Simplifying
2c + 3 = 3c + -4
Reorder the terms:
3 + 2c = 3c + -4
Reorder the terms:
3 + 2c = -4 + 3c
Solving
3 + 2c = -4 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
3 + 2c + -3c = -4 + 3c + -3c
Combine like terms: 2c + -3c = -1c
3 + -1c = -4 + 3c + -3c
Combine like terms: 3c + -3c = 0
3 + -1c = -4 + 0
3 + -1c = -4
Add '-3' to each side of the equation.
3 + -3 + -1c = -4 + -3
Combine like terms: 3 + -3 = 0
0 + -1c = -4 + -3
-1c = -4 + -3
Combine like terms: -4 + -3 = -7
-1c = -7
Divide each side by '-1'.
c = 7
Simplifying
c = 7
Answer:
-2(2x-1)
Step-by-step explanation:
x+4-5x-2
1) collect like like terms
-4x+2
2) factor out the -2
-2(2x-1)
3) that gives you the final answer of
-2(2x-1)
1a.) y=0.5x+2
1b.) The 0.5x is the slope. It represents the amount of extra money you are paying (in addition to the automatic $2) per mile. The y-intercept is 2. That represents the amount you automatically pay for that company.
2.a) I forgot how to do point-slope form, but for 2b., the slope is representing the same thing as in 1a. The slope is .65 and it is representing the amount of money you pay (in addition to the automatic $1.75) per mile.
To find the answers to the table question, use the slope intercept formula, y=.65x+1.75 Plug the numbers they are asking about in for x.
Example: Plugging in 3 we get y=(.65)(3)+1.75 which will equal 3.7 so the amount of money you pay after driving for 3 miles is $3.70.
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The answer is -1,0 1,1 3,2