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2 years ago

What is the possible rational roots for this polynomial 6x³+5x²+10x+3=0

Mathematics

1 answer:

8090 [49]2 years ago

3 0

Answer:

See below.

Step-by-step explanation:

Using the Rational Roots Theorem:

Factors of 3: 1, 3 ( = p).

Factors of 6: 1,2,3,6 ( = q).

Possible real roots are a 1 or 3 from p / q = +/- 1/1, +/- 3/1 , +/-1/2, +/- 1/3 , +/- 1/6, +/- 3/2.

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Which ordered pairs make the open sentence true?

Hitman42 [59]

Answer:

-2,1

Step-by-step explanation:

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2 years ago

F(x)=x^2-3x-2 is shifted 4 units right. The result is g(x). What is g(x)?

-BARSIC- [3]

Answer:

$\boxed{\mathrm{C.}\:\: g(x)=(x-4)^2-3(x-4)-2}$

Step-by-step explanation:

The function is shifted 4 units right.

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$f(x)=x^2-3x-2$

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2 years ago

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What number replaces the ◊?

Alika [10]

First lets simplify both side of this equation.
2 + 7 + ♢ = 3 + 6 + 5
Subtract 9 from both sides of the equation.
9 + ♢ = 14
Answer (C)
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3 years ago

Convert: 106 mi = ________ km

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x=106/0.621=170.66
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3 years ago

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A rectangular pool is to be built on a lot that measures 20 m by 12 m. A wooden deck of uniform width, equal to the area of the

frutty [35]

The length and breadth(width) of the pool are

$l\approx15.7m\text{ and }b\approx7.7m$

Let

$l=\text{length of the side of the pool}\\b=\text{breadth of the pool side}\\w=\text{the width of the strip of deck surrounding the pool}$

From the question, we can build the following relationships

$l+2w=20\\b+2w=12$

subtracting to eliminate $w$ (we do not even need it!)

$l-b=8\\b=l-8$

we can also build another relationship from the question. Since the area of the strip equals the area of the pool:

$lb+lb=2lb=20\times 12\\lb=120$

We have two unknowns, $l$ and $b$ . Eliminate $b$

$lb=120\\l(l-8)=120\\l^2-8l-120=0$

If we solve the quadratic equation for $l$ , we get

$l=4+2\sqrt{34}\approx 15.7m$

and

$b=l-8\\b=(4+2\sqrt{34})-8\\b=2\sqrt{34}-4\approx7.7m$

The length and breadth(width) of the pool are

$l\approx15.7m\text{ and }b\approx7.7m$

Learn more about area here: brainly.com/question/1447350

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1 year ago