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From point A to C, which is the length of the entire line, it's 3x + 1.
AB = 2x + 4
BC = 10
This means that AB + BC = AC
All you have to do is plug in the equations.
(2x + 4) + (10) = (3x + 1)
2x + 14 = 3x + 1
2x + 13 = 3x
13 = x
Now plug in the value of x (13) into the AC equation (3x + 1).
AC = 3(13) + 1
AC = 39 + 1
AC = 40
The answer is:
a. 40
The functions could represent g(x) is B. 
<h3>How can the function be determined?</h3>
Using the general equation 
The g(x) has intercept of y=-2,
Then the y-intercept of f(x) is at y=3
If we find the difference between both y-intercepts, we have
( -2 -3) = -5
Then b=-5
Hence,
is correct.
Learn more about the transformation at
brainly.com/question/4289712
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Answer: A
<u>Step-by-step explanation:</u>
f(x) = x³ + 4x² + 7x + 6
possible rational roots are ±{1, 2, 3, 6}
Try x = -2
-2 | 1 4 7 6
<u>| ↓ -2 -4 -6</u>
1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0
The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.
a=1, b=2, c=3








The factors are:
I think the answer is B.
Hope this helps.