What you can do is split one of the binomials and then apply the distributive property if f(x) = (x + 3)(x -2) split the 1st binomial f(x) = x(x -2) + 3(x -2) now apply the distributive property to get
f(x)=x2−2x+3x−6
which simplifies to
f(x)=x2+x−6
Answer:
m =7.
Step-by-step explanation:
Let the constant number = k.
g(m) = k/m,
3.5 = k/10,
k = 35.
Thus, when g(m) = 5 = 35/m, m = 7.
Answer:
56 gallons
Step-by-step explanation:
When her gas tank is full, she has x gallons in the tank.
when she went to the gas station, she had (5/8) of x gallons of gas in her tank. she added 21 gallons into her tank, then she had x gallons in her tank.
(5/8)x + 21 = x
subtract x and 21 from both sides
(5/8)x - x = -21
factor out an x from the left side
x(5/8 - 1) = -21
simplify the parenthesis
x(-3/8) = -21
multiply both sides by -8/3
x= 56 gallons
Answer:
x>=3
Step-by-step explanation:
5x-6>=9
5x>=9+6
5x>=15
x>=15/5
x>=3
Find the volume of the cylinder and divide by 2:
V = pi * r^2 * h
V = 3.14 * 11^2 * 17
V = 6458.98
Divide by 2 since it's half full:
6458.98 / 2 = 3229.49
Now divide it by 46.2 to see how long it will take to drain out:
3229.49 / 46.2 = 69.902
So it will take approximately 70 seconds to drain out.
