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Zinaida [17]
3 years ago
11

According to the rational root theorem what are all potential rational roots of F(x)=9x^4-2x^2-3x+4

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0

Answer:

The answer is

( +  - )(1)( \frac{1}{3} )( \frac{1}{9} )(2)( \frac{2}{3} )( \frac{2}{9} )(4)( \frac{4}{3} )( \frac{4}{9} )

Explanation:

Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and

and the constant term (the one without a variable) must be divisible by the numerator.

In f(x), the ratio is

\frac{4}{9}

because 4 is the constant and 9 is leading term

So our factors are

\frac{4}{9}  =  \frac{ +  - (1)(2)(4)}{ +  - (1)(3)(9)}

If

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There are 7 girls and 3 boys in a class. Two students are to be
horsena [70]

Answer:

7/15 is the probability of selecting a boy and a girl.

Step-by-step explanation:

Combination = nCr = n!/((n-r)!r!)

((7C1)(3C1))/(10C2)

= (7*3)/45

=21/45 = 7/15 the probability of selecting a boy and a girl.  

8 0
3 years ago
a bottle of juice holds 3/8 gallon when it is full. if 1/3 of the juice has been poured out, how much juice is left in the bottl
taurus [48]
Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.

8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.

1/3 * 8/8 = 8/24

3/8 * 3/3 = 9/24

There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.

Hope that helped.
4 0
4 years ago
If mSW = (12x-5)°, mTV= (2x+7)°,and m angle TUV = (6x-19)°, find mSW
svet-max [94.6K]

Given:

Consider the below figure attached with this question.

m(arc(SW)) = (12x-5)°, m(arc(TV))= (2x+7)°,and measure of angle TUV = (6x-19)°.

To find:

The m(arc SW).

Solution:

Intersecting secant theorem: If two secants intersect outside the circle, then the angle on the intersection is half of the difference of the larger subtended arc and smaller subtended arc.

Using Intersecting secant theorem, we get

m\angle TUV=\dfrac{1}{2}(m(arc(SW))-m(arc(TV)))

6x-19=\dfrac{1}{2}((12x-5)-(2x+7))

6x-19=\dfrac{1}{2}(12x-5-2x-7)

6x-19=\dfrac{1}{2}(10x-12)

Multiply both sides by 2.

2(6x-19)=10x-12

12x-38=10x-12

12x-10x=38-12

2x=26

Divide both sides by 2.

x=13

Now, the measure of arc SW is:

m(arc(SW))=(12x-5)^\circ

m(arc(SW))=(12(13)-5)^\circ

m(arc(SW))=(156-5)^\circ

m(arc(SW))=151^\circ

Therefore, the measure of arc SW is 151 degrees.

7 0
3 years ago
I don’t know how to properly write this
aalyn [17]
I think it’s b not 100% sure but I think
8 0
4 years ago
Read 2 more answers
Explain why <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B89%7D%20" id="TexFormula1" title=" \sqrt{89} " alt=" \sqrt{89} " alig
sattari [20]
\sqrt{81}=9 \\ &#10;\sqrt{100}=10

The square root of 81 is 9, the square root of 100 is 10. 89 is between 81 and 100, therefore the square root of 89 must be between 9 and 10.
8 0
3 years ago
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