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).
Answer:
x = $200
The original price is $200
Question :
The price of a dress is reduced by 50%. When the dress still does not sell, it is reduced by 50% of the reduced price. If the price of the dress after both reductions is $50, what was the original price?
Step-by-step explanation:
Let x represent the original price of the dress.
First reduction
After first reduction the value of the price is given as;
p1 = x - 50% of x = (1-0.50)x = 0.5x
p1 = 0.5x
Second reduction
After the second reduction the value of the price is given as;
p2 = p1 - 50% of p1 = (1-0.50)p1 = (0.50)0.50x
p2 = 0.25x .....1
Since, p2 is given
p2 = $50
Substituting into equation 1
$50 = 0.25x
x = $50/0.25 = $200
x = $200
The original price is $200
The amount of the acute angle and obtuse angle what ever the degrees equal it will still be 180 degrees
5 grapes/x grapes = 2 strawberries/18 strawberries....
so x would be 45
28993 because 37493-8500 = 28,993