Mathematics: How do you find an exponential function given the points are (0,13) and (2,325)

Step-by-step explanation:GivenRequiredSolve for xAdd to both sidesTake LCMMultiply both sides by Evaluate the left hand sideDivide 28 by 4...

How do you find an exponential function given the

Ответ:

natalyarenassalgado

25.01.2022

Mathematics

y = 13 $(5)^{x}$

Step-by-step explanation:

An exponential function has the form

y = a $b^{x}$

To find a and b use the given points

Using (0, 13), then

13 = a $b^{0}$ , since $b^{0}$ = 1, then

a = 13, thus

y = 13 $b^{x}$

using (2, 325) , then

325 = 13 b² ( divide both sides by 13 )

25 = b² ( take the square root of both sides )

5 = b

y = 13 × $5^{x}$ ← is the exponential function

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Ответ:

shayshay4352

10.03.2020

Mathematics

x = 7

Step-by-step explanation:

Given

$\frac{4}{3}x - \frac{1}{3} = 9$

Required

Solve for x

$\frac{4}{3}x - \frac{1}{3} = 9$

Add $\frac{1}{3}$ to both sides

$\frac{4}{3}x - \frac{1}{3} + \frac{1}{3} = 9 + \frac{1}{3}$

$\frac{4}{3}x = 9 + \frac{1}{3}$

Take LCM

$\frac{4}{3}x = \frac{27 + 1}{3}$

$\frac{4}{3}x = \frac{28}{3}$

Multiply both sides by $\frac{3}{4}$

$\frac{3}{4} * \frac{4}{3}x = \frac{3}{4} *\frac{28}{3}$

Evaluate the left hand side

$x = \frac{3}{4} *\frac{28}{3}$

$x = \frac{28}{4}$

Divide 28 by 4

x = 7

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How do you find an exponential function given the points are (0,13) and (2,325)

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