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alexdok [17]
1 year ago
6

Which coordinate could represent the amount of granola when selling at a unit rate of R pounds per dollar?

Mathematics
1 answer:
Nataly [62]1 year ago
3 0
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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
After *triangle* ACE is dilated by a factor of 5, It has an area of 100 square inches. What was its area before dilation?
Anarel [89]
<h3>Answer:  4 square inches</h3>

Explanation:

Square the linear scale factor to get 5^2 = 25

This means that,

new area = 25*(old area)

We take this idea in reverse to find the old area

old area = (new area)/25

old area = (100 sq inches)/25

old area = 4 square inches

6 0
2 years ago
Eva makes a few dozen cupcakes and sells them for $8 a dozen. Which function represents the relationship between the money Eva e
Romashka [77]
We let c represent the number of dozen cupcakes in which the problem says that the cost of each cupcake is $8 per dozen. In this case, the money earned by Eva should be a function of the number of dozen cupcakes. In this case, the expression that represents this is  A. f(c) = c × 8
4 0
3 years ago
Original price:$30; markdown:33%
Travka [436]
30 x 0.33 = 9.90 And that's the answer
3 0
3 years ago
Solve the inequality 2x - 3 &lt; x + 2 &lt; 3x + 5 show all work. <br> Someone pls help me
andreev551 [17]

Answer:

-3/2 < x < 5......................

7 0
3 years ago
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