Simplfy : (8(x-1)^2)/ (6(x^2-1))

What is the volume (in cubic centimeters) of a cube with 4cm sides?

vova2212 [387]

I think it is 64 just multiply 4 times 4 times 4 because of the sides and to find volume you need to multiply the sides and the height so it should be 64.

8 0

3 years ago

The linear function that is represented by which table has the same slope as the graph? On a coordinate plane, a line goes throu

lions [1.4K]

Answer:

c

step-by-step explanation:

ok the slope of the line is 2

and so by using the formula y1+y2/x1+x2 we can get the ration of each table

the first table is -9+-7/-25+-21

this can be simplified to -16/-46 which is about 0.347

using this formula for each table you can find the answer .

im

too lazy to do the rest

6 0

3 years ago

Read 2 more answers

Solve -2/3x > 8 or -2/3x < 4.

vekshin1

<h3>Answer: Choice C</h3>

{x | x < -12 or x > -6}

=========================================================

Explanation:

Let's solve the first inequality for x.

(-2/3)x > 8

-2x > 8*3

-2x > 24

x < 24/(-2)

x < -12

The inequality sign flips when we divide both sides by a negative value.

Let's do the same for the second inequality.

(-2/3)x < 4

-2x < 4*3

-2x < 12

x > 12/(-2)

x > -6

The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.

Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.

8 0

2 years ago

Find the common ratio of the geometric sequence 0.1, 1, 10, 100, ... Write your answer as an integer or fraction in simplest for

aivan3 [116]

The answer is 10 because it’s multiplies by 10

4 0

2 years ago

Find the average value of f over region

SVETLANKA909090 [29]

$D$ is a right triangle with base length 1 and height 8, so the area of $D$ is $\dfrac12(1)(8)=4$ .

The average value of $f(x,y)$ over $D$ is given by the ratio

$\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}$

The denominator is just the area of $D$ , which we already know. The average value is then simplified to

$\displaystyle\frac74\iint_Dxy\,\mathrm dA$

In the $x,y$ -plane, we can describe the region $D$ as all points $(x,y)$ that lie between the lines $y=0$ and $y=8x$ (the lines which coincide with the triangle's base and hypotenuse, respectively), taking $0\le x\le1$ . So, the integral is given by, and evaluates to,

$\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx$
$=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx$
$=14x^4\bigg|_{x=0}^{x=1}$
$=14$

3 0

2 years ago