All categories

3 years ago

Which of the following represents the factored form of f(x) = x3 − 81x?

2 answers:

8 0

F(x) = x^3 - 81x
f(x) = x(x^2) + x(81)
f(x) = x(x^2 - 81)
f(x) = x(x^2 + 9x - 9x - 81)
f(x) = x(x(x) + x(9) - 9(x) - 9(9))
f(x) = x(x(x + 9) - 9(x + 9))
f(x) = x(x - 9)(x + 9)

The answer is C.

sladkih [1.3K]3 years ago

3 0

You're original equation has a -81, so the factored form will have to have a positive and negative multiplying one another to achieve that...

f(x) = x(x + 9)(x - 9)

You might be interested in

If a fair coin is tossed, the probability that it will land heads up is ½. Olivia tosses a coin 4 times, and it lands on heads 4

disa [49]

Answer:

Step-by-step explanation:

The tosses before that were all by chance, the probability is still the same. Nothing changes.

6 0

3 years ago

Y = f(x) = 2x<br><br><br> Answer as a decimal

skad [1K]

Answer:

insufficient data

Step-by-step explanation:

please give complete question

4 0

1 year ago

Find the reciprocal of the following: a.) 2/18 b.)7/8 c.) 30/36

matrenka [14]

Answer:

a) 9

b) 8/7

c) 36/30

Step-by-step explanation:

Reciprocal is when the denominator and numerator "flip."

comment if you have any more questions :)

7 0

2 years ago

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 15m/s. The ball's height h (in meters) aft

lakkis [162]

$\bf \stackrel{\textit{ball's height}~\hfill }{\stackrel{\downarrow }{h}=1+15t-5t^2}\implies \stackrel{\textit{ball's height}~\hfill }{\stackrel{\downarrow }{6}=1+15t-5t^2}\implies 0=-5+15t-5t^2 \\\\\\ ~~~~~~~~~~~~\textit{using the quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{5}t^2\stackrel{\stackrel{b}{\downarrow }}{-15}t\stackrel{\stackrel{c}{\downarrow }}{+5}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}$

$\bf t=\cfrac{-(-15)\pm\sqrt{(-15)^2-4(5)(5)}}{2(5)}\implies t=\cfrac{15\pm\sqrt{225-100}}{10} \\\\\\ t=\cfrac{15\pm\sqrt{125}}{10}\implies t=\cfrac{15\pm\sqrt{5^2 \cdot 5}}{10}\implies t=\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\pm ~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\sqrt{5}}{\underset{2}{~~\begin{matrix} 10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}$

$\bf t=\cfrac{3\pm \sqrt{5}}{2}\implies t= \begin{cases} \frac{3+ \sqrt{5}}{2} \approx 2.618\\\\ \frac{3- \sqrt{5}}{2}\approx 0.382 \end{cases}$

8 0

2 years ago

Find the amount of sap the maple syrup producer would have collected from each tree if the total amount (5 gallons) was redistri

zhuklara [117]

Answer:

Step-by-step explanation:

You cannot solve the problem be cause you dont know how many trees there are.

3 0

3 years ago