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AleksAgata [21]
3 years ago
11

Which point is NOT correctly placed on this number line?

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
5 0
Answer: Q is incorrect.

Explanation:

P = -24/3
(P = 24 divided by 3 which is 8, so P= -8)

Q = -9/2
(Q = 9 divided by 2 which is 4.5, Q= -4.5)

R= 7/2
(R= 7 divided by 2 which is 3.5, Q= 3.5)

S= 15/3
(S= 15 divided by 3 (= 5), so S= 5)

So... Looking at the number line, Q is actually on the point -3.5 instead of where it should be, -4.5. It is easy to miss at first glance but it counts backwards into the negative numbers.

Therefore point Q is not correctly placed on the number line.

I hope this helps :)
Tom [10]3 years ago
3 0

Answer:

Point R at 7/2

If it is wrong then the other answer is probably Point Q.

I hope I could help.

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<span>f(x)=2x

f(1)=2*1=2

f^2(1)=2*2*1=4

f^3(1) =2*2*2*1=8

1. If you continue this pattern, what do you expect would happen to the numbers as the number of iterations grows?

I expect the numbers continue growing multiplying each time by 2.

Check your result by conducting at least 10 iterations.

f^4(1) = f^3(1) * f(1) = 8*2 = 16

f^(5)(1) = f^4(1) * f(1) = 16 * 2 = 32

f^6 (1) = f^5 (1) * f(1) = 32 * 2 = 64

f^7 (1) = f^6 (1) * f(1) = 64 * 2 = 128

f^8 (1) = f^7 (1) * f(1) = 128 * 2 = 256

f^9 (1) = f^8 (1) * f(1) = 256 * 2 = 512

f^10 (1) = f^9 (1) * f(1) = 512 * 2 = 1024

2. Repeat the process with an initial value of −1. What happens as the number of iterations grows?

f(-1) = 2(-1) = - 2

f^2 (-1) = f(-1) * f(-1) = - 2 * - 2 = 4

f^3 (-1) = f^2 (-1) * f(-1) = 4 * (-2) = - 8

f^4 (-1) = f^3 (-1) * f(-1) = - 8 * (-2) = 16

f^5 (-1) = f^4 (-1) * f(-1) = 16 * (-2) = - 32

As you see the magnitude of the number increases, being multiplied by 2 each time, and the sign is aleternated, negative positive negative positive ...
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