To establish this equation we first need to assign some variables.
Let us assign x as the number of hours he has worked
and assign y as the total amount of money that he has earned
Therefore the equation y=36.50x is the equation that correctly represents how much money he makes regardless of how many hours he works. Just plug in how many hours you want for x and then solve the equation and you will get how much money he makes in x amount of hours. This is also proportional because for every hour that he works he gets the same salary of 36.50. It is proportional because no matter how many hours he works the salary will go up the same amount for each extra hour he works. The proportion is 36.50 dollars per hour worked.
Answer:
y = 16 + 3/11
x = -76/11
Step-by-step explanation:
2y - 5x = -2
3y + 2x = 35
__________
(2y - 5x = -2)*3
(3y + 2x = 35)*2
__________
6y - 15x = -6
6y +4x = 70
__________
(6y - 15x = -6) - (6y +4x = 70)
15x - 4x = -6 -70
__________
11x = -76
x = -76/11
__________
3y +2(-76/11) = 35
3y = 35 + 152/11
3y = 13 + 35 + 9/11
3y = 48 + 9/ 11
y = 16 + 3/11
If we assume that ST = 2x + 2, and that TW = 4x - 4, then we can just add the two segments together, as shown below (IF you're asking for the length, that is).
(2x + 2) + (4x - 4)
2x + 2 + 4x - 4
Group together like terms.
(2x + 4x) and (2 - 4)
6x (+) - 2
Answer: 6x - 2
Answer: B. g(x) = |x| - 5
Step-by-step explanation: To translate an absolute value graph (|x|) you have to subtract 5 from the absolute value from the equation |x| but not from the value x. For example, if you did g(x) = |x - 5| then you would get a graph that is moved 5 spaces to the right. This is not what we want. Likewise if we did g(x) = |x + 5| then we would get a graph moved 5 spaces to the left. This is not what we want either.
To get a translated graph that moves down the y-axis (vertical axis), we have to subtract the equation |x| 5 units. This then moves it down 5 units to the y axis from the center.
Answer:
y=3x - 1
Step-by-step explanation:
slope = 3
It intercepts at -1
y=3x - 1
