Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1? f(x) = (x – 2i)(x – 3i) f(x) =
2 answers:
Answer:
Step-by-step explanation:
Build a Polynomial Knowing its Roots
If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:
Where a is the leading coefficient.
Note the roots appear with their signs changed in the polynomial.
If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:
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Answer:
Step-by-step explanation:
From the given information:
the mean
= 2300
Standard deviation =
Standard deviation (SD) = 214.4761
TO find:
a)
From the Z-table, since 5.595 is > 3.999
P(x > 3500) = 0.0001
b)
Here, the replacement time for the mean
= 0.25
Replacement time for the Standard deviation
For 115 component, the mean time = (115 × 20)+(114×0.25)
= 2300 + 28.5
= 2328.5
Standard deviation =
=
=
=
=
= 214.482
Now; the required probability:
From the Z-table, since 8.376 is > 3.999
P(x > 4125) = 1 - 0.9999
P(x > 4125) = 0.0001
Given:
The table of values is
Number of Students : 7 14 21 28
Number of Textbooks : 35 70 105 140
To find:
The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.
Solution:
The ratio of number of textbooks to number of students are
All the ratios of the two quantities are proportional and equivalent to the unit rate.
Let y be the number of textbooks and x be the number of students, then
Here, k=5.
Hence the rate of change is constant that is 5.