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butalik [34]
3 years ago
13

PLS HELP! If f(x) = -9x + 12, and f(x) = -6, find x.

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

2

Step-by-step explanation:

You can rewrite thosee two equations as -9x+12=-6, because f(x)=f(x)

Now isolate x

-9x+12=-6

-9x+12-12=-6-12 (subtract 12, subtraction property of equality)

-9x=-6-12

-9x=-18 (simplify)

-9x/-9=-18/-9 (divide by 9, division property of equality)

x=2

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An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W
IceJOKER [234]
The total cost is given by the equation:
C(t) = 45 + 25(h-1) where h is the number of hours worked.

We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.


Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C


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