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.
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
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.
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
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.
#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