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Nikitich [7]
3 years ago
11

A bag contains:

Mathematics
2 answers:
hoa [83]3 years ago
4 0
J. 35 times

self explanatory
schepotkina [342]3 years ago
3 0

Answer:

j.35 times

Step-by-step explanation:

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Answer:

A. \left \lfloor \frac{10}{2.25} \right \rfloor

Step-by-step explanation:

We are given,

The cost of one book = $2.25

Since, it takes $2.25 to buy 1 book.

The, for $10, we can get \frac{1}{2.25}\times 10 i.e. \frac{10}{2.25} = 4.44

Since, number of books cannot be in decimals.

So, the closest integer to 4.44 is 4.

Hence, we can buy 4 books from $10.

Now, according to the options:

A. \left \lfloor \frac{10}{2.25} \right \rfloor = \left \lfloor 4.44\right \rfloor = 4

B. \left \lceil \frac{10}{2.25} \right \rceil = \left \lceil 4.44 \right \rceil=5

C. \frac{10}{\left \lceil 2.25\right \rceil} =\frac{10}{3} =0.33

D. \frac{10}{\left \lfloor 2.25\right \rfloor} = \frac{10}{2} = 5

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3 years ago
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Answer:

\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)

Step-by-step explanation:

y=x^2-7x+4\\\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}\\\mathrm{The\:parabola\:params\:are:}\\a=1,\:b=-7,\:c=4\\x_v=-\frac{b}{2a}\\x_v=-\frac{\left(-7\right)}{2\cdot \:1}\\\mathrm{Simplify}\\x_v=\frac{7}{2}\\\mathrm{Plug\:in}\:\:x_v=\frac{7}{2}\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}\\y_v=\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4\\

\mathrm{Simplify\:}\left(\frac{7}{2}\right)^2-7\cdot \frac{7}{2}+4:\quad -\frac{33}{4}\\y_v=-\frac{33}{4}\\Therefore\:the\:parabola\:vertex\:is\\\left(\frac{7}{2},\:-\frac{33}{4}\right)\\\mathrm{If}\:a0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}\\a=1\\\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)

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Look at this equation it should help.

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