Answer:
The difference quotient for 
is 
.
Step-by-step explanation:
The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by
So, for the function the difference quotient is:
To find 
, plug 
instead of 
Finally,
The difference quotient for is .
Answer:
188 students would play sports, out of 1,000.
Step-by-step explanation:
If the probability that a random high school student plays a sport is 0.188 (150/800), which means for every 1 high school student 0.188 of them play a sport. Multiply 0.188x1,000 to get 188 students who play a sport.
The sum of the interior angles of a triangle is 180 degrees
2x-9+3x+x+3=180
6x-6=180
6x=186
x=31
A=2(31)-9
A=62-9
A=53
Answer:
graph c
Step-by-step explanation:
Given
| - 2x | = 4
The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is
- 2x = 4 or - (- 2x) = 4
Solving both
- 2x = 4 ( divide both sides by - 2 )
x = - 2
or
- (- 2x) = 4
2x = 4 ( divide both sides by 2 )
x = 2
The third graph indicates x = - 2 and x = 2 on the number line
