A young wizard got 16 baby dragons for her birthday. Then more than half of the baby dragons

Mathematics

2 answers:

SashulF [63]2 years ago

5 0

Answer:

x < 8

Step-by-step explanation:

Lynna [10]2 years ago

3 0

The greatest amount of baby dragons the wizard could have is 7.

half of 16 is 8 (16/2=8)
so if at least more than half of the dragons flew away then that would mean at least 9 of them flew away
16-9=7 to find the amount of dragons left

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Select the correct answer from each drop-down menu.

Anit [1.1K]

Answer:

3^x
9, 15, 33, 87, 249
(4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

18 -6 = 12, 54 -18 = 36, 162 -54 = 108

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x.

b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

9, 15, 33, 87, 249

c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

(x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

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