Answer:
All real numbers except for 5.
Step-by-step explanation:

The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.
Thus, we need to find the zero(s) of the denominator to determine the domain.


Therefore, the domain of the rational function is all real numbers except for 5.
In set builder notation, this is:

Answer:
a = 2, b = 3.5
Step-by-step explanation:
Expanding
using Binomial expansion, we have that:
=


We have that the coefficients of the first two terms are 128 and -224.
For the first term:
=>
=> ![a = \sqrt[7]{128}\\ \\\\a = 2](https://tex.z-dn.net/?f=a%20%3D%20%5Csqrt%5B7%5D%7B128%7D%5C%5C%20%5C%5C%5C%5Ca%20%3D%202)
For the second term:

Therefore, a = 2, b = 3.5
Answer:
15 weeks
Step-by-step explanation:
Jon will increase his weigh 2 lbs a week which means he will be 178 lbs in 15 weeks{148+(15*2)} while Matt will decrease his weight from 1 lbs which means he will be 178 lbs in 15 weeks (193-15=178).
Answer:
(b) She should have rounded –8.02 to –8
Step-by-step explanation:
Given
See attachment for long division
Required
Her error
Ignoring the minus sign,
Her approximation is as follows:


Her approximation of -8.02 is wrong
Because:

<em>Hence (b) is correct</em>