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3 years ago

Write an exponential function whose graph passes through the points (0, -3) and (4, -48)

Mathematics

1 answer:

Yuliya22 [10]3 years ago

8 0

Answer:

$y = -3(2^{x})$

Step-by-step explanation:

y = $kb^{x}$

Use (0, -3) to find k

$-3 = kb^{0} = k(1) = k\\$

So, k = -3

Now use (4, -48) to find b

-48 = $-3b^{4}$

$b^{4}$ = 16

b = 2

Since k = -3 and b = 2, $y = -3(2^{x})$

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_______________________

[For (3) and (4) we need to solve for slope]

(3)
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Formula for slope: $\frac{y2-y1}{x2-x1}$
Plug in values: $\frac{-1-5}{-4-7} = - \frac{6}{11}$
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(4)
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3 years ago

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Is the area of the shaded rectangle 6(2−m) or 6(m−2)?<br>Explain how you know.

Rzqust [24]

Answer:

6(2-m)

Step-by-step explanation:

the m could not be times only two so the answer would have been 12-m no matter what you don't add or subtract or times the letter because unless if the number had the same letter!

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3 years ago

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Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks?

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we know that

Erika earns $\$9$ per hour

By proportion

Find how much she earn during the total hours of two weeks

The total hours of two weeks is equal to

$14+20=34\ hours$

$\frac{9}{1} \frac{\$}{hour} =\frac{x}{34} \frac{\$}{hours} \\ \\x=34*9 \\ \\x=\$306$

therefore

<u>the answer is</u>

$\$306$

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4 years ago

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You are referring to the thousandths spot.

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3 years ago

The science club has five female and five male students. The club will randomly select two people to compete in the upcoming sci

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