Answer: 77
Step-by-step explanation:
So you know that he earns $15 per hour so we can write that as 15h, h = # of hours worked
We also know he has to earn AT LEAST $200, so putting all this together we form the inequality(=< means less than or equal to): 15h =< 200
so now we have to solve for h (number of hours worked):
15h =< 200
(divide both sides by 15)
h =< 13 1/3
So, the painter must work a minimum of 13 and 1/3 hours to earn at least $200.
Answer:
0
Step-by-step explanation:
(y2-y1)/(x2-x1)
6(y2)-6(y1)= 0
2(x2)- -3(x1)=5
0/5=0
Answer:
- The y-intercept is (0, -37/7).
Explanation:
When you have one point and the slope of a line you can find its equation by using the point-slope form of the linear function:
- m = slope
- point = (a, b)
- point-slope equation: (y - b) = m (x - a).
Now substitute m = -1/7 and (a,b) = (5, - 6)
Solve for y:
- y = -(1/7)x - 37/7 ← this is the slope-intercept form of the equation.
The y-intercept is the point when x = 0. So, the corresponding y-coordinate is the constant term in the last equation:
And the y-intercept is the point (0, -37/7).
Using Descartes' Rule of Signs:
The signs are: - + - + - +
There are 5 signs changes in this sequence, so there could be either 5, 3, or 1 positive roots.
If we negate the terms with odd numbers (x^5, x^3), we end up with the signs: - - - - - +
Since there is 1 sign change, there can be only 1 negative root.
This means the positive and negative roots can either be 6, 4, or 2.
Since the total number of roots cannot exceed 6, there are either 0, 2, or 4 complex roots.
