Answer: Divide both parts of equation by 25. The answer is 92%
Step-by-step explanation:
The average rate of change of the function is: 3.2.
<h3>What is the Average Rate of Change for a Function?</h3>
Average rate of change =
Given the function, , the average rate of change over the interval of x = 2 to x = 6 would be calculated as shown below:
a = 2
b = 6
f(a) = f(2) = 3.2(2) + 25 = 31.4
f(b) = f(6) = 3.2(6) + 25 = 44.2
Average rate of change = (44.2 - 31.4)/(6 - 2) = 3.2.
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Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
Answer:
Step-by-step explanation:
Answer:
Small candles cost 1 dollar, large candles cost 5 dollars.
Step-by-step explanation:
Let s represent small candles, L represent large candles.
You: 15 = 5s + 2L
Friend: 21 = 6s + 3L
Now you can solve for s and L, the cost of each candle type!
15 = 5s + 2L Multiply this equation by 3 -> 45 = 15s + 6L
21 = 6s + 3L Multiply this equation by 2 -> 42 = 12s + 6L
Now we have equal L's in both equations. Use elimination to get rid of L! Subtract the equations from each other.
45 = 15s + 6L
- 42 = 12s + 6L
------------------------
3 = 3s + 0L
Now solve for s.
3 = 3s
<u>s = 1 dollar</u>
Plug s back in to get L.
15 = 5s + 2L
15 = 5(1) + 2L
15 = 5 + 2L
10 = 2L
<u>L = 5 dollars</u>