Use long division to find the quotient.

(x²+6x-27) ÷ (x-3)

Answers

Answer 1

Answer: $( x^2+6x-27 )/(x-3) = ( x^2+6x +3x-3x-27 )/(x-3) = ( x^2+9x-3x-27 )/(x-3) = \n \n =( x(x +9 )-3(x+9) )/(x-3) = ( (x +9 ) (x-3) )/(x-3) = x+9 \n \n \n x-3\neq 0 \nx\neq 3\nD=R\setminus \left \{ 3 \right \}$

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Premonition : predestination ::a. forecast : weather
b. expectation : fulfillment
c. fear : accident
d. warning : fate

Answers

premonition is a strong feeling that something is about to happen, especially something unpleasant. and predestination is if you think everything happens for a reason and we have no control over our own futures.

final answer is I would say B

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept form)

Answers

Hello,

The slope of y-12=2x-8 is 2 thus the perpendicular will have as slope -1/2

y-3=-1/2(x-2)
or y=-x/2 + 4 is the equation searched.

Follow the directions to solve the system of equations by elimination.8x + 7y = 39
4x – 14y = –68

Answers

To solve a system of equation by elimination, the coefficients of the same variable of both equations must be equal. In this case, let's choose y.
In order to make the coefficient of y of the second equation be equal to 7, we divide it by 2. Resulting to:
2x - 7y = -34

Next, add the two solutions so that the y term is eliminated. The result is:
10x = 5
Then solve for x
x = 1/2

Substitute x to either of the solution to solve for y. The result is:
y = 5

Final answer:

The solution to the system of equations 8x + 7y = 39 and 4x – 14y = -68 via elimination is x = 0.5 and y = 5.

Explanation:

The two given equations are 8x + 7y = 39 and 4x – 14y = -68. The method for solving this is elimination.

First, modify the second equation by multiplying every term by 2.
This will give 8x - 28y = -136.
Now, you have two equations 8x + 7y = 39 and 8x - 28y = -136 that can be combined by subtraction: 8x - 8x + 7y - (-28y) = 39 - (-136).
Simplification gives 35y = 175, so y = 5.
Substituting y = 5 into the first equation, 8x + 7*5 = 39, which simplifies to 8x + 35 = 39, and then to 8x = 4, so x = 0.5.

Learn more about Systems of equations here:

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The product of (3 + 2i) and a complex number is (17 + 7i). the complex number is?

Answers

Hello,

(3+2i)*x=17+7i
==>x=(17+7i)/(3+2i)
==>x=(17+7i)(3-2i)/((3+2i)(3-2i))
==>x=(65-13i)/13
==>x=5-i

Write a subtraction problem involving regrouping that has ted reading 304 pages. Answer your question

Answers

how many pages had Ted read if the book has 502 pages, and he has 198 left to finish?

In an experiment using 30 mice, the sample proportion of the mice that gained weight after a drug injection is 0.65. What is the 99.7% confidence interval for the actual proportion in the population?a)between 0.602 and 0.697

b)between 0.563 and 0.737

c)between 0.476 and 0.824

d)between 0.389 and 0.911