All categories

2 years ago

5x^3-7x Factor the expression completely.

Mathematics

1 answer:

DanielleElmas [232]2 years ago

4 0

Answer:

x(5x²-7)

Step-by-step explanation:

5x³-7x

=x(5x²-7)

To prove your answer,let's multiply x by each term in the bracket

=x X 5x²=5x³

x X -7 =-7x

You might be interested in

Johnson’s Hardware randomly selects 125 of its customers and questions them to determine their overall customer satisfaction rat

Sphinxa [80]

Answer:

a. 92%

b. 4425

Step-by-step explanation:

So there are 5000 customers in total, and 100 were completely satisfied, and 15 were satisfied and 10 weren't satisfied a bit. so 100+15 is 115 so 115 people in total were satisfied out of 125 because there were 125, and 115+10 is 125 anyways. So 115/125 is .92, and you can convert that into a percentage, 92% of the 250 customers were satisfied so then 250*5 is 5000, so then just multiply 115 by 5 as well. You get 575. So 575 were satisfied out of the 5000 customers and 5000-575 are the people not satisfied, so 4425.

probably wrong because it doesnt sound right but just try it

4 0

3 years ago

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

3 years ago

Do the rays BA and AB define the same ray? In complete sentences, explain why the two rays are the same or why the two rays are

Deffense [45]

Rays are named according to their endpoints, the first one named is the "starting" endpoint, the second one is the one that will continue on into infinity. Therefore, ray BA has a terminal endpoint at B and goes through point A into infinity. Ray AB has a terminal endpoint at A and goes through point B into infinity. Definitely NOT the same ray.

7 0

3 years ago

"I think of a number, take away 1 and multiply the result by 3."

iogann1982 [59]

Answer:

I got 6.

Step-by-step explanation:

I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.

3 0

3 years ago

Read 2 more answers

In 1863, President Abraham Lincoln gave his famous Gettysburg Address. It starts, “Four score and seven years ago....” Four scor

vichka [17]

Answer: There are 20 years in a score. The year he is talking about is 1776

Step-by-step explanation:

4 0

3 years ago