If the perimeter of the top of desk is 54 inches the length of the desk is

1 answer:

4 0

Formula: $2width+2length=perimeter$

$length=15inches$

$width=?$

$Perimeter=54inches$

$2*15=30$ (There are two sides for the length)

$54-30=24$

$24/2=12$ (There are two sides for the width)

The width of the desk is 15 inches

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-Geekhawk

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Use the rational root theorem to list all possible rational roots for the equation.

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Answer:

The possible rational roots are

$\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}$

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are $1, 2, 3,6$

The factors of leading coefficient are $1,3,$

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

$\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}$