Reduce 18/45 to the simplest form.
2 answers:
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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
No, it's not possible for the sides of a triangle to have those lengths.
According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.
This inequality satisfies the triangle inequality theorem.
This also satisfies the theorem.
Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.
According to the triangle inequality theorem, the sum of any two sides of the triangle has to be bigger than the last side. Let's test this.
This inequality satisfies the triangle inequality theorem.
This also satisfies the theorem.
Uh oh. This does not satisfy the triangle inequality theorem. Thus, it is not possible for a triangle to have these side lengths.