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3 years ago

Factor the polynomial: -24a^2b^3c^4-36a^4b^3c^2

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

Answer:

-12b^3a^2c^2\left(2c^2+3a^2)

Step-by-step explanation:

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Jim is 3 times as old as his cousin Anthony the difference in their age is 18.How old is Jim?

IgorC [24]

Let's create expressions and equations to model this situation. Let Anthony's age be a.

"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18

How old is Jim?

Let's solve the above equation for a to first find Anthony's age.

3a - a = 18
2a = 18
a = 9

Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.

3a
3(9)
27

Answer:
Jim is 27 years old.

6 0

3 years ago

Tell whether x and y show direct variation. Explain your reasoning. x=y+2

Mashutka [201]

Answer:

It does not show variation

Step-by-step explanation:

Given

$x = y + 2$

Required

Determine if there's direct variation between x and y

The general form of direct variation is:

$y = kx$

Make y the subject of formula in the given parameters;

$x = y + 2$

$y = x - 2$

Compare $y = x - 2$ to $y = kx$

<em>Since they are not of the same form, then the given equation do not show direct variation</em>

6 0

3 years ago

Calculate the Laplace transforms of the following from the definition. 1. y = t^2. y = t^3

Likurg_2 [28]

Answer:

1) $L(y)=\frac{2}{s^{3}}$

2) $L(y)=\frac{6}{s^{4}}$

Step-by-step explanation:

To find : Calculate the Laplace transforms of the following from the definition ?

Solution :

We know that,

Laplace transforms of $t^n$ is given by,

$L(t^n)=\frac{n!}{s^{n+1}}$

1) $y=t^2$

Laplace of y,

$L(y)=L(t^2)$ here n=2

$L(y)=\frac{2!}{s^{2+1}}$

$L(y)=\frac{2}{s^{3}}$

2) $y=t^3$

Laplace of y,

$L(y)=L(t^3)$ here n=3

$L(y)=\frac{3!}{s^{3+1}}$

$L(y)=\frac{3\times 2}{s^{4}}$

$L(y)=\frac{6}{s^{4}}$

5 0

3 years ago

A tree that is 40 feet tall casts a 30-foot shadow. At the same time, another tree casts a 20-foot shadow. How tall is the secon

Olegator [25]

So the tree is 40 ft and then the shadow is 30 so then do 40 -30 = 10 ft difference so then for the second tree do 20 + 10 = 30 ft because the 10 ft difference so the answer is 30 ft tall

7 0

3 years ago

Read 2 more answers

Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Than

9966 [12]

Answer: There is a strong association between age and weight.

Step-by-step explanation:

The correlation coefficient (r) is used to describe the relationship between two variables.

$-1\leq r\leq1$

If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.

Here, Variables: Age and weight.

correlation coefficient = 0.512

That means, there is a strong association between age and weight.

8 0

3 years ago