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o-na [289]
3 years ago
7

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.

Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18

Step-by-step explanation:

We have been given the function

f(x)=-2x^2+4x^3+3x^2+18

From the rational zeros theorem, we have

\text{Possible rational zeros}=\pm\frac{\text{Factors of constant term}}{\text{Factors of leading coefficient}}

From the given function,

Leading coefficient = 2

Factors of 2 are 1,2

Constant term = 18

Factors of constant term = 1, 2, 3, 6, 9, 18

Hence, we have

\text{Possible rational zeros}=\pm\frac{1,2,3,6,9,18}{1,2}\\\\\text{Possible rational zeros}=\pm1,\pm\frac{1}{2},\pm2,\pm3,\pm\frac{3}{2},\pm6,\pm9,\pm\frac{9}{2},\pm18

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Golfer had the lowest number of strokes per hole is <u>Alicia </u> = 4.

<u>Step-by-step explanation:</u>

We have , Three different golfers played a different number of holes today. Rory played 999 holes and had a total of 424242 strokes. Alicia played 181818 holes and had a total of 797979 strokes. Rickie played 272727 holes and had a total of 123123123 strokes. We have to find  , Which golfer had the lowest number of strokes per hole :

<u>Rory:</u>

Number of strokes per hole = \frac{424242}{999}  = 425

<u>Alicia:</u>

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<u>Rickie:</u>

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∴ Golfer had the lowest number of strokes per hole is <u>Alicia </u> = 4.

8 0
3 years ago
4x-3+x=7x-3 solve x and show work easy to undertand please. Really appreciate it ^^
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Answer: x = 0

Step-by-step explanation:

4x − 3 + x = 7x − 3

Step 1: Simplify both sides of the equation.

4x − 3 + x = 7x − 3

4x + −3 + x = 7x + −3

(4x + x) + (−3) = 7x − 3(Combine Like Terms)

5x + −3 = 7x − 3

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Step 2: Subtract 7x from both sides.

5x − 3 − 7x = 7x − 3 − 7x

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Step 3: Add 3 to both sides.

−2x − 3 + 3 = −3 + 3

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x = 0

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