Whoops I don't need the partial fraction decomposition.
\(7\times 2 = \underbrace{7+7}_{2 times}=14\\ 7\times 9 = \underbrace{7+....+7}_{9 times}=63\)
Let $x be the original price.
(1- 20%)x = 46
80%x = 46
0.8 x = 46
x = 46/ .8 = 460/8 = 57.5
The original price is $57.5
Do your teacher mean 'Round to 2 decimal places if necessary' ? Because I see that you don't need to do that.
\(-5.9+-8.2\\ = -5.9-8.2\\ = - (5.9 + 8.2)\\ = -14.1\)
That's a question that our calculator can do :D but I do it all by myself.
Let x ft be the width of the rectangle.
P = 2(x+x+6) = 2(2x+6) OR 4(x+3) OR 4x+12 depends on what your teacher wants you to do.
\(4.7 + 1\dfrac{7}{10}\\ = 4.7 + 1.7\\ = 6.4\\ \mbox{OR}\\ = 6\dfrac{2}{5}\)
Thanks to webpages. Now I know that \(L[\sinh t]= \dfrac{1}{s^2-1}\)
\(-7+(-3\dfrac{2}{5})\\ = -7-3\dfrac{2}{5}\\ = -10\dfrac{2}{5}\)
\(8:\dfrac{1}{4}\\ = 32:1\)
And next time use a seperate post to ask your question.