Answer:
y = 1/9 x z^3
Step-by-step explanation:
y is jointly proportional to x and z^3
y = k * x * z^3 where k is the constant of proportionality
y =12, x = 4 and z =3
12 = k * 4 * 3^3
12 = k * 4 * 27
12 = k * 108
12/108 = k
1/9 = k
y = 1/9 x z^3
Answer:
$87.99 per month
Step-by-step explanation:
68 + 19.99 = $87.99 per month
Answer:
Step-by-step explanation:
First you do the division in parentheses and you get (-3/4*8/1) = -24/4 = -6
The new exercise becomes 2/3 *(-6)*1/3
Next, since there are only multiplication we have to do then in order from left to right so we have
-12/3*1/3 = -12/9
We can simplify by 3 and we get -4/3
Anwer choice C
Answer:
c: is the answer 2 (3 x + 4) (x + 2)
Step-by-step explanation:
Factor the following:
6 x^2 + 20 x + 16
Factor 2 out of 6 x^2 + 20 x + 16:
2 (3 x^2 + 10 x + 8)
Factor the quadratic 3 x^2 + 10 x + 8. The coefficient of x^2 is 3 and the constant term is 8. The product of 3 and 8 is 24. The factors of 24 which sum to 10 are 4 and 6. So 3 x^2 + 10 x + 8 = 3 x^2 + 6 x + 4 x + 8 = 2 (3 x + 4) + x (3 x + 4):
2 2 (3 x + 4) + x (3 x + 4)
Factor 3 x + 4 from 2 (3 x + 4) + x (3 x + 4):
Answer: 2 (3 x + 4) (x + 2)