Roger bought some turkey and some roast beef for the soccer club picnic. He said $150 for a total of 20 pounds of meat. the turk
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<u>Answer:</u>
(x - 2) is not a factor of f(x) = 3x^5 - 7x^3 - 11x^2 + 2
<u>Step-by-step explanation:</u>
According to the Remainder Theorem, when a polynomial f(x) is divided by a term (x - r), then the remainder must be f(r).
So first we will divide f(x) by (x - 2) using long division to get:
(3x^5 - 7x^3 - 11x^2 + 2) / (x - 2)
= 3x^4 + (6x^4 - 7x^3 - 11x^2 + 2) / (x-2)
= 3x^4 + 6x^3 + (5x^3-11x^2+2) / (x - 2)
= 3x^4 + 6x^3 + 5x^2 (-x^2 + 2) / (x - 2)
= 3x^4 + 6x^3 + 5x^2 -x -2 - (2) / (x -2)
=
Therefore the remainder is -2.
Now check x = 2 for 3x^5 - 7x^3 - 11x^2 + 2:
3(2)^5 - 7(2)^3 - 11(2)^2 + 2 = -2
The Remainder Factor theorem also states that if (x - r) is a factor of f(x) then f(r) must be 0.
So we found that f(2) = -2, therfore (x - 2) is not a factor of f(x) .
The percentage of people that eat fruits and vegetables and abstain from smoking, but do not partake in physical activity is option d: 10%.
What is the percent in a Venn diagram about?
The common aspect of this Venn diagram shows the percentage that has the respondents or class that is been classified into groups.
For one to be able to calculate the percentage that stands for the amount of food in classified into the groups, we must need to find the sum of group and group . Then subtract that rate from percent.
In the case above, it need no calculation because in the diagram attached, the percentage is shown to be the shaded portion,
Hence, The percentage of people that eat fruits and vegetables and abstain from smoking, but do not partake in physical activity is option d: 10%.
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