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Rudiy27
3 years ago
15

How to find the rate in a power function

Mathematics
1 answer:
madreJ [45]3 years ago
5 0

The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. a is the initial or starting value of the function, r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

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Answer:

\frac{x^3-a^3}{0}

Step-by-step explanation:

\frac{x^4-a^4}{x-a}

divide by x-a

\frac{x^3-a^3}{0}

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Set up and evaluate the optimization problems. (Enter your answers as comma-separated lists.) Find two positive integers such th
alexira [117]

Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

 = x2+ (14 – x)2

Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

        2x + 2(14-x)(-1) = 0

        2x +( 28 – 2x)(-1) = 0

     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

       X = 7

Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

6 0
2 years ago
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