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Degger [83]
3 years ago
5

See image for question

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0
A,
C(x)= 39x +95
B,
After 61 months
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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
blagie [28]
A.
5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0

B.
3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\hbox{add 12 to both sides} \\
x=11
3 0
3 years ago
Melissa made $252 for 18 hours of work.
Murljashka [212]
She will make $182 for 13 hours of work
8 0
3 years ago
Read 2 more answers
1.5x+4.5y=18 where does it intersect the x-axis?
GrogVix [38]

Answer:

x-intercepts: (12, 0)

Step-by-step explanation:

8 0
3 years ago
Which Odered pair would form a proportional relationship with the point graphed below?
Tasya [4]

Answer:

idk but try searching it up

Step-by-step explanation:

3 0
4 years ago
a car travels 177 miles in 3 hours. find the average speed of the car in feet per second. round to the nearest whole number.
Agata [3.3K]
177 miles/3 hour x (5280 ft/1 mile) x (1 hour/3600 seconds)=934560/10800=86.533 ft/sec

86 ft/sec
8 0
3 years ago
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