The second option down, "nine times the difference of a number cubed and three", is the correct answer.
The graph is the one that correctly represents the linear piece-wise function is the first graph.
<h3>How to solve for the graph</h3>
First we have a linear function as
Mx + b
mc= slope, this is the rate of change, how y changes as x changes by 1.
b = y-intercept, y value as x = 0
y = 5 + x
x ≤ 10
at 10 we have 5 + 10 = 15
at 2 dollars
y = 15 + 2(x - 10)
at 14
y = 15 + 2(14 - 10)
15 + 2*4
= 23
Hence we can conclude that the first graph here is the correct one.
Read more on graphs here:
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17 = p - 3 - 3p
Add 3 to 17.
20 = p - 3p
Combine p and 3p (addition)
20 = -2p
Divide by (-2p) to find p.
Since a negative divided by a negative equals a positive, -p would turn into a positive p.
-10 = p
Eight and one half is equal too seven and three halves