Answer:
y = 5x^2+10x +14
Step-by-step explanation:
y = 5(x+1)^2+9
= 5(x^2+2x+1)+9
= 5x^2+10x +14
Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
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If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
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There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
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nCk = n!/(k!(n-k)!)
1. -7-(-2)
= -7+2= -5
2. 5-(-3)
= 5+3=8
3. -6-4
= -6+(-4)= -10
4. -3-(-3)
= -3+3= 0
Answer:
C
Step-by-step explanation:
X-18 = 2 (X-25)
x-18 = 2x - 50
-18 = x - 50
32 = x
check
32-18 = 14 = 2(32-25) = 2*7
32 is the answer