Answer:
x¹³ - x⁹ - 9x⁸ + 9x⁴
Explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ
Now, for the given:
To answer the question, we will simply multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final expression.
This can be done as follows:
(x⁸ - x⁴)(x⁵ - 9)
x⁸(x⁵) + x⁸(-9) - x⁴(x⁵) - x⁴(-9)
x¹³ - 9x⁸ - x⁹ + 9x⁴
Rearrange in order of decreasing powers, we will end up with:
x¹³ - x⁹ - 9x⁸ + 9x⁴
Hope this helps :)
Because when you divide both sides by a negative number, the inequality sign changes.
Vertex: (-5,-2); parabola opens up;
General form of the equation for a vertical parabola opening up is:
y-k = a(x-h)^2; knowing that the vertex is at (-5,-2), we can write:
y+2 = a(x+5)^2. We need to find the value of the coefficient a.
From the graph we see that y is 10 when x is approx. -1 3/4 (or -7/4).
subst. these values into y+2 = a(x+5)^2, we get:
10 + 2 = a(-7/4 + 5)^2, or 12 = a(13/4)^2, or 1 = a(169/16).
Solving for a: a = 16/169 = 0.09, or approx 16/160, or 1/10. Unfortunately, this is not close to any of the four answer choices.
I thought it best to try again, and fortunately my second try was correct:
10+2 = a(13/4)^2, or (169/16)a. Thus, 12 = a(169/16)
12
Solving for a: a = ------------- = 1.14. The answer choice closest to this is 1.
169/16
Answer A is correct.
First subtract 7 from 31. Then divide that number by 6. You should get 4 as your answer
Answer:
I figured I got this answer
