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4 years ago

What is the factorization of the trinomial below 3x^3 - 18x^2 + 24x

Mathematics

2 answers:

Nina [5.8K]4 years ago

5 0

Answer:

Step-by-step explanation:

3x^3 - 18x^2 + 24x = 3x(x²- 6x+4)

Olegator [25]4 years ago

3 0

Answer: 3x(x-2)(x-4)

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In a small town, 60% of the households have a pet dog. If a household has a pet dog, there is a 70% chance that the household al

Marrrta [24]

Using proportions, it is found that there is a 0.54 = 54% probability that a randomly selected household owns a cat.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount.

In this problem, the proportions associated with owning a cat are given by:

70% of 60%(also have a dog).

30% of 40%(do not have a dog).

Hence:

p = 0.7(0.6) + 0.3(0.4) = 0.42 + 0.12 = 0.54.

0.54 = 54% probability that a randomly selected household owns a cat.

More can be learned about proportions at brainly.com/question/24372153

8 0

3 years ago

Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?

ANTONII [103]

Answer:

answer is first option

${x}^{2} -3x - 5 = 0$

wherein, a = 1, b = -3, c = -5

8 0

3 years ago

Read 2 more answers

Micheal took his brother to the movies. Micheal paid regular price, but it cost $2 less for his brother at the child price. It c

iren [92.7K]

It cost $5 for his brother's ticket.

Step-by-step explanation:

Let,

Micheal's ticket price= x

His brother ticket price = y

According to given statement;

x+y=12 Eqn 1

y = x-2 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$x+(x-2)=12\\x+x-2=12\\2x=12+2\\2x=14\\$

Dividing both sides by 2;

$\frac{2x}{2}=\frac{14}{2}\\x=7$

Putting x=7 in Eqn 2

$y=7-2\\y=5$

It cost $5 for his brother's ticket.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

8 0

4 years ago

What is 75.4 in expanded form

Shalnov [3]

Answer: 75.4 =

+ 5

+ 0.4

Step-by-step explanation:

Hope this helps :)

8 0

3 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3 3 , 1)

vovikov84 [41]

Answer with Step-by-step explanation:

We are given that an equation of curve

$x^{\frac{2}{3}}+y^{\frac{2}{3}}=4$

We have to find the equation of tangent line to the given curve at point $(-3\sqrt3,1)$

By using implicit differentiation, differentiate w.r.t x

$\frac{2}{3}x^{-\frac{1}{3}}+\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=0$

Using formula : $\frac{dx^n}{dx}=nx^{n-1}$

$\frac{2}{3}y^{-\frac{1}{3}}\frac{dy}{dx}=-\frac{2}{3}x^{-\frac{1}{3}}$

$\frac{dy}{dx}=\frac{-\frac{2}{3}x^{-\frac{1}{3}}}{\frac{2}{3}y^{-\frac{1}{3}}}$

$\frac{dy}{dx}=-\frac{x^{-\frac{1}{3}}}{y^{-\frac{1}{3}}}$

Substitute the value x= $-3\sqrt3,y=1$

Then, we get

$\frac{dy}{dx}=-\frac{(-3\sqrt3)^{-\frac{1}{3}}}{1}$

$\frac{dy}{dx}=-(-3^{\frac{3}{2}})^{-\frac{1}{3}}=-\frac{1}{-(3)^{\frac{3}{2}\times \frac{1}{3}}}=\frac{1}{\sqrt3}$

Slope of tangent=m= $\frac{1}{\sqrt3}$

Equation of tangent line with slope m and passing through the point $(x_1,y_1)$ is given by

$y-y_1=m(x-x_1)$

Substitute the values then we get

The equation of tangent line is given by

$y-1=\frac{1}{\sqrt3}(x+3\sqrt3)$

$y-1=\frac{x}{\sqrt3}+3$

$y=\frac{x}{\sqrt3}+3+1$

$y=\frac{x}{\sqrt3}+4$

This is required equation of tangent line to the given curve at given point.

8 0

4 years ago