Answer with Step-by-step explanation:
we are given a function:
We have to find the point of discontinuity of the function.
As we can clearly see that the function is not well defined if the denominator is zero.
So, the point of discontinuity is that value of x where denominator is zero
i.e. x such that 4x+24=0
4x= -24
x= -6
Hence, function is discontinuous at x= -6
and is continuous at all x ≠ -6
Answer:
The average rate of change is 8.
Step-by-step explanation:
The formula to calculate the average rate of change of a function F(x) is:
In this case, F(x) =
a=2 and b=4
You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.
In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:
F(b) =
F(a) =
The answer is 8.
Answer: Joe has initial amount of $12 ( when he played no game).
Step-by-step explanation:
Given: Joe took $12 to the arcade. Each game cost $.50 to play.
This situation can be modeled with the equation
Here,
Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.
Since y-intercept gives the initial value of the function when x=0.
To find y-intercept , we out x=0 in funtion , we get
So , y-intercept of this function is at y=12.
Meaning of the y-intercept in the terms of this problem :
Joe has initial amount of $12 ( when he played no game).
40°, 60° and 80°
sum the parts of the ratio 2 + 3 + 4 = 9
The sum of the angles in a triangle = 180°
Divide 180 by 9 to find one part of the ratio
= 20° ← 1 part of the ratio
2 parts = 2 × 20 = 40°
3 parts = 3 × 20 = 60°
4 parts = 4 × 20 = 80°
The angles in the triangle are 40°, 60° and 80°