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AfilCa [17]
3 years ago
6

Which of the following statements about the graph is true?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0
 First of all, a graph has a minimum if it is shaped like a u (a quadratic). A graph has a maximum if it is shaped like an upside-down u. The vertex of the graph is a minimum or maximum based on the graph's shape.
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All the cubes root of <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%20%2B%20i%7D%20" id="TexFormula1" title=" \sqrt{3 + i
melisa1 [442]

If you're looking for the cube roots of √(3 + <em>i </em>), you first have to decide what you mean by the square root √(…), since 3 + <em>i</em> is complex and therefore √(3 + <em>i </em>) is multi-valued. There are 2 choices, but I'll stick with 1 of them.

First write 3 + <em>i</em> in polar form:

3 + <em>i</em> = √(3² + 1²) exp(<em>i</em> arctan(1/3)) = √10 exp(<em>i</em> arctan(1/3))

Then the 2 possible square roots are

• √(3 + <em>i</em> ) = ∜10 exp(<em>i</em> arctan(1/3)/2)

• √(3 + <em>i</em> ) = ∜10 exp(<em>i</em> (arctan(1/3)/2 + <em>π</em>))

and I'll take the one with the smaller argument,

√(3 + <em>i</em> ) = ∜10 exp(<em>i</em> arctan(1/3)/2)

Then the 3 cube roots of √(3 + <em>i</em> ) are

• ∛(√(3 + <em>i</em> )) = ¹²√10 exp(<em>i</em> arctan(1/3)/6)

• ∛(√(3 + <em>i</em> )) = ¹²√10 exp(<em>i</em> (arctan(1/3)/6 + <em>π</em>/3))

• ∛(√(3 + <em>i</em> )) = ¹²√10 exp(<em>i</em> (arctan(1/3)/6 + 2<em>π</em>/3))

On the off-chance you meant to ask about the cube roots of 3 + <em>i</em>, and not √(3 + <em>i </em>), then these would be

• ∛(3 + <em>i</em> ) = ⁶√10 exp(<em>i</em> arctan(1/3)/3)

• ∛(3 + <em>i</em> ) = ⁶√10 exp(<em>i</em> (arctan(1/3)/3 + 2<em>π</em>/3))

• ∛(3 + <em>i</em> ) = ⁶√10 exp(<em>i</em> (arctan(1/3)/6 + 4<em>π</em>/3))

3 0
2 years ago
In which of the following solutions would you multiply both sides of the equation by n?
Elanso [62]

Step-by-step explanation:

please what's on option 3

8 0
3 years ago
ILL BRAINLIEST YOU IF YOU GET IT RIGHT PLEASE HELP
soldi70 [24.7K]
The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.

In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.

Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.

1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23

2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17

3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15

Hope it help!
7 0
3 years ago
What is 3.56×10 to the -5th power in standard form
Marina86 [1]
356000
i am honestly not sure if that is standard form?? but i assume it is?? i hope this helps

3 0
3 years ago
If a set of data has mean 60 and variance 9 then it's coefficient of variation is
loris [4]
Coefficient of variation is calculated by dividing the standard deviation by the mean multiplied by 100. Given a data set with mean equal to 60 and variance equal to 9, we can calculate the coefficient of variation by finding the value of the standard deviation which is the square root of the variance. so standard deviation is equal to square root of 9 which is 3. Then, the coefficient of variation is equal to 3/60*100 which is equal to 5%.
4 0
3 years ago
Read 2 more answers
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