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inna [77]
3 years ago
14

A rain gutter is made from aluminum sheets that

Mathematics
1 answer:
netineya [11]3 years ago
4 0

Answer:

<h3>                7 cm</h3>

Step-by-step explanation:

For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:

h=-b/2a  and k=f(h) the point (h, k) is vertex of the function graph.

It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.

A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28

h = -28/[2•(-2)] = 7

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Let it be x

\boxed{\sf Average=\dfrac{Sum\:of\:terms}{No\:of\:terms}}

\\ \sf\longmapsto \dfrac{72+70+81+99+88+x}{6}=83

\\ \sf\longmapsto \dfrac{410+x}{6}=83

\\ \sf\longmapsto 410+x=498

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\\ \sf\longmapsto x=88

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