You know you need to rename a mixed number to subtract when the numbers involved have different denominators. In such a case. The lowest common multiple of the denominators will be calculated subsequent used to adequately rename the mixed numbers before subtraction can be done
Since there are 8 total, and 4 is the amount to find as a fraction, we simply divide 4 by 8 to get 4/8
9514 1404 393
Answer:
48 ft
Step-by-step explanation:
For the quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the given quadratic, which defines a parabola opening downward, the axis of symmetry defines the time at which the maximum height is reached.
t = -48/(2(-16)) = 1.5
Then the maximum height is ...
f(1.5) = (-16·1.5 +48)1.5 +12 = (24·1.5) +12
f(1.5) = 48
The maximum height the object will reach is 48 feet.
Answer
12 (5 - 3)
Step-by-step explanation:
The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.
If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.
If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.
The two number have the factors, 2, 2, and 3 in common.
The greatest common factor is then: 2 * 2 * 3, or 12.
The expression can be factored as: 12 ( 5 - 3)