<h3>Answer: 33</h3>
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Work Shown:
8^(x+7) = 32^(x-9)
(8)^(x+7) = (32)^(x-9)
(2^3)^(x+7) = (32)^(x-9) .... replace 8 with 2^3
(2^3)^(x+7) = (2^5)^(x-9) .... replace 32 with 2^5
2^(3(x+7)) = 2^(5(x-9)) ... multiply exponents
3(x+7) = 5(x-9) ...bases are the same, exponents are the same
3x+21 = 5x-45
21+45 = 5x-3x
66 = 2x
2x = 66
x = 66/2
x = 33
Answer:
Increase in percent = 4%
Step-by-step explanation:
Given:
Present population = 130,000
Future population = 135,200
Find:
Increase in percent
Computation:
Increase in population = Future population - Present population
Increase in population = 135,200 - 130,000
Increase in population = 5,200
Increase in percent = [Increase in population / Present population]100
Increase in percent = [5,200/130,000] 100
Increase in percent = 4%
<h3>
Answer: Choice C</h3>
Work Shown:
So that's why the answer is choice C
The requirement that x is nonzero isn't technically necessary. The original expression simplifies to choice C even when x = 0 is the case. Also, we don't have issues such as division by zero errors that could arise. It's a bit curious why your teacher put in that condition.
Answer:
Step-by-step explanation:
4 (10)
5 (13)
6 (16)
7 (19)
