Answer:
I-
Step-by-step explanation:
) 5)8%2=80)4)<em>88</em><em>=</em><em>5</em><em>=</em><em>5</em><em>=</em><em>88</em><em>=</em><em><u>9</u></em><em><u>=</u></em><em><u>5</u></em><em><u>)</u></em><em><u>5</u></em><em><u>=</u></em>
<h2>
Question:</h2>
Find k if (x+1) is a factor of 2x³ + kx² + 1
<h2>
Answer:</h2>
k = 1
<h2>
Step-by-step explanation:</h2>
The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
<em>This is because;</em>
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
<em><u>From the question</u></em>
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
The Least Common Multiple of 6 and 44 is 132.
Answer:
-0.924
Step-by-step explanation:
The magnitude of the correlation coefficient is the square root of the variation.
|r| = √0.854
|r| = 0.924
The sign of the correlation coefficient is the same as the slope of the line of best fit. In this case, it's negative.
r = -0.924
It would be C, because there are 700,000 people and with A, B, and D there are more people than there are the original population.
