1.What is the simplified form of the expression?

4d^-3•d^18
A.5d^-54
B.5d^15
C.4d^15****
D.4d^-54

2.Suppose that y varies inversely with X and that y=2 when x=8. What is an equation for the inverse variation?
A.y=8/2x
B.y=2/8x****
C.y=x/16
D.y=16/x

I think the answers are:
1.C
2.B

Please correct me if I'm wrong.

Wow I was so confused when I read reinys post/still am; anyway can someone show me how you would work out problem 3?

The answer is C 4d^15

what is the degree of the monomial

6x^5

The degree of the monomial 6x^5 is 5.

What is the degree of the monomial?

7x^8

A. 7
B. 8
C. 15
D. 56

The degree of the monomial 7x^8 is 8. Hence, the answer is B.

What is the factored form of the expression?

s^2-81

A. (s-9)(s-9)
B. (s-9)(s+90)
C. (s-9)(s+9)
D. (s+9)(s+9)

The given expression is a difference of squares and can be factored as follows:

s^2 - 81 = (s - 9)(s + 9)

Therefore, the factored form of the expression is (s - 9)(s + 9), which is option C.

Solve the equation by completing the square. Round to the nearest hundredth if necessary.

x^2 - 6x = -8

A. x= 4, -2
B. x= -4, 2
C. x= 4, 2
D. x= -4, -2

To solve the given equation using completing the square method, we need to add and subtract the square of half of the coefficient of x on the left-hand side to make it a perfect square trinomial:

x^2 - 6x = -8

Add and subtract (6/2)^2 = 9 to the left-hand side:

x^2 - 6x + 9 - 9 = -8

Factor the perfect square trinomial and simplify:

(x - 3)^2 = 1

Take the square root of both sides:

x - 3 = ±1

Add 3 to both sides:

x = 3 ± 1

Therefore, the solutions of the given equation are:

x = 4 or x = 2

So, the answer is A. x= 4, -2.