Answer:
x = -6 , -2
Step-by-step explanation:
Find factors of x² and 12, in which, when combined, will give 8x:
x² + 8x + 12 = 0
x 6
x 2
(x + 6)(x + 2) = 0
Check. Use the FOIL method:
First, combine the first terms: x * x = x²
Next, combine the outside terms: x * 2 = 2x
Then, combine the inside terms: 6 * x = 6x
Finally, combine the last terms: 6 * 2 = 12
Combine like terms: x² + (2x + 6x) + 12
x² + 8x + 12
Solve for the solutions. Set each parenthesis equal to 0:
(x + 6)(x + 2) = 0
(x + 6) = 0
(x + 2) = 0
Isolate the variable x. Subtract 6 & 2 from both sides for their respective equation:
x + 6 = 0
x + 6 (-6) = 0 (-6)
x = 0 - 6
x = -6
x + 2 = 0
x + 2 (-2) = 0 (-2)
x = 0 - 2
x = -2
x = -6 , -2
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Answer:
Step-by-step explanation:
Amount of kool - aid that the pitcher can hold = gallons
There are 6 smaller containers in which this kool - aid is to be adjusted.
Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.
To find:
The amount of kool - aid that each container can hold?
Solution:
Volume of all the smaller containers combined = Volume of the kool - aid available
Let the volume of one smaller container =
of kool - aid is the amount that each smaller can hold.
To simplify this:
You can factor the denominator and then cancel out some terms. But, this is not factorable. So, I think you are missing a term or you wrote this wrong.
Answer:
8.75
Step-by-step explanation: