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posledela
3 years ago
7

Does each equation represent exponential decay or exponential growth?

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0
<span>A graph will be growing if its exponent is >1. If the exponent is <1 then it would decay. The graph will show a equation of f(x)= i *(r)^t

H=5.9 (0.82)^t           ---->0.82 = </span>exponential <span>decay
y=0.8 (3.6)^t</span>           ---->3.6 = <span>exponential growth
</span>f(t)=0.72 (15)^t           ---->15 = exponential growth <span>
A=4/9 (8)^t</span>           ---->8 = exponential growth <span>
A= (4/3)^t</span>           ---->4/3 = exponential growth  <span>
H= 7/2 (5/6)^t</span>           ----> 5/6= exponential decay<span>
g(x)= 0.3(x)</span>           ----> no exponent?
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Ganezh [65]

Answer:

The values of a and b are 33 and \frac{20\sqrt{3}}{3}, respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

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By definition of the perfect square trinomial:

25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}

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By (3), we solve for b:

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