Determine the next three terms in the following sequence: 1, 8, 27, 64,____, ____, ____,...
2 answers:
Answer:
d. 125, 216, 343
Step-by-step explanation:
The given sequence is 1, 8, 27, 64,.......
Now, we can write
Here, we can see that the first term is cube of 1, second term is cube of 2, third term is cube of 3 and so on.
Therefore, in order to find the 5th, 6th and 7th term of the sequence, we have to take cube of 5, 6 and 7 respectively.
Therefore, the next three terms of the sequence are
The correct option is d which is 125, 216, 343
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we know that
For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.
So
In this problem
If the cubic polynomial function has zeroes at 2, 3, and 5
then
the factors are
Part a) Can any of the roots have multiplicity?
The answer is No
If a cubic polynomial function has three different zeroes
then
the multiplicity of each factor is one
For instance, the cubic polynomial function has the zeroes
each occurring once.
Part b) How can you find a function that has these roots?
To find the cubic polynomial function multiply the factors and equate to zero
so
therefore
the answer Part b) is
the cubic polynomial function is equal to
Answer:
The equation that models this scenario
Step-by-step explanation:
First we convert 50 cent into dollar,
1 cent = dollar
1 cent = 0.01 dollar
50 cent = 0.5 dollar
According to question,
x is the number of 50¢=$0.5 price increases.
b(x) is the revenue generated
He currently charges $3 per book.
i.e. price of book = 3+0.5x
Quantity or average = 38 per day
According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.
i.e. quantity became 38-4x
Revenue = Price × Quantity
The required equation is given by,