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kogti [31]
3 years ago
15

Some students reported how many textbooks they have. The dot plot shows the data collected: A dot plot is titled Students Textbo

oks and labeled Number of Textbooks. The values on the horizontal line are 2, 3, 4, 5, and 6. There is 1 dot above 2, 2 dots above 3, 4 dots above 4, 5 dots above 5, and 4 dots above 6. What do the dots above the number 6 indicate? There are exactly 6 students with 4 textbooks. There are exactly 4 students with 6 textbooks. There are exactly 6 students with less than 4 textbooks. There are exactly 4 students with less than 6 textbooks.
Mathematics
1 answer:
REY [17]3 years ago
4 0
There are 6 students with 4 textbooks. The horizontal line represents the number of of students and the vertical line represents the amount of textbooks 

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<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25
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\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's Solve ~

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 20x + 25

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 10x + 10x + 25

\qquad \sf  \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) (2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) {}^{2}

or

\sf{\qquad \sf  \dashrightarrow \: 4x² + 20x + 25 }

\sf{\qquad \sf  \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

\sf{\qquad \sf  \dashrightarrow \: (2x + 5)²}

I hope it was helpful ~

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