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ra1l [238]
3 years ago
11

Determine whether each of these functions is O(x^2 ).

Mathematics
2 answers:
Alex3 years ago
8 0

Answer:

it (a) 100x+1000

Step-by-step explanation:

otez555 [7]3 years ago
3 0

Answer:

  • (a)  no
  • (b)  yes
  • (c)  no
  • (d)  no

Step-by-step explanation:

"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.

For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.

Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.

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lilavasa [31]
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3 years ago
G(x) = 15 – 4x<br> h(x) = x +8<br> Write g(h(x)) as an expression in terms of 2.
Sergeu [11.5K]

For this case we have the following functions:

g (x) = 15-4x\\h (x) = x + 8

We must findg (h (x))when x = 2.

So:

g (h (x)) = 15-4 (x + 8) =

We apply distributive property to the terms within parentheses taking into account that:

- * + = -\\15-4x-32 =

We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

-17-4x

Thus, we have to:

g (h (x)) = - 17-4x

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Equal signs are added and the same sign is placed.

Answer:

g (h (2)) = - 25

3 0
3 years ago
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Answer each of the questions for the following diagram:
sweet [91]

Answer:

1.  Complimentary angles

2.  3x+20 = 10x-15: x = 5

3.  I'm not sure on part 3, sorry.



5 0
3 years ago
342,802 to the nearest hundred thousands
Maksim231197 [3]
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2. Since the number 4 is located in the ten thousands place, it's telling 3 to stay the same 

Stays the Same: 1,2,3,4
Goes Up: 5,6,7,8, etc...

342,802 ⇒ 300,000
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3 years ago
Read 2 more answers
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