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Thank You!

Thank You!

b + c = 15.

The remainder is 2.

(s,t) = (2,-4/5)

1. f(x) = (2x- 7)/(x + 4)

2. f(x) = (3x + 8)/(2x + 8)

a/b = 8.

The solution is [3/4,11/4).

That is kinda sad.

They're gone.

Most won't come back.

Many people have left this forum.

For what reason, there are many-

And many of which I am uncertain of.

Many do leave, but the most missed are the top people as you mentioned.

When you leave and are inactive for a bit, you are no longer on the leaderboard.

6!=720

If anyone answers this question, please also answer this one:

If anyone answers this question, please also answer this one:

Have you learned Vieta's formula yet? You could really use it here. 

\(\text {root}_1 + \text {root}_2 = 5\\\text {in your situation. Vieta's formula says that this will be equal to} \\-\frac ba \\\text {where }b=-M \text { and } a=x \text { in your case}\)

So this gives us \(-\frac {-M}x = 5 \\\implies \frac Mx = 5 \\\implies \mathbf {M = 5x}\)

So M=5x. 

Try to solve the equation now that you know this.

Message me if you need any more help.👌

\(KLP\) and \(PLM\) form a linear pair, so:

\(KLP + PLM = 180\)

\(3x + PLM = 180\)

\(PLM = 180-3x\)

Same with \(PMN\) and \(PML\), so:

\(PMN + PML = 180\)

\((2x+72) + PML = 180\)

\(PML = 108-2x\)

Since \(PLM\), \(PML\), and \(LPM\) are the angles of the same triangle, their sums must be equal to \(180\). So:

\(PML + PLM + LPM = 180\) 

\((108-2x) + (180-3x) + (x) = 180\)

\(288-4x=180\)

\(-4x = -108\)

\(x = 27\)

the answer is 2007(if that help)

distribute them out:

9(x^2)(y^3)(12)(x^-3)(y^5)(2)(x)(y) =

(9 * 12 * 2)(x^2 * x^-3 * x)(y^3 * y^5 * y) =

(216)(1)(y^9) =

216 * y^9

Let the amount invested in CD's = C

Amount invested in bonds            = C + 50000

Amount invested in stocks             =175000 - (C + 50000) - C

0.06C + 0.026*[C +50000] + 0.117*[175000 - (C + 50000) - C] =10745, solve for C 

C =35,000 dollars - amount invested in CD's

35,000 + 50,000 =85,000 dollars invested in bonds

175,000 - 35,000 - 85,000 =55,000 dollars - invested in stocks.

still incorrect. its "perpendicular"

The perimeter of the rectangle would be:

L + W + L + W = 46

We know the convertion from L to W, so we change that:

(3 + 3W) + W + (3 + 3W) + W = 46

Simplify:

3 + 3 + 8W = 46

8W = 40

W = 5cm

Plug back in to find L:

2(5) + 2L = 46

2L = 36

L = 18cm

m = 15!

15! mod 4125 = 0

n = 12!

12! mod 281600 = 0

n - m =12 - 15 = -3

Factor it out first

Here is a similar question

\(\sqrt{18*50*3}\\ =\sqrt{2*3*3\;*\;2*5*5\;*\;3}\\ =\sqrt{2*2*3*3*5*5\;*\;3}\\ =2*3*5*\sqrt3\\ =30\sqrt3\)

Please let guest do his own one now.