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frutty [35]
3 years ago
14

Find the first four iterates of the function f(x) = 7x + 2 if X0= 3.

Mathematics
2 answers:
n200080 [17]3 years ago
6 0

Answer:

The correct answer is B.

Step-by-step explanation:

White raven [17]3 years ago
5 0
It’s b 23,163,1143,8003
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I think I know this much so far for A (but I could be wrong):
Eduardwww [97]
Part A. You have the correct first and second derivative.

---------------------------------------------------------------------

Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.

-------------------------------------------------------------

Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out

To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h  ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0. 
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well. 
6 0
3 years ago
Michael uses a uniform probability model for an experiment using a deck of 45 cards. There are 15 blue card, 15 red cards, and 1
vampirchik [111]

Answer:

<em>P</em> = 2/3

Step-by-step explanation:

45 cards in all

15 blue

15 red

15 green

To figure out the probability of red and blue together, add red and blue.

15 + 15 = 30

Since the total is 45, this is how many 30 will be out of.

30 out of 45 = 30/45

Simplify 30/45 by dividing each side by 15

30 ÷ 15 = 2

45 ÷ 15 = 3

30/45 = 2/3

6 0
2 years ago
Radium-226 is a metal with a half-life of 1600 years. If you start with 1 kilogram of radium-226, how much will remain after 20,
erica [24]
Ending Amount = Beginning Amount / 2^n 
where 'n' = # of half lives
n = 20,000 / 1,600 = 12.5 half-lives

Ending Amount = 1 kg / 2^12.5
Ending Amount = 1 kg / <span> <span> <span> 5,792.6
</span></span></span>Ending Amount = <span> <span> <span> 0.00017263 kilograms = </span></span></span><span>0.17263 grams


</span>
6 0
3 years ago
In triangle ABC, m&lt;A = 30° and m&lt;B = 50°. What is the measure of Angle C?<br><br>​
Nataliya [291]

Answer:

100°

Step-by-step explanation:

The sum of the angles in a triangle is 180°

180°-30°-50°=100°

8 0
2 years ago
What is the simplified answer to this? thank you :)<br><br><img src="https://tex.z-dn.net/?f=9%20%5Csqrt%7B245%7D%20" id="TexFor
Svetradugi [14.3K]

Answer:

63 \sqrt[ \: ]{5}

Step-by-step explanation:

9 \sqrt{245}

9 \sqrt{ {7}^{2}  \times 5 }

9 \times 7 \sqrt{5}

63 \sqrt{5}

6 0
3 years ago
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