CoolStuffYT

(x+8)(x^2+6)

There isn't really a clear way of solving cubic equations. You can use any math calculator online, but if you're on paper, test some values. You can find factors of 48, then try from there.

You are very welcome!

:P

I assume you mean \(\sqrt{p+a+r}=k\).

Whenever there is a square root symbol, you want to square the equation. 

\((\sqrt{p+a+r})^2=k^2\)

This becomes \(p+a+r=k^2\), because the square root symbol is lifted.

Now we can add and subtract values on each side of the equation to find a. I think you can do that.

You are very welcome!

:P

Something to know before we begin:

If a dot is CLOSED, then the inequality is an EQUAL inequality (\(\geq\) or \(\leq\)).

If a dot is OPEN, then the inequality is a NON-EQUAL inequality (\(<\) or \(>\)).

A good way to remember this is that you need to write more for both CLOSED dots and EQUAL inequalities.

Now, with this info, we can begin.

\(x\leq -7\) means that x is less than or equal to 7.

Since the inequality is indicating "less than," the arrow should point to the left side.

We can eliminate B and C.

Now, with the tips at the top of this response, we can find that the inequality is an EQUAL inequality, so the dot should be closed.

Therefore, the answer is A.

For the second one, since x is between two numbers, we know that it does not go on forever. We can eliminate B and C.

Can you solve it from there?

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:P

Let's assume that the letter starts with E, because that's what we're looking for.

There are four other letters, S, L, E, and P.

Since none of them are the same letter, we can simply do 4! and get 24.

NOTE:

Let's say the word was SEEEP.

Then the letters would be S, E, E, and P.

This would make 4!/2!, because we are repeating E twice.

You are very welcome!

:P

You can simply find x and calculate

Eventually, this equals 7.

However, there is a faster way. Can you find out yourself?

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:P

Hmmmm...

If m...

Scientific research:

Quick calculations are always good to know, along with what you brought up. You should also be comfortable working with variables.

Now, I am not a scientist, but these are just my guesses.

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:P

b) The area is B*H (base times height)

The base is 5 (from (0, 0) to (5, 0))

The height is 3 (because 3-0 = 3)

Therefore the area is 15 un^2.

You are very welcome!

:P