If s = 24t + 3t2 - t3 what is the relative maximum

When larry drives the 12 miles he must travel to get to work, it usually takes him 30 minutes. on one day he traveled the first

MatroZZZ [7]

=22.3

hope this helps you(:

if not plz let me know

have a good day

-Denis

8 0

3 years ago

Find the missing fraction worksheet 5 1/2 + ? = 7

ehidna [41]

Answer:

1 1/2

Step-by-step explanation:

7-5 1/2 is 1 1/2 so 1 1/2+5 1/2 -7

6 0

3 years ago

How do i solve this question, please help and pls explain a³x - x⁴ + a²x² - ax³

taurus [48]

Answer:

$\huge\boxed{x(a-x)(a+x)^2}$

Step-by-step explanation:

In order to factor this expression, our goal is to write the expression in a way that we can factor out a term.

With the expression $a^3 x - x^4 + a^2 x^2 - ax^3$ , we need to note an exponent rule.

$a^{b+c} = a^b a^c$

We can use this to get each term of this expression to have a term of $x$ so we can factor it out.

Let's look at each term and get it so that we can factor out an x term.

$a^3 x = x a^3$ (Commutative Property)
$x^4 = xx^3$ (Since $x^3 \cdot x^1 = x^4$ )
$a^2 x^2 = a^2 \cdot xx$ (Since $x^2 = x \cdot x$ )
$ax^3 = a \cdot xx^2$ (Since $x^3 = x^2 \cdot x^1$

With this, our equation becomes $(xa^3) - (xx^3) + (xxa^2) - (xx^2a)$ .

We now can factor out the common term x.

$x(a^3 - x^3 + xa^2 - x^2a)$

From here, we can now factor $a^3 - x^3 + xa^2 - x^2 a$

Rearrange the equation: $a^3 +xa^2 - x^3 - x^2a$
Factor out $a^2$ from $a^3 + xa^2$ which comes out to be $a^2(a+x)$
Factor out $-x^2$ from $-x^3 - x^2a$ which comes out to be $-x^2(x+a)$
We now have $a^2(a+x) - x^2(x+a)$
Factor out the common term, $(a+x)$ , which comes out to be $(a+x)(a^2 - x^2)$
Factor $-x^2+a^2$ into $(a+x)(a-x)$

We now have $(a+x) (a+x) (a-x)$ , which is simplified to $(a-x)(a+x)^2$

<h2>Finalizing:</h2>

Since we have just factored $a^3 - x^3 + xa^2 - x^2 a$ and factored x out of $a^3 x - x^4 + a^2 x^2 - ax^3$ in the first couple of steps, we need to have it as a factorization of x.

$x(a-x)(a+x)^2$