Make f(x) = y
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)
Title:
<h2>See the explanation.</h2>
Step-by-step explanation:
The coin is to be flipped 2000 times.
The probability of getting a head is 0.3.
It is given that, we need to get a head in between 575 and 618 times.
If we will get 575 heads then we will get (2000 - 575) tails.
Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.
The probability of not getting a head is (1 - 0.3) = 0.7.
The probability of getting n times head is
.
The required probability is ∑
, where
.
Answer:The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness of a line and the y-intercept is the point where the line intersects the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)
Step-by-step explanation:
Answer:
The range of the function
is
B. is all real numbers except 
Step-by-step explanation:
Given functions:


To find the range of
.
Solution:
In order to find
, we will plugin
in function
.


The graph of the function
shows that
1) As
approaches -3 (but never touches the line
),
tends to positive or negative infinity.
2) As
approaches 0 (but never touches the line
) ,
tends to positive or negative infinity.
Thus, the range of the function is all real numbers except 
Answer:
39
Step-by-step explanation:
quarters are worth $.25. just divide 9.75 by .25 and you get your answer.
9.75 ÷ .25 = 39