Problem 13
10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get
10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q
so we get the original expression again. Here 10 is the GCF of the two terms.
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Plug p = 1 and q = 2 into the factored form
10*(p+q) = 10*(1+2) = 10*(3) = 30
As a check, let's plug those p,q values into the original expression
10*p+10*q = 10*1+10*2 = 10+20 = 30
We get the same output of 30
Answer:
P(x)=0.025x+100
Step-by-step explanation:
The 0.025 is 2.5% as a decimal. Then, the +100 is for the base pay amount Hailey receives.
Answer:
y + 30 = 4/5(x - 10)
Step-by-step explanation:
Given the slope, 4/5, and point (10, -30):
We can plug these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (10, -30)
and m = 4/5
y - (-30) = 4/5(x - 10)
y + 30 = 4/5(x - 10)
Therefore, the point-slope form is y + 30 = 4/5(x - 10)
