Answer:
The inverse of the function is
.
Step-by-step explanation:
The function provided is:

Let
.
Then the value of <em>x</em> is:

For the inverse of the function,
.
⇒ 
Compute the value of
as follows:
![f[f^{-1}(x)]=f[\frac{x-5}{3}]](https://tex.z-dn.net/?f=f%5Bf%5E%7B-1%7D%28x%29%5D%3Df%5B%5Cfrac%7Bx-5%7D%7B3%7D%5D)
![=3[\frac{x-5}{3}]+5\\\\=x-5+5\\\\=x](https://tex.z-dn.net/?f=%3D3%5B%5Cfrac%7Bx-5%7D%7B3%7D%5D%2B5%5C%5C%5C%5C%3Dx-5%2B5%5C%5C%5C%5C%3Dx)
Hence proved that
.
Compute the value of
as follows:
![f^{-1}[f(x)]=f^{-1}[3x+5]](https://tex.z-dn.net/?f=f%5E%7B-1%7D%5Bf%28x%29%5D%3Df%5E%7B-1%7D%5B3x%2B5%5D)

Hence proved that
.
Answer:
I am not entirely sure what you are asking here but if I am right then the answer is -4(x-2) = 8 - 4x
Step-by-step explanation:
Multiplying binomials all you have to do is distribute the 4
Multiply -4 by x to get: -4x
Muliply -4 by -2 to get: 8 (Because two negatives make a positive)
Now you have -4x + 8
Rewrite so it flows better and the answer is:
8 - 4x
Answer:
Hey There the Answer to this is x = nickels
y= dimes
x + y = 34
.05x + .10y= $1.90
-.10x - .10y = -3.40
-.05x + .10y = 1.90
-.05x = -1.50
x = 30 nickels
30 + y = 34
y = 4 dimes
(3,4) And that you get the answer.
Hope it helps!
Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,

To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:

*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.
Answer:
I answered the question according to "ASA" Angle, side, angle
.....
Step-by-step explanation:
Note : I'm not a teacher but I'm quite sure about my answer...
Anyway...
If I'm wrong just tell me...
.....
GOOD LUCK... ❤️