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Katena32 [7]
2 years ago
8

=

Mathematics
1 answer:
Arada [10]2 years ago
8 0

The exponential function f(x) can represent growth or decay

The value of f(14) is 226.07

<h3>How to determine the value of f(14)?</h3>

The given parameters are:

f(-2) = 25 and f(7) = 85

An exponential function is represented as:

f(x) = ab^x

So, we have:

ab^-2 = 25

Also, we have:

ab^7 = 85

Divide both equations.

This gives

b^9 = 3.4

Take the 9th root of both sides

b = 1.15

Recall that:

ab^7 = 85

This gives

a* 1.15^7 = 85

Solve for a

a = 31.95

So, the exponential function is:

f(x) = 31.95 * 1.15^x

Substitute 14 for x

f(14) = 31.95 * 1.15^14

f(14) = 226.07

Hence, the value of f(14) is 226.07

Read more about exponential functions at:

brainly.com/question/11464095

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labwork [276]

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original
Hitman42 [59]

<u>Answer:</u>

The denominator of a fraction is 4 more than the numerator. The original fraction is \frac{27}{31}

<u>Solution:</u>

Given that  

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is \frac{6}{7}

=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}

Solving above equation for x

=> 7(x – 3  ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}

= \frac{27}{31}

Hence the original fraction is \frac{27}{31}

7 0
3 years ago
Your job pays $8 an hour. Write a variable expression for your pay in dollars for working h hours.
Assoli18 [71]
If the pay is $8 per hour, that means if you work "h" hours, then y,the total pay will be :
y = 8.(h)
7 0
3 years ago
I need help. due today
just olya [345]
X = 19.

Explanation:

This expression is vertical from the angle 135, meaning it is congruent. With that being said, we would need to find what 7 multiplies by to give us 2 less than 135, which would be 133. Because 133 divided by 7 equals 19, x = 19. If we plug this in, we get the following equation: 7(19) + 2 = 135.
6 0
2 years ago
Read 2 more answers
Identify the transformation of the geometric figure performed in the graph.
noname [10]
The answer to this problem is A
4 0
3 years ago
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