A jacket used to cost $54. After a 40% discount, what is the new cost of the jacket?

Mathematics

1 answer:

8090 [49]3 years ago

6 0

Im pretty sure its $32.4

Step-by-step explanation:

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What is the vertex form of <br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%206x%20%2B%2011" id="TexFormula1" titl

gavmur [86]

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
y=a(x- h)^2+ k\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})$

so, x²-6x + 11, let's do some grouping first

( x² - 6x ) +11

( x² - 6x + b² ) +11

now, what's our mystery fellow "b"? well, let's recall that the middle term in a perfect square trinomial is, (a - b)² = a² - 2ab + b², so the middle term is namely just 2 times the other two fellows, without the exponent.

now, here is 6x, so then $\bf 2\cdot x\cdot b=6x\implies b=\cfrac{6x}{2x}\implies b=3$

that means, that our fellow is 3 then, so we'll add 3², however, let's keep in mind that, all we're doing is, borrowing from our very good friend Mr Zero, 0.

so if we add 3², we have to also subtract 3², therefore,

$\bf (x^2-6x+3^2-3^2)+11\implies (x^2-6x+3^2)+11-3^2
\\\\\\
(x-3)^2+11-9\implies (x-3)^2+2\qquad vertex~(3,2)$

4 0

3 years ago

How many notebooks do you think it would take to make a stack that is 5 feet high?

aev [14]

Answer:

There are total 30 books in the 5 feet high stack of books.

Step-by-step explanation:

The complete question is

Given, Each note book is 2 inches thick, How many notebooks do you think it would take to make a stack that is 5 feet high

Solution

Thickness of each book $= \frac{2}{12} = \frac{1}{6}$