The answer is: " (x − 8) (x + 3) " .
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" (x − 8) (x + 3) " are the factors of: " x² − 5x − 24 " .
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Explanation:
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Given: "x² − 5x − 24 " ; Factor this "trinomial" expression completely.
We notice the "-5x" and the "-24 .
What factors of "-24" add up to "-5" ?
-1 + 24 ? No.
-24 + 1 ? no.
-12 + 2 = -10? No.
12 + (-2) = 12 - 2 = 10 ? No.
-3 + 8 = 5 ? No.
-8 + 3 = -5 ? Yes!
So: " (x − 8) (x + 3) " are the factors of: " x² − 5x <span>− 24 " .
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The answer is: 24^2x-64x-24
Answer: 130
Step-by-step explanation:
Plug in 3 for x
The points where the 2 graphs intersect is where x = 0 and x = 2.
- 2 2
x = INT x dA / INT dA
0 0
INT dA = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx = INT -2x^2 + 4x
= -2 x^3/3 + 2x^2
= 2.667 between 0 and 2
xdA = -2x^3 + 4x^2 INT xdA = -x^4/2 + 4x^3/3 = 2.667
centroid = 2.667 / 2.667 = 1 (x = 1)
