Answer:
33 cases of oil
Step-by-step explanation:
You start with 100 gallons of oil.
1 gallon = 4 quarts
100 gallons = 100 * 4 quarts
100 gallons = 400 quarts
You start with 400 quarts.
You place 12 quarts in each box.
400/12 = 33 1/3
You can pack 33 full cases plus 1/3 of another case.
The question only askes about full cases.
Answer: 33 cases of oil
Answer:
n = 6 +
or n = 6 - 
Step-by-step explanation:
We can solve this equation using the quadratic formula OR Completing the Square method.
n² + 14 = 12n
rearrange : n² - 12n + 14 = 0
here a= 1 , b = -12, c = 14
the quadratic formula says: x = - b/ (2a) + root(b^2 - 4ac) / (2a)
or x = - b/ (2a) - root(b^2 - 4ac) / (2a)
x = - (-12)/ (2) + root((-12)^2 - 4*14) / (2)
x = 6 + root (144 - 56) / 2
x = 6 + root(88)/2
x = 6 + root(4*22) / 2
x = 6 + 2*root(22)/2
x = 6 + root(22) = 6 + 
so x =6 +
or x = 6 - 
In this case x = n
n = 6 +
or n = 6 - 
Answer:
y = - 3x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (- 2, - 1) into the partial equation
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation of line
The answer To this is x=-35
Answer:
12 + -6i
a=12
b=-6
Step-by-step explanation:
( -4 + 3i ) ( -3 - 2i )
-4 * -3 = 12
3i * -2i= -6i
12 + -6i