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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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Question 2 options:

{(0, -4), (1, -2), (5, 6), (6, 5)}

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3 years ago
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Usimov [2.4K]

Answer:

Slope is positive for all x, so always increasing

Step-by-step explanation:

Increasing/decreasing depends on the slope of the function, which is f'

f'(x) = 9x² + 18x + 25

If f'(x) > 0 for all x, then his claim is correct (increasing for all x)

If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect

f'(x) is a quadratic function.

9x² + 18x + 25

9(x² + 2x) + 25

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3 years ago
Expression.is of what number? Write a division expression to match this question.
nirvana33 [79]

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For this problem we just need to do the following division:

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1 year ago
A cab company charges $0.80 per mile plus $2 for tolls. Melissa has at most $16 to spend on her cab fare. Write and solve an ine
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Answer:

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Answer:

sss

Step-by-step explanation:

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