All categories

2 years ago

Factorise fully 4x-x³

Mathematics

1 answer:

lianna [129]2 years ago

8 0

Answer:

$x(2 - x)(2 + x)$

You might be interested in

The Venn diagram displays the number of employees at United Accounting Firm, in hundreds, who travel to work by a given method a

Svetlanka [38]

Answer:

Step-by-step explanation:

if 3500 employees work at the firm, the you minus the total amount of employees taking either a car or the train from 3500 (3500-2300 = 1200)

3 0

2 years ago

According to science, Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose yo

zalisa [80]

It begins in 30000 bc

5 0

2 years ago

Read 2 more answers

Which equation has the same soultions as x^2+6×-7=0

blagie [28]

$x^2+6x-7=0 \\ a=1 \\ b= 6 \\ c=-7 \\ \\ \boxed{\boxed{\Delta=b^2-4ac}} \\ \\ \Delta=6^2-4*1*(-7) \\ \Delta=36-(-28) \\ \Delta=64 \\ \Delta\ \textgreater \ 0 \Rightarrow \text{we have 2 solutions :} X_1 \ and X_2 \\ \\ \boxed{X_1= \frac{-b- \sqrt{\Delta} }{2a} } \Rightarrow X_1= \frac{-6-8}{2}=-7 \\ \\ \boxed{X_2= \frac{-b+ \sqrt{\Delta} }{2a} } \Rightarrow X_2= \frac{-6+8}{2} =1$

4 0

2 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

2 years ago

In a swimming class, 2/5 of the participants are girls. there are 24 boys in the class. find the total number of participants in

jeyben [28]

30 because 2/5 are girls so 3/5 are boys and 24/3 +8 so 1/5=8 so 8*5 + 40 kids

Hope this helped

please give me a thank you

8 0

2 years ago

Factorise fully 4x-x³​

Factorise fully 4x-x³