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Alinara [238K]
3 years ago
7

Which statement correctly describes the end behavior of y = −3x5 + 5x2 +2x + 1

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
What is all the answers cause i got -98
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408

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Find the equation of the line through the point (–2, –2) that is perpendicular to the line y = 2x – 1.
lawyer [7]

Hi student, let me help you out!

.....................................................................................................

---------------------------------------------

<h3>Part 1.</h3>

Perpendicular lines have slopes that are <u>opposite inverses </u>of each other.

The opposite inverse of 2 is \mathrm{-\cfrac{1}{2}}.

Now let's stick in this number into the equation \mathrm{y=mx+b}:

\mathrm{y=-\cfrac{1}{2}x+b}.  Let's carry out several operations to determine the y intercept.

First, let's stick in -2 for x and y (Do you remember that the line passes through (-2,-2)? We're given that piece of information.)

\mathrm{-2=-\cfrac{1}{2}\times(-2)+b}.

You are probably thinking, "Why did you do that and just complicate things?" Wait for it! ^-^

Upon simplifying this, we obtain: \mathrm{-2=1+b}. See, it's nice and smooth now.

One last operation remains. We need to subtract 1 from both sides: \mathrm{-3=b}.

∴, the equation of the line is: \mathrm{\underline{\boxed{y=-\cfrac{1}{2}-3}}}

Hope this helped you out, ask in comments if any queries arise.

Best Regards!

\star\bigstar\underline{\underline{\overline{\overline{\bold{Reach\:Far.\:Aim\:high.\:Dream\:big.}}}}}\bigstar\star

\underline{\rule{300}{3}}

6 0
2 years ago
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