Answer:
-5
Step-by-step explanation:
-7u+9=2
-7u=2-9
-7u=-7
7u=7
u=7/7
u=1
3(1)-8=3-8=-5
24/3=8
Therefore one third of the can is 8 liters.
24-8=16.
Peter has to fill 16 liters.
x= -0.25 and 1.25
x = -0.5 and 1.5
x = 0 and 1
x = -0.375 and 1.625
Step-by-step explanation:
Given equation of the curve is

(i)
First equation 
Here y = 0
In x-axis the value of y = 0
The graph cuts the x-axis at(-0.25,0) and (1.25,0)
So, x= -0.25 and 1.25
(ii)

here y = 2
The line y= 2 cuts the curve at (-0.5,2) and (1.5,2)
So, x = -0.5 and 1.5
Given equation of the curve is

(i)


Here y = -1
The line y = -1 cuts the curve at (0,-1) and (1,-1)
So x = 0 and 1
(ii)

Here y = x+1
The line y -x =1 cuts the curve at (-0.375,0.5) and (1.625,2).
So x = -0.375 and 1.625
Answer:
Range of the average number of tours is between 150 and 200 including 150 and 200.
Step-by-step explanation:
Given:
The profit function is modeled as:

The profit is at least $50,000.
So, as per question:

Now, rewriting the above inequality in terms of its factors, we get:

Now,
![x0\\x>200,(x-150)(x-200)>0\\For\ 150\leq x\leq200,(x-150)(x-200)\leq 0\\\therefore x=[150,200]](https://tex.z-dn.net/?f=x%3C150%2C%28x-150%29%28x-200%29%3E0%5C%5Cx%3E200%2C%28x-150%29%28x-200%29%3E0%5C%5CFor%5C%20150%5Cleq%20x%5Cleq200%2C%28x-150%29%28x-200%29%5Cleq%200%5C%5C%5Ctherefore%20x%3D%5B150%2C200%5D)
Therefore, the range of the average number of tours he must arrange per day to earn a monthly profit of at least $50,000 is between 150 and 200 including 150 and 200.