Answer:
The x-intercepts of the function are:
Step-by-step explanation:
As
![( x + 2 ) ( x - 9 ) = 0](https://tex.z-dn.net/?f=%28%20x%20%2B%202%20%29%20%28%20x%20-%209%20%29%20%3D%200)
so
Either
( x + 2 ) = 0
or
( x - 9 ) = 0
solving ( x + 2 ) = 0
![x + 2 = 0](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%200)
![x = 0 - 2](https://tex.z-dn.net/?f=x%20%3D%200%20-%202)
![x = -2](https://tex.z-dn.net/?f=x%20%3D%20-2)
solving ( x - 9 ) = 0
![x-9=0](https://tex.z-dn.net/?f=x-9%3D0)
![x=9](https://tex.z-dn.net/?f=x%3D9)
We also know that to get x-intercepts by setting y=0.
Therefore, the x-intercepts of the function are:
A is the only option so that is the answer, i guess.
Answer:
150 red bars
Step-by-step explanation:
To solve this, you can use proportions. First, set up your two ratios (4:3 is equal to 200:___). Each ration represents the number of green bars to red bars. To get from 4 to 200, you can multiply 4 by 50. You could do the same to 3. 3 times 50 is 150, so there are 150 red bars.
Answer:
3
Step-by-step explanation:
$1.75 (ice cream) + $0.35 (topping) * x (some toppings) = $2.80, so I can rewrite it like that: 1.75+0.35x=2.80
1) Move the constant to the right side and change its sign: 0.35x=2.8-1.75
2) Substract the numbers: 0.35x=1.05
3) Divide the both sides of the equation by 0.35
4) x=3
The midpoint of a line segment divides the line segment into equal halves.
- The value of x is 4
- The value of VM and MW is 15
- The value of VW is 30
Point M is the midpoint of line segment VW.
So, we have:
![VM = MW](https://tex.z-dn.net/?f=VM%20%3D%20MW)
Substitute known values
![4x - 1= 3x+3](https://tex.z-dn.net/?f=4x%20-%201%3D%203x%2B3)
Collect like terms
![4x - 3x = 1 + 3](https://tex.z-dn.net/?f=4x%20-%203x%20%3D%201%20%2B%203)
Evaluate like terms
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
Hence, the value of x is 4
The expression for VM is:
![VM = 4x - 1](https://tex.z-dn.net/?f=VM%20%3D%204x%20-%201)
So, we have:
![VM = 4(4) - 1](https://tex.z-dn.net/?f=VM%20%3D%204%284%29%20-%201)
![VM = 15](https://tex.z-dn.net/?f=VM%20%3D%2015)
Hence, the value of VM and MW is 15
The length of VW is the sum of both lengths.
So, we have:
![VW = 15 + 15](https://tex.z-dn.net/?f=VW%20%3D%2015%20%2B%2015)
![VW = 30](https://tex.z-dn.net/?f=VW%20%3D%2030)
Hence, the value of VW is 30
Read more about midpoints at
brainly.com/question/18315903