We check with each options
'Or' represents the intersection of two graphs
'And' represents two separate graphs'
We have two separate shaded part in the given graph
So we ignore the options that has 'and' in between
LEts check first and second option
Simplify the first part and second part
multiply both sides by 2 .
x < 2 or 4x - 2 > = 26
solve 4x-2 > = 26
add 2 on both sides and then divide both sides by 4
4x >= 28
x >= 7
So solution is x<2 or x>=7 . that is the graph on number line
Lets check with second option
3x-3<3 or 2x+8>=22
add 3 on both sides
3x < 6
divide both sides by 3
so x< 2
2x+8>=22
subtract 8 on both sides
2x >= 30
divide both sides by 2
x >= 15
x<2 or x>=15 that does not satisfies the graph
So option A is correct
Answer:
Lines 3 and 4
Step-by-step explanation:
Let's examine the slope of each of the given lines to have the exact value and be able to answer the question. We use the definition of: ![slope=\frac{rise}{run}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7Brise%7D%7Brun%7D)
Line 1: ![slope=\frac{rise}{run}=\frac{6}{2} = 3](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7Brise%7D%7Brun%7D%3D%5Cfrac%7B6%7D%7B2%7D%20%3D%203)
Line 2: ![slope=\frac{rise}{run}=\frac{6}{3} = 2](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7Brise%7D%7Brun%7D%3D%5Cfrac%7B6%7D%7B3%7D%20%3D%202)
Line 3: ![slope=\frac{rise}{run}=\frac{6}{4} = 1.5](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7Brise%7D%7Brun%7D%3D%5Cfrac%7B6%7D%7B4%7D%20%3D%201.5)
Line 4: ![slope=\frac{rise}{run}=\frac{6}{5} = 1.2](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7Brise%7D%7Brun%7D%3D%5Cfrac%7B6%7D%7B5%7D%20%3D%201.2)
Line 5: ![slope=\frac{rise}{run}=\frac{6}{6} = 1](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7Brise%7D%7Brun%7D%3D%5Cfrac%7B6%7D%7B6%7D%20%3D%201)
Therefore the lines that have slope strictly greater than 1 and less than 2 are:
Lines 3 and 4
Answer:
I THINK IT IS C.
Step-by-step explanation:
Answer:
sorry i cant I really need the points tho
Answer:
The correct options are 3, 4 and 5.
Step-by-step explanation:
It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.
It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).
The ball falls at a rate of 50 ft per minute. So, the rate of change is
![m=-50](https://tex.z-dn.net/?f=m%3D-50)
The height of balloon is defined as
![[\because y=mx+b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20y%3Dmx%2Bb%5D)
Where, x is time in minutes.
The balloon will reach the ground when h(x)=0
![0=-50x+1000](https://tex.z-dn.net/?f=0%3D-50x%2B1000)
![50x=1000](https://tex.z-dn.net/?f=50x%3D1000)
![x=20](https://tex.z-dn.net/?f=x%3D20)
Therefore the options 3, 4 and 5 are correct.