Answer:
C. g(x) = 3·2^x +2
Step-by-step explanation:
The graph of g(x) appears to be a translation upward of the graph of f(x).
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To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)
g(x) = f(x) +5
g(x) = (3·2^x -3) +5
g(x) = 3·2^x +2
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You can also determine the correct choice by looking at the value at x=0:
A. g(0) = 3 +6 = 9
B. g(0) = 1 +3 = 4
C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph
D. g(0) = 3
It's 6!
When you multiply both the numerator and denominator by the same number, you will have an equivalent to the fraction you started with because the new fraction can be reduced to the original fraction.
2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/15 etc.
Answer:
427
Step-by-step explanation:
The ration of boy campers to total campers is 8:15, and the ratio of girl campers to total campers is 7:15. Using this information, we can answer this question by setting up proportions.
<u>For boys:</u>
<em>*Cross multiply*</em>
15x=1560
<em>*Divide both sides by 15*</em>
x=104
There are 169 boy campers.
<u>For girls:</u>
<em>*Cross multiply*</em>
15x=1365
91=x
There are 91 girl campers.
Hope this helps!!
Answer:
g(x) = -|x|
Step-by-step explanation:
Are you familiar with the absolute value function y = |x|?
Its graph is v-shaped and opens up.
If the graph is turned upside down (so that it opens down), then g(x) = -|x|.
