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Ivenika [448]
3 years ago
11

Use the Rational Root Theorem to list all possible rational roots for the equation.

Mathematics
2 answers:
Anna71 [15]3 years ago
8 0
Q^n + k^(n-1).... + P = 0
Like: 3x^3+9x-6=0

All rational roots will be rational factors of P/Q such that:

Q = 3 Factors: 1,3
P = -6 Factors: [+/-] 1,2,3,6

Possible Rational Roots: [1/1,1/3,2/1,2/3,3/1,3/3,6/1,6/3] = [+/-] 1,1/3,2,2/3,3,6

Now you just test them in the equation itself and where the input makes the function equal 0, you have a root.

For this polynomial, no roots are rational, so when you test it you'll find that it must only contain irrational roots and may only be solved by other means.
Mariana [72]3 years ago
6 0

\bf \stackrel{q}{3}x^3+9x-\stackrel{p}{6}~\hspace{5em}\stackrel{\textit{factors of \boxed{p}}}{3,2,1,6}\qquad \stackrel{\textit{factors of \boxed{q}}}{3,1}\qquad \qquad \pm\cfrac{p}{q} \\\\\\ \textit{therefore, using the \underline{rational root test}}


\bf \begin{cases} \pm \cfrac{3}{3}\implies &\pm 1\\\\ \pm \cfrac{3}{1}\implies &\pm 3\\\\ \end{cases}\quad \begin{cases} \pm \cfrac{2}{3}\\\\ \pm \cfrac{2}{1}\implies \pm 2 \end{cases}\quad \begin{cases} \pm \cfrac{1}{3}\\\\ \pm \cfrac{1}{1}\implies \pm 1 \end{cases}\quad \begin{cases} \pm \cfrac{6}{3}\implies &\pm 2\\\\ \pm \cfrac{6}{1}\implies &\pm 6 \end{cases}

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Live Fund receive \bold{\$2500 A} it they sold half thier holding in Marks Brothers.

<u>Solution:</u>

Given: Sale price of Live Fund holding = 5000 dollar

To find: Amount that Live Fund will get if they sell half of their holding in Marks Brothers.

Assume the total number of shares held by Live Fund in Marks Brothers as A

Therfore, half the holdings (or half the number of shares) of Live Fund will be \frac{A}{2}.

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3 years ago
The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what
julia-pushkina [17]

Answer:

=11.155 in³

Step-by-step explanation:

Given data:

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Height = 3.5 inches

Diameter= 0.5 inches

To find the volume of a cone we will apply the formula:

Volume of a cone = 1/3 πr²h

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V= 33.66/3

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Volume of bubble gum = 4/3 π*r³

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V= 4/3*3.14*(0.5/2)³

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