3 years ago

Which ordered pairs could describe the locations of vertex y and vertex z

Mathematics

1 answer:

forsale [732]3 years ago

3 0

i beleive the answer is C but i can not make any promises

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Find the first three iterates of the function f(z) = z2 + c with a value of c = 2 - 3i and an initial value of z0 = 1 + 2i.

Artist 52 [7]

Answer:

Step-by-step explanation:

We have: (I rewrote the function)

$f(z_n)={z_{n-1}} ^2+c$

Given that:

$\displaystyle c=2-3i \text{ and } z_0 = 1 + 2 i$

The first iterate will be:

$\displaystyle \begin{aligned} f(z_1)&=(z_0)^2+c \\ &=(1+2i)^2+(2-3i) \\ &= (1+4i+4i^2)+(2-3i) \\ &=1+4i-4+2-3i \\ &=-1+i \end{aligned}$

The second iterate will be:

$\begin{aligned}f(z_2) &=(z_1)^2+c\\ &=(-1+i)^2+(2-3i) \\&= (1-2i+i^2)+(2-3i) \\&=1-2i-1+2-3i \\&=2-5i \end{aligned}$

And the third iterate will be:

$\begin{aligned} f(z_3)&=(z_2)^2+c\\ &=(2-5i)^2+(2-3i) \\ &=(4-20i+25i^2)+(2-3i) \\ &=4-20i-25+2-3i \\ &=-19-23i \end{aligned}$

Hence, our answer is C.

3 0

2 years ago

One week, Jake and Sally collected canned goods for a food drive. On Monday, Jake collected 4 boxes and Sally collected 2 boxes.

MrMuchimi

Jake:
Mon- 4 boxes
End of the week- 3x the boxes on Mon
3 x 4 = 12

Sally:
Mon- 2 boxes
End of the week- 4x the boxes on Mon
4 x 2 = 8

12 + 8 = 20 boxes total

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3 years ago

Which inequality represents this statement?

iren [92.7K]

Answer: the last one!! $n\leq 5$

Step-by-step explanation:

When there is a line under it means no more than!

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3/20

The drawing will help

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