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AnnyKZ [126]
3 years ago
15

More points!! Please solve 22 and 23

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0
For the table, we can count the circles that appear in each step of the fractal. The center is a single circle and is step 0. Step 1 sees 4 circles grow off of that one circle. Step 2 sees 4 circles grow off of each of these circles. Therefore the table should be:

Step 0 : 1 circle
Step 1 : 4 circles
Step 2 : 16 circles
Step 3:  64 circles

Using this table, we can solve the second part. This function is exponential growth and each step is a multiple of 4. Therefore, the function is f(x) = 4^x.
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Simplifying

15 + -5(4x + -7) = 50


Reorder the terms:

15 + -5(-7 + 4x) = 50

15 + (-7 * -5 + 4x * -5) = 50

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Combine like terms: 15 + 35 = 50

50 + -20x = 50


Add '-50' to each side of the equation.

50 + -50 + -20x = 50 + -50


Combine like terms: 50 + -50 = 0

0 + -20x = 50 + -50

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Combine like terms: 50 + -50 = 0

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Solving

-20x = 0


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Divide each side by '-20'.

x = 0.0


Simplifying

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