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3 years ago

Write 3x^3-21x^2+36x in factored form

2 answers:

6 0

Factor 3x3⁢x out of 3x3−21x2+36x3⁢x3-21⁢x2+36⁢x.
3x(x2−7x+12)3⁢x⁢x2-7⁢x+12Factor.
3x(x−4)(x−3)

Agata [3.3K]3 years ago

3 0

Factor each
3x^3=3*x*x*x
21x^2=3*7*x*x
36x=2*2*3*3*x

factor out 3x
3x(x^2-7x+12)
what 2 numbers multiply to get 12 and add to get -7?
-3 and -4
3x(x-3)(x-4)

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Answer:

i) $x\leq 51$

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3 years ago

Seth traveled 1 mile in 57.1 seconds. About how fast does Seth travel I. Miles per hour?

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4 0

4 years ago

suppose that a certain basketball athlete earned $23,000,000 to play 80 games, each last 48 min. how much did the athlete earn p

Anit [1.1K]

He earns 23 000 000 per 80 games for 48min
Per game he earns
$23000000 \div 8 0 = 782500$
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If he played 2/3 of the time he played 32min which means he earned...

$782500 \div 32 = 24453.125$
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5 0

3 years ago

Read 2 more answers

Let Y be a random variable with a density function given by

Neporo4naja [7]

From the given density function we find the distribution function,

$F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y$

(a)

$F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)$

$\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1$

$\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}$

(b)

$F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y$

$\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2$

$\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}$

(c)

$F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})$

$\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3$

$\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}$

5 0

3 years ago