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Shtirlitz [24]
2 years ago
6

How is multiplication of two integers represented on a number line and a chip board?

Mathematics
1 answer:
labwork [276]2 years ago
8 0
Can you give me an example? Thank you

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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
14 plus 5(x plus 3) minus 7
Damm [24]
14+5(x+3)-7
14+(5x+15)-7
7+5x+15
5x+22
7 0
3 years ago
A circle has what type of symmetry? point point and line point, line and plane line
sleet_krkn [62]
A circle in a plane is symmetrical around a single point in the plane.
4 0
3 years ago
Read 2 more answers
When x = 5, the value of the expression 20/-25+x–2(x – 10) is –21 –9 9 19
aleksley [76]

Answer:

b

Step-by-step explanation:

b

6 0
3 years ago
Read 2 more answers
Rachel says she is 5 feet tall. Her friend measured her height as 60 inches.Determine if these two measurements are equal
zhenek [66]
They are. There are 12 inches in a foot. 5x12 does equal 60 so they are equal.
5 0
2 years ago
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