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ollegr [7]
1 year ago
13

When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than One-third the total number o

f guests. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Mathematics
1 answer:
makvit [3.9K]1 year ago
7 1
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation with its solution set.
a2 − 9a + 14 = 0
a2 + 9a + 14 = 0
a2 + 3a − 10 = 0
a2 + 5a − 14 = 0
a2 − 5a − 14 = 0
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According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –
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We have to identify the function which has the same set of potential rational roots as the function g(x)= 3x^5-2x^4+9x^3-x^2+12.

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

So, the rational roots are given by \frac{p}{q} which are as:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Consider the first function given in part A.

f(x) = 3x^5-2x^4-9x^3+x^2-12

Here also, Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

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\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Therefore, this equation has same rational roots of the given function.

Option A is the correct answer.

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