The equation of the line given is 2 from the equation y = mx + b where m is the slope. For the lines to be parallel, their slopes should be equal. The equation of the line may also be expressed as,
y - y1 = m(x - x1)
Substituting the values,
y - 3 = 2(x - 5)
The simplified form of the equation is,
y = 2x - 7
Answer:
Her new hourly rate is $7.15. She would need to work 35 hours in the next two weeks to make the same amount she made in the first two weeks
Step-by-step explanation:
6.50+.65=7.15 which is the new hourly rate
19+19.50 to find how many hours in total which is 38.5 hours
you multiply the rate of 6.50 by 38.5 and you get $250.25 in 2 weeks for the old rate.
I just multiplied until I found the amount of hours to make 250.25 with the new rate.
7.15x35=250.25
Answer:
x = 146
Step-by-step explanation:
x - 62 = 84
+ 62 = + 62 <-- inverse operation on both sides
x = 146
All your doing is multiplying area, so just foil each term. The answer you will get is 24w^3-30w^2+17w-6
2x + 3y = 3
-10x + 2y = -32
Solve using the substitution method.
Solve for x in the first equation.
2x + 3y = 3
Subtract 3y from both sides.
2x = 3 - 3y
Divide both sides by 2.
x =
-
y
Plug x into the second equation.
-10(
-
y) + 2y = -32
Distribute -10 inside the parentheses.
-15 + 15y + 2y = -32
Combine like terms.
-15 + 17y = -32
Add 15 to both sides.
17y = -17
Divide both sides by 17.
y = -1
Plug y into the first equation.
2x + 3(-1) = 3
Multiply 3 by -1.
2x - 3 = 3
Add 3 to both sides.
2x = 6
Divide both sides by 2.
x = 3
x = 3;
y = -1