Factorise 6x^2 - 21x
1 answer:
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Answer:
The Jason's company charges more than the contractor's company.
Step-by-step explanation:
There are two expressions given for total charges for two companies as 81 x+108 and 103 x+64.
Here x represents number of hours.
We are asked to find difference in total charges if that takes 45 minutes.
45 minutes = hours.
Plug in this value for x.
81x+108 =
Simplify it
60.75 +108 =168.75
Now, for 103x+64 =
Simplify it,
77.25+64=141.25
If we see the total charge for both companies for 45 minutes, the Jason's business computers charges more than contractor's company.
Answer:
We conclude that the rule for the table in terms of x and y is:
- y = 3x+2
Step-by-step explanation:
The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.
We know the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept.
Taking two points
- (-2, -4)
- (-1, -1)
Finding the slope between (-2, -4) and (-1, -1)
We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.
Taking another point (0, 2) from the table.
It means at x = 0, y = 2.
Thus, the y-intercept b = 2
Using the slope-intercept form of the linear line function
y = mx+b
substituting m = 3 and b = 2
y = 3x+2
Therefore, we conclude that the rule for the table in terms of x and y is:
- y = 3x+2