3 years ago

A theater has 384 seats. Each row has 16 seats. What is the value of x in the area model?

Mathematics

1 answer:

yawa3891 [41]3 years ago

3 0

Answer:

x=4

Step-by-step explanation: 64/16=4

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Step-by-step explanation:

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Michael has a home-based business putting on children's parties. He charges $45 to design the party and then $7.50 per child . W

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How do I even start this? And how to i order the equation to solve

Kobotan [32]

$f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}$

This is because

$h(x)=\sqrt x$

$g(x)=x-1$

$\implies g(h(x))=\sqrt x-1$

(that is, replace any instance of x in the definition of g with √x )

and

$f(x)=x^4+4$

$\implies f(\sqrt x-1)=(\sqrt x-1)^4+4$

(replace any x in f with √x - 1)

Also acceptable:

$(\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4$

$=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}$

(assuming x is not negative)

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