Answer:
-1
Step-by-step explanation:
|x-4|=x-4 when x-4 is positive or zero.
|x-4|=-(x-4) when x-4 is negative or zero.
x-4 is positive or zero means:
x-4>=0
Add 4 on both sides gives:
x>=4
x-4 is negative or zero means:
x-4<=0
Add 4 on both sides gives:
x<=4
Now we are approaching values of 4 from the left which means these values are less than 4 which makes x-4 negative.
So we are using:
|x-4|=-(x-4) when x-4 is negative or zero.
As x approaches 4 from left we have:
|x-4|/(x-4)=-(x-4)/(x-4)=-1.
Answer:
C. 50 degrees.
Step-by-step explanation:
The angles of the triangle add up to 180. So the remaining angle is 50.
Answer:
The answer in the attached figure
Step-by-step explanation:
we have
This is a linear equation
The slope is equal to 
The y-intercept is equal to the point 
----> value of the function f(x) when the value of x is equal to zero
The x-intercept is equal to the point 
----> value of x when the value of the function is equal to zero
using a graphing tool
see the attached figure
If 5/8 of the teachers are males, there are 45 male teachers.
Subtract this value from 72 (i.e., find 3/8 of 72), and you will find that there are 27 female teachers.
