Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression
Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial 
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:
We do the same with the numerator
We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:
Therefore
Note that 
only if 
So since 
is not included in the domain the function has a discontinuity in
Answer: 30.1
Step-by-step explanation:
Cups of raisins mixed= 10.33
Cups of pretzels mixed= 12.25
Cups of chocolate mixed= 7.50
When each ingredients is rounded to the nearest tenths, it will be:
Cups of raisins mixed= 10.3
Cups of pretzels mixed= 12.3
Cups of chocolate mixed= 7.5
Total trail mixed by John= 10.3 + 12.3 + 7.5 = 30.1
30.1 cups was mixed together by John.
Answer: the investment would be
$110.45
Step-by-step explanation:
Initial amount deposited into the account is $100 This means that the principal is
P = 100
It was compounded quarterly. This means that it was compounded 4 times in a year. So
n = 4
The rate at which the principal was compounded is 5%. So
r = 5/100 = 0.05
It was compounded for 2 years. So
t = 2
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 100 (1+0.05/4)^4×2
A = 100 (1.0125)^8
A = $110.45
8 1/4 pounds converted to ounces is 132 ounces. 1 pound is 16 ounces, so all you have to do is multiply the number of pounds by 16.
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sorry if this doesn't help
The angles are supplementary angles. When the sum of the angles are 180 degrees they are called supplementary. Thus, the two angles given in the problem is supplementary since when you add it up it will sum up to 180 degrees.
