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:
54minutes
Step-by-step explanation:
Let the time taken to clean up be t
Let the number of people cleaning be n
If the time it takes to clean up after an anniversary party varies inversely as the number of people cleaning then;
t = k/n
k is the constant of proportionality
If 3 people work together to clean, and took them 90 minutes, this means
at t = 90, n=3
Substitute
90 = k/3
k = 3×90
k = 270
To et the time it will take 5people to clean, the will say;
t =k/n
t =270/5
t = 54 minutes
Hence it will take 5 people 54minues to clean
Answer:
B. 45°
Step-by-step explanation:
recall that Thales' theorem states that the diameter of a circle always subtends a right angle on any point on the circle.
what this means is that if ABC is the diameter of the circle, then AD and DC always meet at the circumference at 90°
in this case, if ∠ADC is 90° (by thales theorem), and AD = DC, then we have an isoceles triangle.
This also means that the base angles of the isoceles triangle, ∠DAC and ∠ACD must be equal.
recall that all interior angles of a triangle add up to 180°
180° = ∠ADC + ∠DAC +∠ACD
180° = ∠ADC + 2 ∠ACD
180° = 90° + 2 ∠ACD
2 ∠ACD = 90°
∠ACD = 45°
Answer:
7.8
Step-by-step explanation:
Unit price = $3.84/12 = $0.32
