Answer:
Step-by-step explanation:
<u>Given:</u>
- Rate per hour = $6
- Number of hours = 5
- Tips = 15%
Lets the total amount of tabs = t
<u>We have inequality:</u>
- 6*5 + 0.15t ≥ 350
- 30 + 0.15t ≥ 350
- 0.15t ≥ 320
- t ≥ 320/0.15
- t ≥ 2133.33
identity property=something times one
Answer:
x = -2 or -9
Step-by-step explanation:
You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).
<h3>Slope</h3>
The slope of a line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the formula, the slopes of the two lines are ...
m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)
and
m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)
<h3>Perpendicular lines</h3>
The slopes of perpendicular lines have product of -1:

<h3>Solutions</h3>
The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.
Answer: 1000 years
Step-by-step explanation:
-Greek city-states began to form in 800 B.C i.e 800 years Before Christ appearance
- up till 200 A.D i.e 200 years of After Christ disappearance
Hence, the number of years between the time that Greek city-states began to form and the persecution of Christians began is equal to the sum of years Greek city States started formation and Year persecution began
i.e 800 BC + 200 A.D = 1000 Years
Thus, the number of years of that passed was 1000 years
I’m pretty sure it’s 3 and a 2