![x^5-8x^3-9x\\\\[Factor]x(x+3)(x-3)(x^2+1)\\\\[Set all the items equal to 0.]x = 0\\\\x+3=0\\x=-3\\\\x-3=0\\x=3\\\\x^2 +1=0\\x^2=-1\\x=i,-i](https://tex.z-dn.net/?f=x%5E5-8x%5E3-9x%5C%5C%5C%5C%5BFactor%5Dx%28x%2B3%29%28x-3%29%28x%5E2%2B1%29%5C%5C%5C%5C%5BSet%20all%20the%20items%20equal%20to%200.%5Dx%20%3D%200%5C%5C%5C%5Cx%2B3%3D0%5C%5Cx%3D-3%5C%5C%5C%5Cx-3%3D0%5C%5Cx%3D3%5C%5C%5C%5Cx%5E2%20%2B1%3D0%5C%5Cx%5E2%3D-1%5C%5Cx%3Di%2C-i)
The 5 roots are 0, -3, 3, i, and -i.
⭐ Answered by Hyperrspace (Ace) ⭐
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Answer:
A standard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and jacks. Two cards are chosen from the deck at random.
Which expression represents the probability of drawing a king and a queen?
StartFraction (4 P 1) (3 P 1) Over 52 P 2 EndFraction
StartFraction (4 C 1) (3 C 1) Over 52 C 2 EndFraction
StartFraction (4 P 1) (4 P 1) Over 52 P 2 EndFraction
StartFraction (4 C 1) (4 C 1) Over 52 C 2 EndFraction
it is D
Step-by-step explanation:
Answer:
x < -4 ∪ x > 4
Step-by-step explanation:
The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.
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I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...
|x| -4 > 0
by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.
<span>7/3+3(2/3−1/3)^2
= 7/3 + 3(1/3)^2
= 7/3 + 3(1/9)
= 7/3 +1/3
= 8/3</span>
Answer: see attachment
<u>Step-by-step explanation:</u>