Answer:
(4x - 1)^2.
Step-by-step explanation:
16x^2 - 8x + 1
Multiplying the first and last coefficients:
16 * 1 = 16
We need 2 numbers whose product is 16 and whose sum is -8.
These are - 4 and -4.
So we now write:
16x^2 - 4x - 4x + 1
Now factor by grouping :
= 4x(4x - 1) - 1(4x - 1)
= (4x - 1)(4x - 1)
= (4x - 1)^2
This method of factoring quadratics is called the 'ac' method - you split the middle term ( in this case the -8x) into 2 parts.
9514 1404 393
Answer:
- 3 gallons 15%
- 2 gallons 10%
Step-by-step explanation:
Let x represent the quantity of 15% alcohol required. Then (5-x) is the amount of 10% alcohol needed. The amount of alcohol in the mix is ...
0.15x +0.10(5-x) = 0.13(5)
0.05x +0.5 = 0.65 . . . . . . . simplify
0.05x = 0.15 . . . . . . . . . subtract 0.5
x = 3 . . . . . . . . . . . . . divide by 0.05
3 gallons of 15% alcohol and 2 gallons of 10% alcohol should be mixed.
Answer:
option three!!!!!
Step-by-step explanation:
its closed circle
on 6
and pointing left
Answer:
x≥−
7
13
Step-by-step explanation:
-7x<=13
