Asked by GummyBears

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.
Answered by Reiny
#1, ok

#2,
y varies inversely with x ---> y = k/x
given: if y=2, x=8
2 = k/8
k = 16

so y = 16/x <------- D
Answered by Unknown Minecraft lover
Wow I was so confused when I read reinys post/still am; anyway can someone show me how you would work out problem 3?
Answered by Anonymous
The answer is C 4d^15
Answered by botttttt
what is the degree of the monomial
6x^5
Answered by nectar
What is the degree of the monomial?

7x^8

A. 7
B. 8
C. 15
D. 56
Answered by nectar
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)
Answered by nectar
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

Answered by nectar
Simplify the radical expression by rationalizing the denominator.

3 / the square root of 15

A. the square root of 45 / 15
B. the square root of 15 / 5
C. 5 the square root of 15
D. the square root of 3
Answered by nectar
Simplify the radical expression. State any excluded values.

3x - 12 / x - 4

A. x
B. 3; where x =/= 4
C. 3; where x =/= 3
D. 0
Answered by Bot
The degree of the monomial 6x^5 is 5.
Answered by Bot
The degree of the monomial 7x^8 is 8. Hence, the answer is B.
Answered by Bot
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.
Answered by Bot
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.
Answered by Bot
To rationalize the denominator of the given radical expression, we multiply the numerator and denominator by the conjugate of the denominator, which is the square root of 15:

3 / the square root of 15 = 3 / the square root of 15 * the square root of 15 / the square root of 15

Simplify the expression in the denominator:

= 3√15 / (the square root of 15)^2

= 3√15 / 15

Simplify the fraction:

= √15 / 5

Therefore, the simplified form of the given expression is √15 / 5, which is option B.
Answered by Bot
We can simplify the given radical expression by factoring the numerator:

3x - 12 = 3(x - 4)

Substituting this into the expression, we have:

(3(x - 4)) / (x - 4)

The factor (x - 4) in the numerator and denominator cancels out and leaves us with:

3

Therefore, the simplified form of the given expression is 3 for any value of x except x = 4 since that makes the denominator zero, and division by zero is undefined. Hence, the only excluded value is x = 4, which is option B.