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lisov135 [29]
3 years ago
9

Yelena assets that expressions for the exponential functions g(x) = 7 (1.5) ^4x. and h(x) = 7(5.0625) ^ x are equivalent. Show a

nd explain why she is, or is not, correct.
Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

Yelena is correct.

Step-by-step explanation:

Yelena asserts that the two functions:

g(x)=7(1.5)^{4x}\text{ and } h(x)=7(5.0625)^x

Are equivalent.

She is indeed correct. Recall the power of a power property for exponents:

(x^a)^b=x^{ab}

Therefore, we can rewrite function <em>g</em> as:

g(x)=7((1.5)^4)^x

Evaluate the inner expression:

1.5^4=5.0625

Therefore:

g(x)=7(5.0625)^x=h(x)

Hence, Yelena is correct.

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Svetlanka [38]

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y = x² - 3x - 28

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