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I know how to compute determinants its not very difficult but I get confused when there are weird notations thrown in. So I'm not exactly sure on this question

computer det(A-λI) for this linear...

Neat solution. I was thinking somewhere along the lines of induction but ended up prooving it by just using some of the properties for symetric and transpose matrices. I handed it in so when I get it...

The question I have is:

Let A be an n x n symmetric matrix. Show that A^k is symmetric if k is any nonnegative integer.

I know this is true but I'm a little confused in how to show it. I can...

you need to use a method such as substitution. Basically solve for x in the first equation
x = (4-3y)/2 and now plug this x value into the x in the second equation and solve for y. once u got y u...

That's incorrect. I'm assuming you made a typo but its supposed to be

21-14x

Your welcome

OK so this is where you left of
2x - xy = t +5

now you take out the x on the left side so it looks like
x(2-y) = t + 5

now divide by 2-y both sides so you get
x = (t+5)/(2-y)

No problem glad to help :)

You simplified your first equation wrong its supposed to be
20x - 30y = 213

as for your second equation the simplification should be
-16x + y = 10

sorry can't do step-by-step because firstly we can't and won't do your homework and secondly you didn't even put any attempt into it.

But I can start you off. First simply the 2 equations by...

Well acceleration due to gravity for free fall varies depending where you are obviously. The more precise number is 9.8 but I guess textbooks use 10. You answer is reasonable assuming that air...

Lol you didn't get to that part I told u that part and you didn't copy it down correctly. Its supposed to be:
(2x-1)^2 + (3x-1)^2 = 5

to solve for x just expandthe brackets and simplify and...

Area of triangle is
A= (bxh)/2 so it will be
A = (2x-1)(3x-1)/2

Now to solve this we must know what x is. To get x we use Pythagorean theorem which is
a^2 + b^2 = c^2
so you just plug in...

See the problem with this question is that I didn't take into consideration all non prime numbers. Just when I saw this question it looked like mathematical induction proof because I thought oh if...

why are you doing +1? You say (k+1)^4+1? But should it not be (k+1)^4+4??

Also I just see where I misunderstood the problem thanks for pointing it out. See I thought u had to prove that it will...

just out of curiousity how did u get 4k^3 + 6k^2 +4k +1 because I think that's wrong

Either way you know that 4k^3 is composite because 4 times an integer is composite, you know 6k^2 and 4k are...

ebaines yes I guess your reasoning works too. Remember there's more than one way to solve every problem. Also have you done much mathematical induction because in mathematical induction you must make...

Ah but the real proof lies in mathematical induction! At least that's the best way to proof this! Look at the previous post where you posted something similar on how to do mathematical induction. Try...

Why should he be banned? He's actually just making sure people follow the rules. Judging by his post count it would be really stupid to ban him because it seems like he does a lot for this site.

I had no idea that this was a timed quiz! Or a quiz at all. Just thought it was a homework question and lots of people when starting factoring have trouble with it so offcourse as many people do try...

Lol I like asterisk_man answer better but I guess for understanding purposes capuchin answer is appropriate

Off course but lets not be so hasty and hypocritical because in fact most people that post questions here all post there homework/assignment questions. We are here to help people and not scare them...

When you square a square root it just gets rid of the square root so square root of 32 squared is simply 32

Ok I totally agree with asterisk_man about your question being wrong. But just for fun I will prove what asterisk_man said about if n is an even positive integer than it will be prime. Except I'll...

very simple! First multiply both sides by 4n so you get
3 = -32n

Then simply solve for n by dividing both sides by -32

In general for these types of problems all you have to do is isolate for...

Show us what you did and we will tell you exactly where you went wrong :)

Nice pattern. All it is are multiples of 13 written backwards. For instance
13 - 31 written backwards
26 - 62 written backwards
39 - 92 written backwards
52 - 25 written backwards

And so on...

There isn't just one formula for tension. Physics isn't easy and every problem is different. So it all depends on what the question states. Know Newtons second law very well and then you'll be able...

And how is that different from what I and pytrik said?

use the equation a = v/t where a = acceleration, v = velocity and t = time.
so just plug in your numbers
5 = 12/t

and now just solve for t

When you have these kind of questions all you have to do is come up with some sort of equation. So let x represent are number. The question says half a number so then we know its x/2 and then it says...

Yes that is the answer I said. I was pretty sure I was right but again awesome5 said he is doing his honours in math so that's why I wanted someone to confirm my answer. Also I guess when you do a...

if your going to just give out the answer then at least show how you got it.

for the first question the equation looks like so
908/n = 9.08
now just simply solve for n
n = 908/9.08
n = 100
...

Something looks wrong there. I don't want to embarrass myself here because your majoring in math from what you said but I believe that your answer is wrong and it should be f(x) = 8 + 3x. Can anyone...

basically what he said. In case you don't know how to rewrite it in the form of quadratic formula which you should but if you don't you just need to bring everything to the left side and make it...

lol ScottGem if he/she wanted us to do there homework for them they would post the functions of f(x) and g(x). Considering they didn't they just want to know the steps to go about solving this...

hmmm they might mean the whole equation square rooted + 4 = 3 Not sure. But either way to get rid of the square root just square each number and then solve for x by bringing all your terms to one...

hmmm are you sure question 1 is given all the information?

for question 2 you have a simple formula using newtons second law fnet = ma. So you have 5 - mgsin37 = ma now you just plug in your...

Hmmm that looks like it was stolen from my post. Aside from actually giving out the answers. See now most likely people will just use the answer and not care how its done and won't learn. That's why...

off course you can use your common sense and its very obvious. But some people have trouble seeing simple things like this so if you insist on plugging in numbers into equations and you feel more...

I do agree that it should and most likely was covered in class especially because this elementary school algebra where they would never give you homework without teaching it to you. But some students...

well I'm not going to draw the graphs considering it will take a while for me to do it on the computer and I'm not too sure how to draw graphs on the computer too well. But anyway I can tell you an...

OK firstly what does 26 mean and who are you?

I'm not a fraction fan so eliminate the fractions of both equations first. I'm sure u can do that yourself. I'll do the first one for you so without the fractions the equation should look like:

3y...

I don't understand your first question where u say "1 third(9b-36) = -9" Did you mean to say 1/3*(9b-36) = -9? Anyhow for your second equation all you do is expand the brackets and then simplify and...

Like always this question has been asked a dozen times. Maybe we should make a sticky of physics formulas? (MODS INPUT?) Anyhow do you need speed or velocity. Only difference between speed and...

I'm not 100% sure about which word your teacher is looking for but what we call it is undefined.

off course there's a better way then guess and check. Make an equation. (2(95000) + x)/3 = 89000 now just solve for x which is the price of the third house

This question is asked so many times on this forum.

https://www.askmehelpdesk.com/math-sciences/physical-science-138585.html

And
...

you need to be a bit more specific about the question. I guess u might be looking for this v = d/t where v is your speed, d is your distance (not displacement) and t is your time.