Answer:
<em>No values of x can make f(x)=6</em>
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:
![f(x) = -0.5|2x + 2| + 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-0.5%7C2x%20%2B%202%7C%20%2B%201)
We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:
![-0.5|2x + 2| + 1=6](https://tex.z-dn.net/?f=-0.5%7C2x%20%2B%202%7C%20%2B%201%3D6)
Subtracting 1:
![-0.5|2x + 2| =6-1=5](https://tex.z-dn.net/?f=-0.5%7C2x%20%2B%202%7C%20%3D6-1%3D5)
Dividing by -0.5:
![|2x + 2| =5/(-0.5)=-10](https://tex.z-dn.net/?f=%7C2x%20%2B%202%7C%20%3D5%2F%28-0.5%29%3D-10)
We reach to this equation to solve:
![|2x + 2| =-10](https://tex.z-dn.net/?f=%7C2x%20%2B%202%7C%20%3D-10)
As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
Answer:
90%
Step-by-step explanation:
First, find the total number of tickets sold.
810 discount + 90 full-price = 900 tickets
Now you need to find what percent 810 is of 900.
% of 900 = 810
810/900 = 0.9
Convert this to a percentage.
0.9 × 100% = 90%
90% of tickets were sold at a discount.
Answer:
a) 7 : 20
b)There will be 35 people with blue eye
Step-by-step explanation:
a)
This question is asking you the ratio of the number of people with blue eyes to the total number of people.
So seven people with blue eyes to the total number of 20 people.
7 : 20
b)
you got the ratio 7 : 20, this also means that there will be 7 people with blue eyes in every 20 people.
so you use 100 divides by 20, you will get the number five, this means there are 5 groups of 20 in 100 people.
so then you use 5 times 7, then you got the number 35.
That means, there are 35 people with blue eyes in 100 people.