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3 years ago

What is the product? 2x(x – 4)

Mathematics

2 answers:

sashaice [31]3 years ago

6 0

Keywords:

<em>Product, factors, polynomial, distributive property </em>

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: $a (b + c) = ab + ac.$

So:

$2x (x - 4) = 2x * x-2x * 4\\2x (x - 4) = 2x ^ 2-8x$

Thus, the product of $2x (x - 4)$ is: $2x ^ 2-8x$

Answer:

The product of $2x (x - 4)$ is: $2x ^ 2-8x$

Anton [14]3 years ago

5 0

Answer:

The product of $2x(x- 4)=2x^2-8x$

Step-by-step explanation:

Given : Expression $2x(x-4)$

To find : The product of the expression

Solution :

To find the product of the expression we apply distributive property in this

Distributive property $a(b+c)=ab+ac$

Where a= 2x, b=x, c=-4

$2x(x- 4)=2x(x)+2x(-4)$

$2x(x-4)=2x^2-8x$

Therefore, The product of $2x(x-4)=2x^2-8x$

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Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below.

olasank [31]

<h2>Greetings!</h2>

Answer:

Step-by-step explanation:

Y intercept:

Simply substitute all the x values with 0:

When x = 0:

3(0) - 2y = 18

Move the - 2y over to the other side making it a +2y:

0 = 18 + 2y

Move the +18 over to the other side making it a -18:

-18 = 2y

Divide both sides by 2:

$\frac{-18}{2} = \frac{2y}{2}$

-9 = y

So y intercept is:

X - intercept:

Simply substitute all the Y's with 0:

3x - 3(0) = 18

3x = 18

Divide both sides by 3:

$\frac{3x}{3} = \frac{18}{3}$

x = 6

So the X intercept is:

This means that your guess of B is correct.

<h2>Hope this helps! </h2>

8 0

3 years ago

Read 2 more answers

52:PLEASE HELP Find the slope of the line that passes through the points (8,2) and (9,7)

Katena32 [7]

Answer:

5/1

Step-by-step explanation:it goes up 5 and over 1

5 0

2 years ago

Read 2 more answers

Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z

kompoz [17]

$f_{X,Y,Z}(x,y,z)=\begin{cases}Ce^{-(0.5x+0.2y+0.1z)}&\text{for }x\ge0,y\ge0,z\ge0\\0&\text{otherwise}\end{cases}$

is a proper joint density function if, over its support, $f$ is non-negative and the integral of $f$ is 1. The first condition is easily met as long as $C\ge0$ . To meet the second condition, we require

$\displaystyle\int_0^\infty\int_0^\infty\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=100C=1\implies \boxed{C=0.01}$

b. Find the marginal joint density of $X$ and $Y$ by integrating the joint density with respect to $z$ :

$f_{X,Y}(x,y)=\displaystyle\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dz=0.01e^{-(0.5x+0.2y)}\int_0^\infty e^{-0.1z}\,\mathrm dz$

$\implies f_{X,Y}(x,y)=\begin{cases}0.1e^{-(0.5x+0.2y)}&\text{for }x\ge0,y\ge0\\0&\text{otherwise}\end{cases}$

Then

$\displaystyle P(X\le1.375,Y\le1.5)=\int_0^{1.5}\int_0^{1.375}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy$

$\approx\boxed{0.12886}$

c. This probability can be found by simply integrating the joint density:

$\displaystyle P(X\le1.375,Y\le1.5,Z\le1)=\int_0^1\int_0^{1.5}\int_0^{1.375}f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz$

$\approx\boxed{0.012262}$

7 0

2 years ago

ALGEBRA 1, SEMESTER 2

SIZIF [17.4K]

So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

$f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}$

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is $\frac{y_2-y_1}{x_2-x_1}$ . Using what we have, we can solve it as such: