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Gnoma [55]
3 years ago
13

Let f(x) = 8x3 − 28x + 61 and g(x) = 2x + 5. Find f of x over g of x.

Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer:

4x^2-10x+11+\frac{6}{2x+5}

Step-by-step explanation:

The given functions are:

f(x)=8x^3-28x+61 and g(x)=2x+5

By algebraic properties of functions;

\frac{f(x)}{g(x)}=\frac{8x^3-28x+61}{2x+5}

We perform the long division of the two polynomials as shown in the attachment.

Therefore:

\frac{8x^3-28x+61}{2x+5}=4x^2-10x+11+\frac{6}{2x+5}

The last choice is correct

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Answer:

[1, 1]

Step-by-step explanation:

Translation → [-1, 3] moves down to [-1, 1]

Now, a <em>90°-clockwise rotation</em> is the exact same as a <em>270°-counterclockwise rotation</em>, and according to the <em>270°-counterclockwise rotation</em> [<em>90°-clockwise rotation</em>] <em>rule</em>, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

<u>Extended Rotation Rules</u>

  • 270°-clockwise rotation [90°-counterclockwise rotation] >> (<em>x, y</em>) → (<em>-y, x</em>)
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  • 180°-rotation >> (<em>x, y</em>) → (<em>-x, -y</em>)

Then, you perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]

I am joyous to assist you anytime.

7 0
3 years ago
Teresa will rent a car, she can choose between on of two plan. The first plan has an initial fee of $48 and costs an additional
nika2105 [10]

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Answer:

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Step-by-step explanation:

1. 3-0=3

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Dmitriy789 [7]
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a = 3 feet 8 inches
b = 2 feet 10 inches
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10 ft + 6 in

or:

<u>10.5 feet</u>
4 0
3 years ago
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