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3 years ago

Complete the statement.

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

Coz they all look the same on the sides

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The graph of g(x) is a transformation of the graph of f(x)=3x. Enter the equation for g(x) in the box. G(x) =.

dalvyx [7]

Function transformation involves changing the form of a function

The function g(x) is $\mathbf{g(x) = 8(2)^x}$

The function is given as:

$\mathbf{f(x) = 3^x}$

g(x) is an exponential function that passes through points (-2,2) and (-1,4).

An exponential function is represented as:

$\mathbf{y = ab^x}$

At point (-2,2), we have:

$\mathbf{2 = ab^{-2}}$

At point (-1,4), we have:

$\mathbf{4 = ab^{-1}}$

Divide both equations

$\mathbf{\frac 42=\frac{ab^{-1}}{ab^{-2}}}$

Simplify

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

Apply law of indices

$\mathbf{2=b^{-1+2}}$

$\mathbf{2=b}$

Rewrite as:

$\mathbf{b =2}$

Substitute 2 for b in $\mathbf{2 = ab^{-2}}$

$\mathbf{2 =a(2^{-2})}$

This gives

$\mathbf{2 =a(\frac 14)}$

Multiply both sides by 4

$\mathbf{a = 8}$

Substitute 8 for (a) and 2 for (b) in $\mathbf{y = ab^x}$

$\mathbf{y = 8(2)^x}$

Express as a function

$\mathbf{g(x) = 8(2)^x}$

Hence, the function g(x) is $\mathbf{g(x) = 8(2)^x}$

Read more about exponential functions at:

brainly.com/question/11487261

8 0

2 years ago

The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell

vekshin1

Answer:

1/2 percent

Step-by-step explanation:

If you look at the box, the middle number is 12 or since its the middle "1/2"

so the fraction would be 1/2, hope this helped.

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3 years ago

Emily studied people in her school and determined that 75 out of 100 people in her grade could roll their tongues. If there are

ludmilkaskok [199]

Answer:

I believe the answer is 900.

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2 years ago

15 people shared 65 1/2 acres of land. How much did each get?

beks73 [17]

You need to divide 65 1/2 by 15.

$65 \dfrac{1}{2} \div 15 =$

$= \dfrac{131}{2} \div \dfrac{15}{1}$

$= \dfrac{131}{2} \times \dfrac{1}{15}$

$= \dfrac{131 \times 1}{2 \times 15}$

$= \dfrac{131}{30}$

$= 4 \dfrac{11}{30}$

Each one got $4 \dfrac{11}{30}$ acres.

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3 years ago

Read 2 more answers

Find a26 of the sequence-2,-8,-14,-20

ddd [48]

The numbers decrease by 6.

-1, -8, -14, -20, -26, -32, -38, -44, -50, -56, -62, -68, -74, -80, -86, -92, -98, -104, -110, -116, -122, -128, -134, -140, -146

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3 years ago