmetric.
So correct option : Unimodal and symmetric
b) mean of this sampling distribution = p = 0.26
c) standard deviation of the samplingdistribution = 

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