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jeyben [28]
2 years ago
9

Rewrite the expression with a perfect square: x^2 - 14x + 11

Mathematics
1 answer:
nikitadnepr [17]2 years ago
4 0

   Factoring  x2-14x+11 

The first term is,  x2  its coefficient is  1 .

The middle term is,  -14x  its coefficient is  -14 .

The last term, "the constant", is  +11 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 11 = 11 

Step-2 : Find two factors of  11  whose sum equals the coefficient of the middle term, which is   -14 .

     -11   +   -1   =   -12     -1   +   -11   =   -12     1   +   11   =   12     11   +   1   =   12

Observation : No two such factors can be found

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In 1966, which is the initial year(t); t = 0, and minimum wage(y), y = $1.25

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The rate of growth to the nearest percent is

\text{Rate of growth =}\frac{y_2-y_1}{t_2-t_1}\times100\begin{gathered} \text{Where y}_2=8.75,t_2=49\text{ years} \\ y_1=\text{ \$1.25},t_1=0 \end{gathered}

Substituting into the formula above, we get

\text{Rate of growth =}\frac{8.75-1.25}{49-0}\times100\text{Rate of growth = }\frac{7.5}{49}\times100=15.31\approx15\text{ \%}

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The solution of the inequality will be x > 2 and x < -2. And the graph is drawn below.

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Inequality is defined as an equation that does not contain an equal sign.

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More about the inequality link is given below.

brainly.com/question/19491153

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