1. 7
2. 15
3. 0
4. 5
Hopefully this is right, basically you are just turning negatives into positives I think.
Answer:
-8b - 5k + 9
Step-by-step explanation:
=(-4b + 15 - 7k) - (6 + 4b - 2k)
Taking away the brackets
=-4b + 15 - 7k - 6 - 4b + 2k
collecting like terms
=-4b - 4b - 7k + 2k + 15 - 6
= -8b - 5k + 11
I think the answer would be 75%, meaning that the orange juice would have a greater percentage of water.
Answer:12000
Step-by-step explanation:
During the Playoff the schools football team has on average 30% their games than during the regular season
The average for this year's playoffs attendance was 15,600 fans
To get the number of fans during a regular season goes thus:
Since there is an increase of 30%, we add 100% to 30% which gives:
100% + 30% = 130%
= 15600 ÷ 130%
= 15600 ÷ 130/100
= 15600 × 100/130
= 15600 × 0.7692
= 12000
There are 12000 fans during a regular season
Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression
![f(x) = \frac{x^2+4x+3}{x^2-x-2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7Bx%5E2%2B4x%2B3%7D%7Bx%5E2-x-2%7D)
Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial ![x^2-x-2](https://tex.z-dn.net/?f=x%5E2-x-2)
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:
![(x-2) (x + 1)](https://tex.z-dn.net/?f=%28x-2%29%20%28x%20%2B%201%29)
We do the same with the numerator
![x^2+4x+3](https://tex.z-dn.net/?f=x%5E2%2B4x%2B3)
We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:
![(x+3)(x + 1)](https://tex.z-dn.net/?f=%28x%2B3%29%28x%20%2B%201%29)
Therefore
![f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%28x%2B3%29%28x%2B1%29%7D%7B%28x-2%29%28x%2B1%29%7D)
Note that
only if ![x \neq -1](https://tex.z-dn.net/?f=x%20%5Cneq%20-1)
So since
is not included in the domain the function has a discontinuity in ![x = -1](https://tex.z-dn.net/?f=x%20%3D%20-1)