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irina1246 [14]
2 years ago
6

Let f(x) = 8x^3 − 22x^2 − 4 and g(x) = 4x − 3. Find f(x) over g(x).

Mathematics
1 answer:
Alenkasestr [34]2 years ago
5 0
You would use the long division technique..

Here it looks like:
<span>
            --------------------
4x − 3 |</span> <span>8x^3 − 22x^2 − 4
---------
           |</span>
           |
<span>           |

and like that,,,

after you do this, you will get

2x^2-4x-3-\frac{13}{4x-3}


hope that helps
</span>
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Answer:

the length of the opposite side (x), is 27.2

Step-by-step explanation:

For the given right triangle problem;

the opposite side of the given angle, opp. = 22

the hypothenuse side,  hypo. = x

given angle of the triangle, θ = 54⁰

The length of the opposite side (x), is calculated as follows;

sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2

Therefore, the length of the opposite side (x), is 27.2

6 0
3 years ago
A rental car company charges $22.15 per day to rent a car and $0.07 for every mile driven. Aubrey wants to rent a car, knowing t
Luda [366]

The number of days that Aubrey can drive to stay in her budget is 5 days.

<h3>Inequality signs and their meanings</h3>

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

<h3>Equation that represents the question</h3>

Total amount that can be spent ≤ (cost to rent a car per day x number of days) + (cost per mile x total miles driven)

$130 ≤ ($22.15 x dd) + ($0.07 x 275)

<h3>Determination of the number of days that Aubrey can drive</h3>

130 ≤ ($22.15dd) + ($0.07 x 275)

130  ≤  $22.15dd + 19.25

130 - 19.25  ≤ $22.15dd

110.75  ≤ 22.15d

d  ≤ 110.75 / 22.15

d  ≤ 5

To learn more about inequality, please check: brainly.com/question/5031619

8 0
2 years ago
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