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3 years ago

Let W (a) = a^3- a^2 Find W (2)

Mathematics

1 answer:

grin007 [14]3 years ago

8 0

Answer:

Step-by-step explanation:

plug in 2 for the a variables and you get 4 as the answer.

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The volume (in cubic meters), vvv, of a rectangular prism is given by the expression: v = a^4-2a^2b^2+b^4v=a 4 −2a 2 b 2 +b 4 v,

zhannawk [14.2K]

Answer:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

Step-by-step explanation:

The given expression that represents the volume of the rectangular prism is:

$v = {a}^{4} - 2 {a}^{2} {b}^{2} + {b}^{4}$

We can rewrite this to reveal a perfect square pattern.

$v =( { {a}^{2}) }^{2} - 2 {a}^{2} {b}^{2} + ( {b}^{2})^{2}$

We factor using perfect squares to obtain:

$v = ( {a}^{2} - {b}^{2} )^{2}$

$v = ( {a}^{2} - {b}^{2} )( {a}^{2} - {b}^{2} )$

Volume is three dimensional so we need a third factor different from 1.

We further factor one of the difference of two squares to get:

$v = ( {a}^{2} - {b}^{2})(a - b)(a + b)$

So pick the following unique dimensions from the possible answers:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

6 0

2 years ago

Type this equation in standard form. 3x = 6y + 8

iris [78.8K]

Standard form : Ax + By = C

3x = 6y + 8...subtract 6y from both sides
3x - 6y = 8 <===

3 0

3 years ago

Read 2 more answers

Highest common factor of 72 and 96

Likurg_2 [28]

Answer:

Step-by-step explanation:

Prime Factorise 72:

$72=2*36\\72=2*2*18\\72=2*2*2*9\\72=2*2*2*3*3\\\\72=2^3*3^2$

Prime factorise 96:

$96=2*48\\96=2*2*24\\96=2*2*2*12\\96=2*2*2*2*6\\96=2*2*2*2*2*3\\96=2^5*3$

Multiply the common factors of $2^3*3^2$ and $2^5*3$ :

$2^3*3=24$

4 0

3 years ago

PLEASE HELP DUE TONIGHT

Strike441 [17]

Answer:

x=243

$x = \frac{343}{3}$

$x = \frac{121}{2}$

6 0

3 years ago

Read 2 more answers

I’m so confused can somebody help me

Setler [38]

Answer:

Step-by-step explanation:

"y varies inversely with x" means:

y = k / x

where k is a constant.

When x = 5, y = 10.

10 = k / 5

k = 50

y = 50 / x

When x = 2:

y = 50 / 2

y = 25

6 0

3 years ago