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Rainbow [258]
3 years ago
11

What is (f⋅g)(x)? Enter your answer in the box.

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
6 0
(f*g)(x)=(x³-4x+2)(x²+2) = x⁵+2x³-4x³-8x+2x²+4=x⁵-2x³+2x²-8x+4
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Without graphing, tell whether the line containing (4, 2) and (4, 9) is horizontal, vertical, or neither.
telo118 [61]

Answer:

Vertical.

Step-by-step explanation:

It is vertical because 4 + 4 (adding both X-axis, totalling 8) is smaller than 9 + 2 (adding both Y-axis, totalling 11), so the Y-axis, which is vertical, is bigger.

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Find the first four positive values of arccos(0.7). I know how to get the first, but as for the rest, I am lost.
Mandarinka [93]
Now cos⁻¹(0.7) is about 45.6°, that's on the first quadrant.

keep in mind that the inverse cosine function has a range of [0, 180°], so any angles it will spit out, will be on either the I quadrant where cosine is positive or the II quadrant, where cosine is negative.

however, 45.6° has a twin, she's at the IV quadrant, where cosine is also positive, and that'd be 360° - 45.6°, or 314.4°.

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360° + 45.6° is a full circle and 45.6° more, that will give us the other angle, also in the first quadrant, but after a full cycle, at 405.6°.

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An 80 meter rope is suspended at its two ends from the tops of two 50 meter flagpoles. If the lowest point to which the midpoint
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Step-by-step explanation:

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Lady bird [3.3K]

Answer:

\large\boxed{a=4\sqrt3}

Step-by-step explanation:

We have the triangle 30° - 60° - 90°.  In that triangle sides are in proportion

1 : √3 : 2 <em>(look at the picture).</em>

<em />

We have

a\sqrt3=12         <em>multiply both sides by √3   (use √a · √a = a)</em>

3a=12\sqrt3       <em>divide both sides by 3</em>

a=4\sqrt3

b=2a\to b=2(4\sqrt3)=8\sqrt3

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3 years ago
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