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Artyom0805 [142]
3 years ago
11

Help with this math question please

Mathematics
1 answer:
Masja [62]3 years ago
7 0
| -6x - 3 | > 15

This expression can be written as:

a) -6x - 3 > 15 
b) -15 > - 6x - 3

Solving a part:

- 6x - 3 \ \textgreater \  15 \\  \\ 
- 6x \ \textgreater \  18 \\  \\ 
x \ \textless \  -3

Solving b part:

-15 \ \textgreater \  - 6x - 3 \\  \\ 
-12 \ \textgreater \  - 6x \\  \\ 
2 \ \textless \  x

or we can write:
x > 2

So the solution to given inequality is:
x \ \textless \  -3  \\ or  \\ x \ \textgreater \  2

The second option correctly lists this solution.
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Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
yaroslaw [1]

Answer:

10.4 miles

Step-by-step explanation:

Write an equation for the total cost paid as a function of the # of miles driven:

L(x) = $6.75 + ($3.20/mile)x

and set this equal to $40.03 to determine the # of miles Lupita rode:

L(x) = $6.75 + ($3.20/mile)x = $40.03

Isolate the x term by subtracting $6.75 from both sides:

($3.20/mile)x = $40.03 - $6.75 = $33.28

Finally, divide both sides by  ($3.20/mile):

x = $33.28 /  ($3.20/mile)

  =  10.4 miles

Lupita rode 10.4 miles in the taxi.

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