Zx = 5g(2x - c) Apply the Distributive Property
zx = 10gx - 5cg Subtract 10gx from each side
zx - 10gx = -5cg Factor x out
x (z - 10g) = -5cg Divide by (z - 10g)
x = 
<span>A table representing a function is provided below.
x 1 2 3 4 5
y 1 16 64 256 1,024
According to the data in the table, from x = 2, the value of y can be represented as
which is equivalent to
This indicates an exponential function.
Thus, the </span><span>most accurate description of the function's graph is: "The graph initially appears flat but ascends sharply."</span>
# of guests waitstaff gratuity
10 18
20 36
30 54
40 72
50 90
<span>If the gratuity changes directly with the number of guests, which formula outlines the connection between the gratuity, t, and the number of guests, g?
t = 1.8g t = g/18 g = 1.8t g = t/18
</span>
18/10 = 1.8
36/20 = 1.8
54/30 = 1.8
direct variation: <span>t = 1.8g</span>
Set G consists of: G={4, 8, 12, 16, 20, 24, 28, 32, 36,...} Set F represents the perfect squares: F={1, 4, 9, 16, 25, 36, 49, 64, 81, 100...} Within set F, the numbers 4, 16, 36, 64, and 100 are multiples of 4. The result is: {4, 16, 36, 64, 100}.
Answer:
It could either be 455 or 680, based on assumptions.
Step-by-step explanation:
Assuming the three choices are distinct, we can calculate...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to create the pizza.
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In the case where two or more of the toppings may be identical, this would lead to...
2(15C2) + 15C1 = 2·105 + 15 = 225
additional combinations, resulting in a grand total of...
455 + 225 = 680
unique pizza varieties.
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There is a multiplication factor of 2 for the two-topping selections, since it allows for variations like double anchovies and tomatoes or double tomatoes and anchovies when the topping choices are anchovies and tomatoes.
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nCk = n!/(k!(n-k)!)
