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Vinvika [58]
3 years ago
6

10. How many three-topping pizzas can be ordered from the list of toppings below? Did you calculate the number of permutations o

r the number of combinations to get your answer?
Why did you make this choice?
Pizza Toppings
sausage
pepperoni
meatball
onions
olives
spinach
pineapple
ham
green peppers
mushrooms
bacon
hot peppers
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Step-by-step explanation:

Total numbers of pizza toppings = 12

Number of three topping pizzas can be ordered are:

P^{n}_{k}=\frac{n!}{(n-k)!}

where = n = number of elements

k = number of elements choosen

n= 12 , k = 3

\frac{12!}{(12-3)!} =\frac{12\times 11\times 10\times 9!}{9!}= 1,320

We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.

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The graph of a quadratic function is shown on the grade.
goblinko [34]

Answer:

C ( h(x) = x^2 - 6x)

Step-by-step explanation:

Assuming that the function has a slope of 1 (none of the answer choices show a different slope, for all of the coefficients of x^2 are 1) the easiest way to solve this problem would be to find the function for the graph instead of inputting points from the graph into each of the function. (you could do that if you weren't sure.) To get a function from the graph, we first have to find the vertex and enter it into this vertex form function:

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(there are other ways, but finding the vertex and putting the function in vertex form and then simplifying is the easiest way in this situation.) Looking at the graph, we can tell that the vertex of the function is (3, -9). Using the fact that h(x) = (x - a )^2 - b works for the vertex (-a, b), we can conclude that the function is

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This is not an answer! We have to simplify (x - 3)^2 - 9 to answer the question.  By squaring x - 3, we get:

x^2 - 6x + 9 - 9 =

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Therefore, the answer is:

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5 0
3 years ago
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Answer:

4

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