The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.
Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)
We have to find second factor of given equation
First we will be rational root theorem to given expression so will get following expression:
So one factor is (x-1) and now simplifying 
we get 2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)
Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)
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0.12 can be written as 12/100 or 3/25. It is very much a rational number as no square root is involved in the fractional form of the number.
A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in the length and width. Write and simplify an expression for the perimeter of the new pattern.
p=2(96+l)+2(60+w)
This is the equation. p is for perimeter. (96+l) represents the original length plus the change in length. The 2 before (96+l) represents that there is one length on each side of the rectangle.
Same for the width. (60+w) represents the original width plus the change in width. The 2 before (60+w) represents that there is one width on each side of the rectangle.
The simplified equation is p=(192+2l)+(120+2w) (this is your answer)
I hope this helps!
Answer:
<h2>C. g(x) = x - 6</h2>
Step-by-step explanation:
For a parent function y = f(x) and n > 0:
f(x) + n : move the graph n units up
f(x) - n : move the graph n units down
f(x + n) : move the graph n units to the left
f(x - n) : move the graph n units to the right
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We have
f(x) = x
Transformation: 6 units down
f(x) - 6 = x - 6
8x - 32 = 6 - 9x
17x = 38
x = 38/17
