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adoni [48]
2 years ago
8

Which graph is a one-to-one function?

Mathematics
1 answer:
Pani-rosa [81]2 years ago
3 0

option B is a one-to-one function

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Step-by-step explanation:

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What is 1 2/5 × 2<br>what is 1/4 × 1​
Mrrafil [7]

Answer:

1).  2\frac{4}{5}

2).  \frac{1}{4}

Step-by-step explanation:

1). 1\frac{2}{5}*2

Convert mixed number to improper fraction: a\frac{b}{c} =\frac{a*c+b}{c}

1\frac{x2}{5} =\frac{1*5+2}{5} =\frac{7}{5}

\frac{7}{5} *2

\frac{7}{5} *2

Apply the fraction rule: \frac{a}{b}*c =\frac{a*c}{b}

\frac{7}{5} *2=\frac{7*2}{5}

=\frac{7*2}{5}

Multiply the numbers: 7*2=14

=\frac{14}{5}

Convert improper fractions to mixed numbers: \frac{14}{5}

\frac{14}{5}

Write the problem in long division format:

\begin{matrix}5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Divide 14 by 5 to get 2

\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Multiply the quotient digit (2) by the divisor 5

\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Subtract 10 from 14

\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace14}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

The solution for long division of \frac{14}{5} is 2 with a remainder of 4

2\quad \mathrm{Remainder}\quad \:4

Convert to mixed number: Quotient\frac{Remainder}{Divisor}

\frac{14}{5} =2\frac{4}{5}

=2\frac{4}{5}

2\frac{4}{5}

Convert \frac{4}{5} to decimal using long division

\frac{4}{5}

Divide 4 by 5 to get 0

\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Multiply the quotient digit (0) by the divisor 5

\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Subtract 0 from 4

\begin{matrix}\space\space\space\space\emptyspace0\space\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}

Add a decimal place and a zero to the dividend

Bring down the zero from the dividend

\begin{matrix}\space\space\space\space\emptyspace0.\space\space\space\space\space\space\space\space\space\space\space\\ 5\overline{|\smallspace4.0}\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace0}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\emptyspace4\emptyspace0\space\space\space\space\space\space\space\space\space\space\end{matrix}

Divide 40 by 5 to get 8

\frac{40}{5} =8

The solution for long division of \frac{4}{5} is 0.8

=2+0.8

Add 2+0.8=2.8

2). \frac{1}{4} *1

Multiply \frac{1}{4} *1=\frac{1}{4}

=\frac{1}{4}

Anything multiplied by 1 is the same number.

Divide the the numbers \frac{1}{4} to get decimal form

Divide 1 by 4

\frac{1}{4} =0.25

=0.25

8 0
3 years ago
Read 2 more answers
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