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USPshnik [31]
3 years ago
7

Solve for x. 2x^2+12x+11-(x+4)^2

Mathematics
1 answer:
Andru [333]3 years ago
5 0
2x² + 12x + 11 - (x - 4)²
2x² + 12x + 11 - 1(x - 4)²
2x² + 12x + 11 - 1(x - 4)(x - 4)
2x² + 12x + 11 - 1(x(x - 4) - 4(x - 4))
2x² + 12x + 11 - 1(x(x) - x(4) - 4(x) + 4(4))
2x² + 12x + 11 - 1(x² - 4x - 4x + 16)
2x² + 12x + 11 - 1(x² - 8x + 16)
2x² + 12x + 11 + 1(x²) + 1(8x) - 1(16)
2x² + 12x + 11 + x² + 8x - 16
2x² + x² + 12x + 8x + 11 - 16
3x² + 20x - 5
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Direction: Solve the given problems.
MAXImum [283]
<h2>○=> <u>Solution (6)</u> :</h2>

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

=\tt 2 : 3 \:  =  \:  x  : 6

= \tt \frac{2}{3}  =  \frac{x}{6}

=\tt 2 \times 6 = 3 \times x

=\tt 12 = 3x

=\tt x =  \frac{12}{3}

\hookrightarrow\color{plum}\tt \: x = 4

▪︎<u>Therefore, the smaller number = 4</u>

<h2>○=> <u>Solution (7)</u> :</h2>

36 compared to 6 = \tt \frac{36}{6}

Let the number be x.

Which means :

= \tt \frac{36}{6}  =  \frac{x}{3}

=\tt  \frac{36 \div 2}{6 \div 2}  =  \frac{x}{3}

=\tt  \frac{36}{6}  =  \frac{18}{3}

▪︎Therefore, the fractional number \tt \frac{18}{3} is equal to \tt \frac{36}{6}.

<h2>○=> <u>Solution (8)</u> :</h2>

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

=\tt  \frac{24}{6}  =  \frac{x}{8}

=\tt 24 \times 8 = 6 \times x

=\tt 192 = 6x

=\tt x =  \frac{192}{6}

\hookrightarrow \color{plum}\tt x = 32

▪︎Therefore, 32 red roses are there if there are 8 roses.

<h2>○=> <u>Solution (9)</u> :</h2>

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

= \tt \frac{7}{2}  =  \frac{21}{x}

=\tt7 \times x = 2 \times 21

=\tt 7x = 42

=\tt x  =  \frac{42}{7}

\hookrightarrow \color{plum}\tt \: x = 6

▪︎Therefore, 6 adults were there in the plaza.

<h2>○=> <u>Solution (10)</u> :</h2>

Cost of 12 pencils = P60

Cost of 1 pencil :

= \tt \frac{60}{12}

=\tt P5

Thus, the cost of one pencil = P5

Cost of 25 pencils :

= Cost of one pencil × 25

=\tt 5 \times 25

\color{plum}=\tt \: P  \: 125

▪︎Therefore, the cost of 25 pencils = P125

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:if the notebooks cost 3.59 and pens cost 1.49, with x representing the notebooks and y representing the number of pens and an amount of $13, the inequality would be written as 3.59x+1.49y13

Step-by-step explanation:

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