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vladimir2022 [97]
3 years ago
14

Write two sentences to compare 743.476 and 743.746

Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0
743.476 < 743.746
743.746 > 743.476 
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A shop owner offerad a 20% discount off the regular price of a mirror. The amount of the discount is 3$ what is the regular pric
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$15

Step-by-step explanation:

$3 correspond is the 20% discount of the total price.

If the total price is x then you can express the discount as:

0.20x = 3

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x = 15

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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) =.
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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

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