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dsp73
3 years ago
7

Is x^4 +400 a complex conjugate

Mathematics
1 answer:
nadya68 [22]3 years ago
3 0
<span>f x=0 ==>x^4+400=0+400=400</span>
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Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat
vlabodo [156]

Answer:

y = 360(1.03)x

Step-by-step explanation:

F = P x (1 + i)^n

F is the future worth, P is the present worth, I will be the interest rate, and n is the number of years. F = ($360)(1.03)^x

The principal amount of the money = $360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3%.

Since, this amount represented by y,

The required equation that represents the amount of money in Josiah’s  account, y, after x years is, = 360(1+\frac{3}{100} )^x\\ = 360(1+0.03 )^x\\ = 360(1.03 )^x

This amount represented by y,

Therefore, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

y = 360(1.03 )^x

Hope this helps you!

Have a nice evening! ;)

5 0
3 years ago
Read 2 more answers
A restaurant offers a​ $12 dinner special that has 77 choices for an​ appetizer, 1010 choices for an​ entrée, and 44 choices for
krok68 [10]
<span>280 I'm assuming that this question is badly formatted and that the actual number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts. So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre, so the number of possible meals to this point is n = 7 * 10 = 70 Finally, you finish off with a dessert, so the number of meals is: n = 70 * 4 = 280 Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is n = 77 * 1010 * 44 = 3421880 But I believe that it's highly unlikely that the numbers in this problem are correct. Just imagine the amount of time it would take for someone to read a menu with over a thousand entres in it. And working in that kitchen would be an absolute nightmare.</span>
5 0
3 years ago
4
taurus [48]

Answer:

x^2 - 2x + 10, option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

i^2 = -1

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

The solutions are:

x_1 = 1 - 3i, x_2 = 1 + 3i

We have to find the polynomial. All option have a = 1. So

(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10

The correct answer is given by option b.

6 0
3 years ago
15/3 + (6,5 + 4,2) - 0,6 <br><br> Please show your work, thank you :)
kifflom [539]

Answer:

15/3 + (6.5 + 4.2) - 0.6 = 15.1

Step-by-step explanation:

You can first reduce the fraction to 5 when you multiply by 3, then calculate what's in the parenthesis. So now you have 5 + 10.7 - 0.6, then just solve from left to right. Hope this helps

3 0
3 years ago
1/5 divided by 5/8=<br> Please help me !!
Neporo4naja [7]

Answer:

8/ 25

Step-by-step explanation:

hope it helps!

.....

5 0
3 years ago
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