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3 years ago

Which set of ordered pairs could be generated by an exponential function?

Mathematics

2 answers:

devlian [24]3 years ago

7 0

ANSWER

(0, 1), (1, 3), (2, 9), (3, 27)

EXPLANATION

The first and third options are completely out because the y-value of an exponential function is never zero.

For the second option the y-values has no geometric pattern or common ratio.

For the last option, we can observe the following pattern

$1 = {3}^{0}$

${3}^{1} = 3$

${3}^{2} = 9$

${3}^{3} = 27$

${3}^{x} = y$

The correct choice is the last option

iogann1982 [59]3 years ago

5 0

Answer:

Step-by-step explanation:

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The graph of the parent function y = x cubed is horizontally stretched by a factor of One-fifth and reflected over the y-axis. W

sasho [114]

Answer: OPTION D.

Step-by-step explanation:

Below are some transformations for a function f(x):

If $-f(x)$ , then the function is reflected over the x-axis.

If $f(-x)$ , then the function is reflected over the y-axis.

If $f(bx)$ and $b>1$ , then the function is horizontally compressed.

If $f(bx)$ and $0 < b$ , then the function is horizontally stretched.

In this case you know that the parent function is:

$y=x^3$

According to the information given in the exercise, the parent function IS horizontally stretched by a factor of $\frac{1}{5}$ and it is also reflected over the y-axis.

Therefore, based on the transformations explained before, you can notice that the transformation is:

$f(-bx)$

Where $0 < b$

Therefore, the equation of the transformed function is:

$y=(-\frac{1}{5}x)^ 3$

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Step-by-step explanation:

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Troyanec [42]

Answer:

x equals 3.6.

Step-by-step explanation:

A way to solve this equation is to preform the inverse operations on both sides.

1. Add 19 to -19 and 5: 5x + 6 - 19 + 19 = 5 + 19 ---> 5x + 6 = 24

2. Subtract 6 from 6 and 5: 5x + 6 - 6 = 24 - 6 ---> 5x = 18

3. Divide 5x and 18 by 5: 5x / 5 = 18 / 5 ---> x = 3.6

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To prove it, substitute x with 3.6 in the equation: 5 · 3.6 + 6 - 19 = 5

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3 years ago

At jim's juice factory, his machine can fill 300 juice boxes an hour. Each box holds 0.8 cups How many gallons of juice does jim

anygoal [31]

300 boxes
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