"A day care program has an average daily expense of $75.00. The standard deviation is $5.00. The owner takes a sample of 64 bill
2 answers:
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- First, we find the <u>lowest common denominator</u> which is "14", we put it in the common numerator.
- We subtract the numbers.
Ques 8:
The Volume(V) in cubic feet of an aquarium id modeled by the polynomial function V(x)=
a) We have to explain that why x =4 is not a possible rational zero.
By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.
For this , we will substitute the value of x in the given function.
which is not equal to zero.
Therefore, x=4 is not a possible rational zero.
(b) To show that (x-1) is a factor of V(x).
By Factor theorem, which states that a polynomial f(x) has a factor (x - k) if and only if f(k)=0.
Let (x-1)=0
So, x=1.
Substituting x=1 in the given function.
V(1) = 0
Therefore, (x-1) is a factor of V(x).
Now we will factorize the given function.
Dividing the given function by (x-1).
On dividing, we get quotient as
So, factored form is =
=
=
=
(c) So, the dimensions are 1,2 and -5.
The formula for the value of nth term is = 3n + 1
Step-by-step explanation:
The formula of the nth term in the arithmetic sequence is
, where
- a is the first term of the sequence
- d is the common difference between each two consecutive terms
∵ The first term of an arithmetic sequence is equal to four
∴ a = 4
∵ The common difference is equal to three
∴ d = 3
- Substitute these values in the rule of the nth term
∵
∴
- Simplify it
∴
∴
The formula for the value of nth term is = 3n + 1
Learn more:
You can learn more about the sequence in brainly.com/question/7221312
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The inverse of the function is f(x) = + 8
In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.
f(x) = ----> Switch f(x) and x
x = ----> Cube both sides
= f(x) - 8 ----> Add 8 to both sides
f(x) = + 8