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aliina [53]
2 years ago
12

The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value o

f b?
Mathematics
1 answer:
Yuki888 [10]2 years ago
6 0

If the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

y=ab^x

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function y=ab^x

25=ab^3............................(1)

Substitute x = 8 and y = 10 into the function y=ab^x

10=ab^8.............................(2)

Divide equation (2) by equation (1)

\frac{10}{25}=\frac{ab^8}{ab^3}  \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833

Therefore, if the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

Learn more on exponential functions here: brainly.com/question/12940982

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Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

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Complete the multiplication and the equation becomes

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Convert to a mixed number using

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The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

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Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

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The two fractions now have like denominators so you can add the numerators.

Then:

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This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using

GCF(21,30) = 3

\frac{21/3}{30/3} =\frac{7}{10}

Therefore:

\frac{41}{30} + \frac{-2}{3} =\frac{7}{10}|

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