Warm-Up
2 answers:
The correct matches are shown in the picture after simplification of every expression.
<h3>What is an expression?</h3>It is defined as the combination of constants and variables with mathematical operators.
We have expressions shown in the picture:
First expression:
= 12x + 8 - 7x - 10
= 5x -2
Second expression:
= 17x/3 + 17 - 2x/3 - 15
= 5x + 2
Third expression:
= 8 - 12x - 10 + 7x
= - 5x - 2
Fourth expression:
= 9 - 9x/2 -x/2 - 7
= -5x + 2
Thus, the correct matches are shown in the picture after simplification of every expression.
Learn more about the expression here:
#SPJ1
You might be interested in
9514 1404 393
Answer:
5 hours
Step-by-step explanation:
A quick way to look at this is to compare the difference in hourly charge to the difference in 0-hour charge.
The first day, the charge is $3 more than $12 per hour.
The second day, the charge is $12 less than $15 per hour.
The difference in 0-hour charges is 3 -(-12) = 15. The difference in per-hour charges is 15 -12 = 3. The ratio of these is ...
$15/($3/h) = 5 h
The charges are the same after 5 hours.
__
If you write equations for the charges, they will look like ...
y1 = 15 + 12(x -1)
y2 = 3 + 15(x -1)
Equating these charges, we have ...
15 +12(x -1) = 3 + 15(x -1)
12x +3 = 15x -12 . . . . . . . . eliminate parentheses
15 = 3x . . . . . . . . . . add 12-12x
x = 15/3 = 5 . . . . . . divide by 3
You might notice that the math here is very similar to that described in words, above.
The charges are the same after 5 hours.
