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Thepotemich [5.8K]
2 years ago
15

A pizza place has pizzas in 2 different sizes, with 8 different flavors for the crust, and 8 different toppings.

Mathematics
1 answer:
mamaluj [8]2 years ago
5 0

Use multiplication:

2\text{ sizes}*8\text{ flavors}*8\text{ toppings}=\large\boxed{128\text{ pizzas}}

This question is basically the same as the other question of yours that I answered, so the explanation is very similar:

You can imagine the possibilities as leaves on a tree. Your tree has 2 large branches to represent the two possible sizes. Each of those branch off into 8 smaller branches, each representing a crust flavor. Each one of the smaller branches has 8 leaves to represent a different topping. Each leaf is a combination of a size, a crust flavor, and a topping, so it represents a complete pizza. Your job is to calculate the number of leaves.

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Answer:

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Step-by-step explanation:

Given that f (x) = x^{2}+6x+5 and g(x)=\frac{1}{x}+1 are the functions.

To find (f\circ g)(x) with the given two functions. ie., to find the composite function of f(x) and g(x) which is denoted by (f\circ g)(x)

(f\circ g)(x)=f(g(x))

                 =f(\frac{1}{x}+1)

                  =({\frac{1}{x}+1})^{2}+6\times ({\frac{1}{x}+1})+5

                   =\frac{1}{x^{2}}+\frac{2}{x}+1+\frac{6}{x}+6+5

                     =\frac{1}{x^{2}}+\frac{8}{x}+12

Therefore (f\circ g)(x)=\frac{1}{x^{2}}+\frac{8}{x}+12

Therefore the composite function of f(x) and g(x) is  (f\circ g)(x)=\frac{1}{x^{2}}+\frac{8}{x}+12

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