Answer:
2. Eunju is right
3.
is a factor of
.
Step-by-step explanation:
<u>Polynomial Remainder Theorem</u>
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).
As a consequence, if a polynomial is divisible by x-a, f(a)=0.
Part 1:
Let's make:

To find out if x+b is a factor of f(x), we find f(-b):

Operating:

The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).
Part 2:
We must find out if
is a factor of
without using long division or synthetic division.
We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:

Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.
Let's make:

Find f(-2):


Find f(-3):



Since both f(-2) and f(-3) are zero,
is a factor of
.
Answer:
x=4
Step-by-step explanation:
The reliability of a two-component product if the components are in parallel is 0.99.
In this question,
The probability of failure-free operation of a system with several parallel elements is always higher than that of the best element in the system. Reliability can be increased if the same function is done by two or more elements arranged in parallel.
A system contains two components that are arranged in parallel, they are 0.95 and 0.80.
Therefore the system reliability can be calculated as follows
⇒ 1 - ( 1 - 0.95 ) × ( 1 - 0.80 )
⇒ 1 - (0.05 × 0.20)
⇒ 1 - 0.01
⇒ 0.99
Hence we can conclude that the reliability of a two-component product if the components are in parallel is 0.99.
Learn more about reliability of components here
brainly.com/question/20314118
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Answer:
Answer:
true
Step-by-step explanation:
4/7 = 8/9
= 4*9/7*8
= 36/56
= 2*2*3*3/2*2*2*7
= 9/14
proved
Step-by-step explanation:
Answer: -1/6
Step-by-step explanation:
slope= change of y over change of x
3-4/ 5--1=
-1/6
Hope this helps!