Answer: <em>Each person runs 3 miles</em>
Step-by-step explanation:
The race is 12 miles long, so you would substitute it for m.
This would make your equation 12/4, which is equal to 3
Answer:
C.
Step-by-step explanation:
For Function 2
x=1 y=8
x=2 y=11
8=m+b
11=2m+b
11-8=2m-m
m=3
8=3+b
b=5
y=3x+5
Function 1
y=4x+5
Function 2
y=3x+5
....................
Function 1 has the same y-intercept and greater slope than Function 2.
I’m assuming what you’re asking here is how to *factor* this expression. For that, let’s rearrange the expression into a more familiar form:
-c^2-4c+21
From here, we’ll factor out a -1 so that we have:
-(c^2+4c-21)
Let’s focus on the quadratic expression inside the parentheses. To find our factors (c + x)(c + y), we’ll need to find two terms x and y that multiply together to make -21 and add together to make 4. It turns out that the numbers -3 and 7 work out perfectly for that purpose (-3 x 7 = -21 and 7 + (-3) = 4), so substituting them in for x and y, we have:
(c + (-3))(c + 7)
(c - 3)(c + 7)
And adding back on the negative from a few steps earlier:
-(c - 3)(c + 7)
Answer:
(2 decimal places)
Step-by-step explanation:
Quadratic Formula: 
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Plug in values:

First value of x:
(2 decimal places)
Second value of x:
(2 decimal places)