HELPMEEEEEEEEEEEEE

a. P(S)= 19/25

b. P(C)= 11/25

c. P(S union C)= 20/25=4/5

d. P(S intersect C)= 5/25= 1/5

Hope it helps!

Find constants A and B such that $\frac{x + 7}{x^2 - x - 2} = \frac{A}{x - 2} + \frac{B}{x + 1}$ for all x such that $x\neq -1$ and $x\neq 2$. Give your answer as the ordered pair (A, B).

I'm just writing it in Latex for others.

Based on the information given, let the smaller number be x and the larger number be x+8. That means that (x)(x+8)=33. By just looking at the factors of 33: 1, 3, 11, 33. You know that two numbers are 3 and 11. Checking, 3+8= 11 and 3 * 11= 33.

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Ok thanks for the clarification!

a. f(g(x))=(2x+3)-2= 2x+1

b. f(g(0))=((2 * 0)+3)-2= 1

c. f(g(-1))=((2 * -1)+3)-2= -1

Hope it helps!

It would be down by -2 units or up 2 units.

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Using the distance formula, Sqrt((X2-X1)^2+(Y2-Y1)^2)=sqrt260. This radical isn't simplified and equals 2sqrt65.

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Can you check if the full question is given? There is not enough info for me to solve this problem. Thanks!

The question doesn't seem just right. Based on the information given, the equation would be $2^w+3$.