At the Oral Language Fair, Tom’s speech took 9 1/2 minutes. Andrea’s speech was 7/8 as long as Tom’s. How long was Andrea’s spee
1 answer:
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Recall that
Take it one piece at a time. For
If we shift the argument by 1 and scale by -5, we have
so if we subtract this from
For the next piece, we can add another scaled and shifted step like
so that
For the last piece, we add one more term:
and so putting everything together, we get
Answer:
(2,-5)
Step-by-step explanation:
See attachment
One can also solve this by calculation:
y=2x-9
y=-2x-1
-
Rearrange either equation to find x. I'll use the first:
y=2x-9
2x = y+9
x = (y+9)/2
Now use this value of x in the second equation:
y = -2x-1
y =-2((y+9)/2)-1
y = (-2y-18)/2)-1
y = -y -9 - 1
2y = -10
y = -5
Now use -5 for y in the rearranged equation:
y = -2x-1
-5 = -2x-1
-2x = -4
x = 2
Solution is (2,-5)
But the question wants a graph solution, which is also fun when you use DESMOS.
