3 years ago

Solve the problem below.

Mathematics

1 answer:

maxonik [38]3 years ago

6 0

Answer:

Please post one by one answer

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Solve the equation using the Zero-Product Property (X-9)(x+7)=0

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Over [174]

Answer:

y = $8(-\frac{1}{2})^x$

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points $(4, \frac{1}{2})$ and (3, -1)

For the point $(4, \frac{1}{2})$ ,

$\frac{1}{2}=a(b)^4$ ---------(1)

For second point (3, -1),

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Divide equation (2) by equation (1),

$\frac{\frac{1}{2}}{-1}$ = $\frac{a(b)^4}{a(b)^3}$

$-\frac{1}{2}=b^{(4-3)}$

$-\frac{1}{2}=b$

From equation (2)

-1 = $a(-\frac{1}{2})^3$

-1 = $-\frac{1}{8}a$

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Therefore, equation of the exponential function will be,

y = $8(-\frac{1}{2})^x$

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Answer:

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Step-by-step explanation:

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