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The number of factors is 120.

There are 288 numbers.

The probability that you forget your office keys or your wallet is 20 + 30 - 8 = 42%.

So now we subtract 42% from 100%.

58% is the answer. Hope this helps.

If you let x go infinity, then you get 0 = A + B.

If you let x = 0, then you get 7/2 = A/(-2) + B.

The solution to this system is then A = -7/3, B = 7/3, so (A,B) = (-7/3,7/3).

We are trying to find n

We could make a right triangle and use the Pythagorean equation \(a^2+b^2=c^2\) to find out the hypotenuse in this case is n

For this \(a\) will be 8 and \(b\) will be 12

\(8^2+12^2=c^2\)

\(64+144=c^2\)

\(208 = c^2\)

\(c = \sqrt{208}\)

Its supposed to be 82

The distance is 21 feet.

By the Pythagorean Theorem, the left side is 17, so the perimeter of the trapezoid is 79.

x does not equal 1 or 2 though. I am confused. Can you explain?

See https://web2.0calc.com/questions/help-plz_1821

You need at least 18 gallons of paint.

Letting x go to 2, we find that A + 2B = 4.  Letting x go to -1, we find 2A - B = 3.  Therefore, A = 2 and B = -1.

Could you explain how you got that answer?

The three-digit number x is 856.

The third root is 11/3.

The third root is 19/10.

The probability is 7/10.

See https://web2.0calc.com/questions/plz-help-counting

If the roots of the equation 3x^2 - 6x + 5 = 0 are a and b, then find the quadratic whose roots are a + b and 2/(a + b).

x^2-2x+5/3=0

a+b=2

ab=5/3

x^2-(2+1)x+2=0

x^2-3x+2=0

Yay!

I came back today to see if the OP might have a follow up question.  What happened to my little visual representation?  The alignment is messed up.  Granted, I just used the space bar to align things but when I posted this yesterday it was perfect, the B was over the vertical line, so was the C.  If they hadn't been right, I'd have edited it so they were.  And what's that line way out there in space to the right.  I didn't put that there. 

_.

The answer is 14