Step-by-step explanation:
1) -7 (divide -28 by 4 to isolate x)
2) -8 (two negatives = a positive, so it's x + 6 = -2, then subtract 6 from both sides)
3) 5 (subtract 4 from both sides, and multiply each side by -1)
4) 2 (subtract 7 from both sides, then divide by -3)
5) -3 (add 11 to both sides then divide by 25)
Answer:
f(x) = 12x = 10
Step-by-step explanation:
We need a linear equation in the slope-intercept form.
y = mx + b
where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value
Let's look in the table.
1 hour: $22
2 hours: $34
The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.
The difference in time between 1 hour and 2 hours is 1 hour.
In 1 hour he earns $12. That means the slope is 12.
We know he earns $22 for working a total of 1 hour.
Start at 1 hour and $22 on the table.
Subtract 1 hour from 1 hour to get 0 hours.
Subtract $12 form $22 to get $10.
That means for 0 hours he gets $10. b = 10
The equation is
y = 12x + 10
In function form, we have:
f(x) = 12x = 10
Answer: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−3,0),(2,0)
y-intercept(s): (0,6)
D
where they meet at is 2,6
