I might be misreading something here but if:
x^5+243=0 subtract 243 from both sides
x^5=-243 raise both sides to the 1/5 power (or take the fifth root of both sides)
x=-3
So there is only one solution, x=-3
Answer:
fog = 2√(x-1) + 1
Domain = [1, 
)
Step-by-step explanation:
Given the functions f(x)=2x+1 and g(x)=sqrt(x-1), we are to find the composite function fog
fog = f(g(x))
f(g(x)) = f(√(x-1))
f(√(x+1)) means that we are to replace variable x in f(x) with the function √(x-1)
f(√(x-1)) = 2(√(x-1))+1
f(√(x+1)) = 2√(x-1) + 1
fog = 2√(x-1) + 1
<em>For the function to exist on any real valued function, then the function inside square root i.e x-1 must be greater than or equal to zero (x-1≥0)</em>
If x-1≥0
x≥0+1
x≥1
This means the range of variable x must be values of x greater than or equal to 1.
Domain = [1, )
When the population mean and standard deviation are known, you use the standard normal distribution
<h3>How to determine the distribution?</h3>
There are several probability distributions; these include
- Normal distribution
- Poisson distribution
- Chi square distribution
- Binomial distribution
- Etc
Of all these distribution, only the standard normal distribution can be used when the population mean and standard deviation are known,
Note that it is also referred to as the z-distribution
Read more about probability distributions at:
brainly.com/question/24756209
The total amount of degrees in a triangle is 180. All three angles should add up to 180˚
We know that 40+60 = 100
The next step is to do 180-100 to get the other angle.
180-100 = 80
So the measure of the third angle is 80˚
Hope this helps!
(Also if you want to do this in one equation, you would do 40+60+x = 180
40+60+x = 180
100+x = 180 (combine like terms)
x = 80 (Subtract 100 from both sides)
