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Cerrena [4.2K]
3 years ago
11

Does the table represent an exponential function? Explain.

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0

Answer:

No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.

Step-by-step explanation:

We have a set of ordered pairs of the form (x, y)

If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.

This means that:

\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b

This is: y_2=by_1y2=by1

Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}

Observe that:

\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31

Then the values of y are not multiplied by a constant amount "b"

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Answer:

The vertex of the graph of y = x is shifted to the right 3 units and up 4 units.

The vertex of the graph of y = x?is shifted to the right 4 units and up 3 units.

3 0
3 years ago
Paula Purchaser borrowed $500 at 12 percent for one year. She paid a $25 processing fee. The interest paid will be $ . Thus, the
kiruha [24]
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4 0
3 years ago
A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?
rosijanka [135]

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

  • 90% is equivalent to 0,90.
  • 5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
  • 13.17% is equivalent to 0.1317.
  • 245% is equivalent to 2.45.

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

  • 55.90% of 200 is equal to: 200 \times 0.5590 = 111.8
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In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that 230\times 1.07 = 246.1, therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

4 0
3 years ago
If the exchange rate of 1 dollar is rs 72.45, how many dollar can be exchanged for rs 1449?
Shalnov [3]

Answer:

20

Step-by-step explanation:

1449÷72.45=20

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3 years ago
❗️help me❗️2. Marissa is playing a game using the spinner below.
julia-pushkina [17]
<h3>Answer: Choice C</h3>

Explanation:

In this answer choice, we effectively have two columns. In the first column is simply R and B, with R over B. This represents spinning either red (R) or blue (B).

Depending on the outcome, you branch the same outcomes from that.

So if you spin R, then you'll have R and B branch off that. Same idea applies to blue as well.

Something like choice D doesn't work because we have R show up twice at the very bottom.

5 0
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