Which of the following equations has a graph PARALLEL to the line y = 4x + 7
1 answer:
Answer:
y = 4x - 2
Step-by-step explanation:
This equation has the same slope as the equation given which means that they are parallel lines. This equation also has a y-intercept of -2.
I graphed both equations below to show you that they are parallel.
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Answer: a) 15 b)
Step-by-step explanation:
Let X be the number of days:
a)
For LESSONS:
Jordan does 10 / day ( 10*X)
Marco 5 / day ( 5*X)
Junyi 5 / day ( 5*X)
For TESTS:
Jordan does 5 / day ( 5*X)
Marco 10 / day ( 10*X)
Junyi 8 / day ( 8*X)
for each they need a total of 300
a) days for the lessons
b) days for the tests
so they need 15 days to finish both tasks
now if Junyi gets sick we just eliminate his contribution
a) days for the lessons
b) days for the tests
so in 20 days they will finish without him
If jordan works 10 hours a day, we just replace him with 10/24
a) days for the lessons
b) days for the tests
so at the end to complete both tasks they need 29.58 days
Answer:
x = - , x =
Step-by-step explanation:
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
- 3x + 16 = 18 or -(- 3x + 16) = 18
Solving
- 3x + 16 = 18 ( subtract 16 from both sides )
- 3x = 2 ( divide both sides by - 3 )
x = -
or
-(- 3x + 16) = 18
3x - 16 = 18 ( add 16 to both sides )
3x = 34 ( divide both sides by 3 )
x =
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
| - 3(- ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True
| - 3( ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True
Thus x = - and x =
are the solutions