Answer: x = 41.4°
Step-by-step explanation:
We want to solve:
Cos(x) = 3/4
Such that this is on quadrant 1.
(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)
To solve this we need to remember the inverse functions.
If we have two functions f(x) and g(x), these functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then the inverse of the cosine function (this function is "arcos(x)") is such that:
Arcos( cos(x) ) = x
Then in our equation:
Cos(x) = 3/4
We can apply the inverse function to both sides to get:
Arcos(Cos(x)) = Arcos(3/4)
x = Arcos(3/4)
(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)
x = Arcos(3/4) = 41.4°
Answer:
14000
Step-by-step explanation:
A year he contributes :10/100 × 80000= 8000
Then his employer pays 0.75 × 8000= 6000
The total money contributed to is
401k is = 8000 + 6000 = 14000
the first one y= 4x (8 - x)
Answer:


Domain: All real numbers
![Range = [-1,1]](https://tex.z-dn.net/?f=Range%20%3D%20%5B-1%2C1%5D)
Step-by-step explanation:
Given
The attached graph
Solving (a): f(0)
On the attached graph
when 
So:

Solving (b): f(pi)
On the attached graph
when 
So:

Solving (c): Domain
There is no restriction on x.
Hence, the domain is the set of all real numbers
Solving (d): Range
In the attached graph


So, the range is:
![Range = [-1,1]](https://tex.z-dn.net/?f=Range%20%3D%20%5B-1%2C1%5D)