Answer: a)
Step-by-step explanation:
Since we have given that
a.) Find the inverse of f(x) and name it g(x).
Let f(x) = y
So, it becomes
Switching x to y , we get
b) . Use composition to show that f(x) and g(x) are inverses of each other.
Similarly,
so, both are inverses of each other.
c) Draw the graphs of f(x) and g(x) on the same coordinate plane.
As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x
And both f(x) and g(x) are symmetry to y=x.
∴ f(x) and g(x) are inverses of each other.
Answer:
The point estimate for this problem is 0.48.
Step-by-step explanation:
We are given that a University wanted to find out the percentage of students who felt comfortable reporting cheating by their fellow students.
A survey of 2,800 students was conducted and the students were asked if they felt comfortable reporting cheating by their fellow students. The results were 1,344 answered "Yes" and 1,456 answered "no".
<em>Let </em><em> = proportion of students who felt comfortable reporting cheating by their fellow students</em>
<u></u>
<u>Now, point estimate (</u><u>) is calculated as;</u>
where, X = number of students who answered yes = 1,344
n = number of students surveyed = 2,800
So, Point estimate () =
= <u>0.48 or 48%</u>
You have to multiply 4 decimal 5 * 2 and you get your answer and 0.7 * 2 and then you add up those two answers such a bit and see what you get
-7x+14y=-14
-3x+7y=-3
when using elimination you need to multiply or divide one equation to be able to “eliminate” a variable.
-7x+14y=-14
-2(-3x+7y=-13)
multiply the second equation by -2
-7x+14y=-14
6x-14y=6
simplify
-1x=-8
divide by -1 on both sides to isolate the x
x=8
now you can plug in 8 for x in one of the equations.
-3(8)+7y=-3
simplify
-24+7y=-3
add -24 to both sides the isolate the constant and variable
7y=21
now divide by 7 on both sides to isolate y
y=3
this system of equation had one solution at (8, 3)
i hope this helps :)