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3 years ago

What is the slope of the line that contains these points. X -4 -3 -2 -1 Y 2 5 8 11

Mathematics

1 answer:

inna [77]3 years ago

7 0

The slope is 3. Hope that helped!

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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

3 years ago

In the following questions, look at different ways to represent the relation given by the equation y = x2 - 1. The table below s

Nady [450]

Answer:

a= 3

b= 0

Step-by-step explanation:

4 0

2 years ago

Find the mode for the scores 3,760, 5,200, 8,750, 4,400, 5,250

Semenov [28]

There is no mode in these scores.

This is because mode is when two numbers show up the same like 4 and 4.

8 0

2 years ago

Simplify 3 x + 6 x 2 - 5 x - x 2 .

Anastasy [175]

Pretty sure it’s 5x^2 - 2x

5 0

3 years ago

Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation

disa [49]

Answer: 1) 500, 000

2) Five hundred thousand

3) $5\times10^5$

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = <u>500, 000</u>

In word -<u> Five hundred thousand</u> [ as place value of 5 = hundred thousand]

In scientific notation, $500, 000=5\times10^5$

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) $5\times10^5$

4 0

4 years ago