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Blizzard [7]
3 years ago
11

17. Divide using synthetic division, and write a summary statement in fraction form.

Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0
<h3>Answer:</h3>

17. 2x^4 + x^3 + x^2 + 4x + 3 + 8/(x -1)

18. x = 2, x = -2

19. The slant asymptote is y = x + 14

<h3>Explanation:</h3>

17. See the first attachment for the synthetic division. The summary statement is the expression represented by the result.

18. The denominator is the difference of two squares, so is readily factored to ...

... (x -2)(x +2)

The zeros of this product are the locations of the vertical asymptotes of f(x). They are ...

... x = 2, x = -2.

19. Dividing the numerator by the denominator (using synthetic division, if you like) gives the result ...

... f(x) = x + 14 + 104/(x -8)

The linear expression y=x+14 defines the end behavior when x gets large. That is, it is the slant asymptote of the function. See the second attachment for a graph.

(There will be a horizontal asymptote only when the degrees of numerator and denominator are the same. In this case, they are not.)

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Mass Jupiter / mass of venus = 1898 * 10^24 / 4.87 * 10^24 = 1898 / 4.87 = 390 times heavier. I hope that comma is correct.
7 0
3 years ago
Read 2 more answers
Inverse of y equals 12 to the x
e-lub [12.9K]

Answer:

f^{-1}(x) = log_{12}(y)

Step-by-step explanation:

We have the following function

y = 12^x, and we need to find the inverse function.

To find the inverse function we should solve the equation for "x". To do so, first, we need to:

1. Take the logarithm in both sides of the equation:

lg_12 (y) = log _12 (12^x)

(Please read lg_12 as: "Logarithm with base 12")

From property of logarithm, we know that lg (a^b) = b*log(a)

Then:

lg_12 (y) = x*log _12 (12)

We also know that log _12 (12) = 1

Then:

x = log_12(y).

Then, the inverse of: y= 12^x is:

f^{-1}(x) = log_{12}(y)

5 0
3 years ago
If you borrow $1,200 for 3 years at an annual interest rate of 4% how much will u pay?
Anastaziya [24]
I=Prt
I=$1,200(0.04)3
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7 0
3 years ago
Please Help me with this problem!!! ASAP
castortr0y [4]

The average rate of change is -5 per month

<h3>How to determine the average rate of change?</h3>

The interval is given as:

July to December

From the graph, we have:

July = 110

December = 30

The average rate of a function over the interval (a, b) is calculated as:

Rate = [f(b) - f(a)]/[b - a]

So, we have:

Rate = (30 - 110)/(December- July)

This gives

Rate = (30 - 110)/(12 - 7)

Evaluate

Rate = -16

Hence, the average rate of change is -5 per month

Read more about average rate of change at:

brainly.com/question/23715190

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6 0
2 years ago
What are the solutions of the compound inequality 2d + 3 ≤ –11 or 3d – 9 &gt; 15?
jolli1 [7]

Answer:

A. d ≤ –7 or d > 8.

Step-by-step explanation:

Given  : 2d + 3 ≤ –11 or 3d – 9 > 15.

To find : What are the solutions of the compound inequality .

Solution : We have given 2d + 3 ≤ –11 or 3d – 9 > 15.

For  2d + 3 ≤ –11

On subtracting both sides by 3

2d  ≤ –11 - 3 .

2d  ≤ –14.

On dividing both sides by 2 .

d  ≤ –7.

For  3d – 9 > 15.

On adding both sides by 9.

3d > 15 + 9 .

3d > 24 .

On dividing both sides by 3 .

d > 8 .

So, A. d ≤ –7 or d > 8.

Therefore,  A. d ≤ –7 or d > 8.

7 0
3 years ago
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