The correct option is (A) x^6 + x^5 - 2x^4 - 2x^3 + 3x^2 + 6x - 9
Explanation:
The product of two polynomials:
(x^3 + x^2 -3)(x^3 - 2x + 3)
Row1: x^6 x^5 -3x^3
Row2: -2x^4 -2x^3 6x
Row3: 3x^3 3x^2 -9
Add all of the above rows:
x^6 + x^5 - 3x^3 -2x^4 - 2x^3 + 6x + 3x^3 + 3x^2 -9
x^6 + x^5 - 2x^4 - 2x^3 + 3x^2 + 6x - 9 (Option A)
Using trigonometric relations, we will see that:
sin(θ ) = -0.8
<h3>
How to get the sine of the angle?</h3>
For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:
θ = Atan(y/x)
In this case, the point is (3, -4), then the angle is:
θ = Atan(-4/3) = -53.13°
Then the sine of theta is:
sin(θ = -53.13°) = -0.8
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12÷15<u /><em />=160
you have to divide 12 by 15 percent to get the missing number
there are two expressions that can represent the length of the rectangle, these two expressions are:
L = x
or
L = (4x + 12)
<h3>
Which expression could represent the length of the rectangle?</h3>
Remember that for a rectangle of length L and width W, the area is given by:
A = L*W
In this case, we know that the area is:

We can factorize that expression into:

So there are two expressions that can represent the length of the rectangle, these two expressions are:
L = x
or
L = (4x + 12)
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Answer:
8/27
Step-by-step explanation:
<h2><u>Fractions</u></h2>
a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit
what fraction of the jar is full when it only contains one cup of fruit?
by using these statements , we can solve this through <u>cross multiplication</u>:
fraction that the jar is full : number of cups of fruit
: 
x : 1

convert
from a mixed fraction to an improper fraction
hence 2 1/4 = 9/4
solve
.
x = 
<u>x = 8/27</u>
<h3><u>when the cup contains one cup of fruit its fraction 8/27 full </u></h3>