Answer:
100 - 4q²
Step-by-step explanation:
(10 - 2q)(10 + 2q)
each term in the second factor is multiplied by each term in the first factor.
10(10 + 2q) - 2q(10 + 2q) ← distribute parenthesis
= 100 + 20q - 20q - 4q² ← collect like terms
= 100 - 4q²
The answer to this equality when you factor it is (2x-1)(x+2)(x-6)
D) y + 3 = -6(x + 9)
The equation for point-slope form is y - y1 = m(x - x1) where (x1, y1) is a point and m is the slope.
Substitute the values in to get y - (-3) = -6(x - (-9)).
Now, simplify a little bit.
y + 3 = -6(x + 9)
There’s the answer.
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Answer:
1.5gal
Step-by-step explanation:
From the given information:
50% lemon juice + 50% lime juice is the intended mixture.
Therefore, to find quantity that would be added to 20% lemon juice and 80% lime juice, let's assume this to be x.
x of 100% and 4-x gallons of the existing 20% mix
100%x + 20%(4-x) = 50%(4)
1.00x + 0.2(4-x) = 0.5(4)
1.00x + 0.8-0.2x = 2
1.00x-0.2x = 2-0.8
0.8x = 1.2
× = 1.5gal.
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:
mean = (17+13+13+22+11+20)/6 = 16.
Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.
17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16
Now average these outcomes:
variance = (1+9+9+36+25+16)/6 = 16.
So the variance by coincidence is the same as the mean.
Answer C is your answer.
