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guapka [62]
3 years ago
8

Which expression is equivalent to 3x/5 a: 15x/20 b: 12x/20 c: 12x/5

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer: 12x/20

Step-by-step explanation:

Looking at 3x/5

The expression equivalent is 12x/20

The reason is this

12x/20

If you divide the 12x by 4

It will give you 3x

If you divide 20 by 4

It will give you 5

Therefore, you will still have 3x/5

Another way to look at it is this

3x/5= 0.6x

12x/20= 0.6x

Therefore, the final answer is b which is 12x/20

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If f(z) = z2 + c is iterated with an initial value of 2 + 3i and z1 = -1 + 15i, find c. a. 7 - 4i c. 4 - 3i b. 7 + 4i d. 4 + 3i
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Answer: choice D) 4 + 3i

=======================================

Plug in the initial value z = 2 + 3i. Simplify.

f(z) = z^2 + c

f(2+3i) = (2+3i)^2 + c

f(2+3i) = (2+3i)*(2+3i) + c

f(2+3i) = 2(2+3i) + 3i(2+3i) + c

f(2+3i) = 4 + 6i + 6i + 9i^2 + c

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f(2+3i) = -5 + 12i + c

The initial z value is z = 2+3i, which when plugged into f(z) leads to the term z1 = -1+15i. The input is 2+3i and the output is -1+15i

Set f(2+3i) equal to the output z1 = -1+15i and solve for c

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c = -1 + 15i + 5 - 12i

c = 4 + 3i

So if c = 4 + 3i, then f(z) = z^2 + c will have f(2+3i) = -1 + 15i

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