faultypancake

Thank you

Could you please clarify? Thanks!

That is incorrect.

Using the quadratic formula, \(A = \frac{-1}{3} + \frac{\sqrt{10}}{3}\) and \(B = \frac{-1}{3} - \frac{\sqrt{10}}{3}\). Try to do the rest on your own.

For all the rectangular sides, we have \(4\cdot (8 +10 + 6) = 96\), and for the top and bottom, we have \(2 \cdot 24 = 48\), and finally \(96 + 48 = \boxed{144}\)

A. \(- \dfrac{4}{5}\)

B. Undefined

We have 2 cases, \(5 + 3w \le 2, and -5 - 3w \le 2\)

Starting with the first case \(​​5 + 3w \le 2\) , we can subtract 5 from both sides to get \(3w \le -3\), and then divide by 3 for an answer of \(w \le -1\), keeping in mind 3 is positive so we don't switch the sign.

Now for our second case, \(- 5 - 3w \le 2\), we add five to both sides giving us, \(- 3w \le 7\), now dividing by \(-3\) and making sure we flip the sign, we get, 

\(w \ge - \dfrac{7}{3}\)

But wait, we still have to combine our answers giving us \(\boxed{-\frac{7}{3} \le w \le -1}\)

For all the letters in the 4 letter word you can choose from 7 different letters. If we have 4 slots and 7 choices then we get \(4\cdot 7 = \boxed{28}\)