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 answer would be 6:30 pm
Step-by-step explanation:
if you left work at 5:15 and it took 1 1/4 min to get home
you would
find 1/4 witch would be 15 min because 60/4= 15
then add 1:15 to 5:15
1:15 + 5:15 = 6:30 pm
you arrived home at 6:30 pm
Answer:
The margin of error will be "0.65". A further explanation is provided below.
Step-by-step explanation:
The given values are:
n = 343
x = 110
At 99% confidence level,
%


then,


or,


Now,
The point estimate will be:
⇒ 
⇒ 
⇒ 
or,
⇒ 
⇒
The margin of error will be:
⇒ 
On substituting the above values, we get
⇒ 
⇒ 
⇒ 
hence,
⇒ 
⇒ 
⇒ 
There are 44 total small egg cartons, 264 / 6 = 44
There are 176 total medium egg cartons, (264 / 3) x 2 = 176
There are 44 total big egg cartons, 176 + 44 = 220
264 - 220 = 44
<u>Note: (So you don't get confused) Above is just the number of egg cartons, below is the number of eggs.</u>
There is a total of 352 eggs in the small egg cartons, 44 x 8 = 352
There is a total of 2112 eggs in the medium egg cartons, 176 x 12 = 2112
There is a total of 792 eggs in the large egg cartons, 44 x 18 = 792
Hope this Helps! :)
Answer:
7850 square units
Step-by-step explanation:
According to the question;
- Circumference of a circle is 314 units;
We are required to find the area of the circle;
- First, we need to ask ourselves how we get the perimeter of a circle;
Perimeter of a circle = pi × D or 2 pi r
Therefore;
Rearranging the formula;
D = Perimeter ÷ pi
Taking pi to be 3.14
Then;
Diameter = 314 units ÷ 3.14
= 100 units
But, radius = Diameter ÷ 2
= 100 units ÷ 2
= 50 units
We also need to know how we calculate the area of a circle;
Area of a circle = pi×r²
Therefore;
Taking pi as 3.14
Then, Area = 3.14 × 50²
= 7850 square units
Thus, the area of the circle is 7850 square units