Answer:
- Discontinuity at (-1,6)
- The zero is at (-7,0)
Step-by-step explanation:
Given the function
, you need to factor the numerator. Find two number whose sum be 8 and whose product be 7. These are 1 and 7, then:
![f(x)=\frac{(x+1)(x+7)}{(x+1)}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%28x%2B1%29%28x%2B7%29%7D%7B%28x%2B1%29%7D)
Then, the denominator is zero when ![x=-1](https://tex.z-dn.net/?f=x%3D-1)
Therefore,
does not belong to the Domain of the function. Then, (-1,6) is a discontinuity point.
Simplifying, you get:
![f(x)=x+7](https://tex.z-dn.net/?f=f%28x%29%3Dx%2B7)
You can observe that a linear function is obtained.
This function is equal to zero when
, therefore the zero of the function is at (-7,0).
1.
11 16
— X — = 44
4 1
Answer to number 1. —- 44 cups.
2.
880 yards is half of 1,760. So, if 1,760 yards is 1 mile then 880 yards (1/2) is .5 mile.
Answer to number 2. —- 0.5 mile.
3.
36 7
— X — =84
1 3
Answer to number 3. —- 84 inches.
ANSWER:
1. 44 cups
2. 0.5 mile
3.84 inches
Hope this helped you understand you how to do this. Have a great day. A thank you and (or) brainliest is always appreciated. (Optional....) Goodbye!
Answer:
The value of the new volume 'x' would be equal to 40.5 cm³.
Step-by-step explanation:
Given
- Dilation by a factor scale of 3/2.
We can determine the volume of the original prism by multiplying the area of the base by the height,
volume = (3 cm²)(4 cm) = 12 cm³
Dilation by a factor of 3/2 means that the dimensions of the new prism is 3/2 times that of the original object.
let 'x' be the volume of the new solid,
![\frac{x}{12}=\left(\frac{3}{2}\right)^3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D%3D%5Cleft%28%5Cfrac%7B3%7D%7B2%7D%5Cright%29%5E3)
![\frac{x}{12}=\frac{27}{8}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D%3D%5Cfrac%7B27%7D%7B8%7D)
Multiply both sides by 12
![\frac{12x}{12}=\frac{27\cdot \:12}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B12x%7D%7B12%7D%3D%5Cfrac%7B27%5Ccdot%20%5C%3A12%7D%7B8%7D)
![x=\frac{81}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B81%7D%7B2%7D)
cm³
Therefore, the value of the new volume 'x' would be equal to 40.5 cm³.
Answer:
3rd one I believe
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
ok so first you eat my poop then you eat your own poop and then you eat my dog poop