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3 years ago

I need help ASAP! If someone could maybe screenshot this and draw the correct answers that would be amazing

Mathematics

1 answer:

iren [92.7K]3 years ago

6 0

Answer:

Explain what the slope represents.

The slope goes up, meaning that Alani is collecting more coins over the years.

Explain what the y-intercept represents in this context.

The y-intercept is the years that go by.

Describe the association and correlation.

The x-intercept goes up when the y-intercept goes up. This is because as the years go by (y-intercept) Alani collects more coins (x-intercept).

The ones that I didn't answer are the ones that I'm not sure. I hope this helps you some!

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Which of the following is not a valid probability?

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If cos⁡ x=−45, and 180° < x < 270°, what is tan⁡(2x)?

iVinArrow [24]

$Tan2x =\frac{-24}{7}$

<u>Step-by-step explanation:</u>

Here we have , cos x = -4/5 ( corrected as given -45 which is not possible ) ,

180° < x < 270° i.e. in third quadrant . We need to find tan⁡(2x) . Let's find out:

⇒ $Tan\alpha = \frac{sin\alpha }{cos\alpha }$

⇒ $Tan\alpha = \frac{\sqrt{1-(cos\alpha)^2} }{cos\alpha }$

⇒ $Tan\alpha = \frac{\sqrt{1-(\frac{-4}{5})^2} }{\frac{-4}{5} }$

⇒ $Tan\alpha = \frac{-5}{4}\sqrt{1-(\frac{16}{25}) }$

⇒ $Tan\alpha = \frac{-5}{4}\sqrt{(\frac{25-16}{25}) }$

⇒ $Tan\alpha = \frac{-5}{4}(\frac{3}{5}) }$

⇒ $Tan\alpha = \frac{-3}{4}$ , since in third quadrant . $Tan\alpha = \frac{-3}{4}$ remains same .

Now , $Tan2x = \frac{2tanx}{1-(tanx)^{2}}}$

⇒ $Tan2x = \frac{2tanx}{1-(tanx)^{2}}}$

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Therefore, $Tan2x =\frac{-24}{7}$ .

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4 years ago

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form

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Answer:

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Step-by-step explanation:

(2 • 6)^(3/2) =

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= √(12³)

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