Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
For this case we convert the mixed numbers to fractions:

Now we add the fractions:

We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.

8,375
Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:
gallons
Answer:
gallons
Answer:
it increased 50%
Step-by-step explanation:
5 / 2.5 = 2
100 / 2 = 50%
Answer:
13
Step-by-step explanation:
If you look at where $5 crosses the line of best fit, you see it between 12 and 14 ounces. The answer is 13.