Answer:
fdsfadeflajkh
Step-by-step explfdsanation:
dthe awknfd;f
Answer:
, option B
Step-by-step explanation:
Complex numbers:
The most important relation that involves complex numbers is given by:
![i^2 = -1](https://tex.z-dn.net/?f=i%5E2%20%3D%20-1)
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:
![x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Cfrac%7B-b%20%2B%20%5Csqrt%7B%5Cbigtriangleup%7D%7D%7B2%2Aa%7D)
![x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%20%5Cfrac%7B-b%20-%20%5Csqrt%7B%5Cbigtriangleup%7D%7D%7B2%2Aa%7D)
![\bigtriangleup = b^{2} - 4ac](https://tex.z-dn.net/?f=%5Cbigtriangleup%20%3D%20b%5E%7B2%7D%20-%204ac)
In this question:
The solutions are:
![x_1 = 1 - 3i, x_2 = 1 + 3i](https://tex.z-dn.net/?f=x_1%20%3D%201%20-%203i%2C%20x_2%20%3D%201%20%2B%203i)
We have to find the polynomial. All option have
. 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](https://tex.z-dn.net/?f=%28x%20-%20%281%20-%203i%29%29%28x%20-%20%281%20%2B%203i%29%29%20%3D%20x%5E2%20-%20x%281%20%2B%203i%29%20-%20x%281%20-%203i%29%20%2B%20%281%20-%203i%29%281%20%2B%203i%29%20%3D%20x%5E2%20-%20x%20-3ix%20-%20x%20%2B%203ix%20%2B%201%5E2%20-%20%283i%5E2%29%20%3D%20x%5E2%20-%202x%20%2B%201%20-%209i%5E2%20%3D%20x%5E2%20-%202x%20%2B%201%20-%209%28-1%29%20%3D%20x%5E2%20-%202x%20%2B%2010)
The correct answer is given by option b.
574.54-396.23= 178.31
So Y=178.31
Answer:9400 backpacks
Step-by-step explanation
since the number of packs to be sold in a is represented by x,
selling price for 1 week = 35x
cost price for 1 week = 15x
profit = 35x-15x = 20x
additional cost of production = 11,000
this implies that 20x - 11,000
7800
20x - 11,000
7,800
20x
7800+ 11000
20x
18,800
x
18800/2
x
9,400
at least 9,400 packs have to be sold each week to make a profit of $7800
Answer: -3√5 + 10√3
Step 1: Find the prime factorization of the number inside the radical.
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.
Step 4: Simplify the expressions both inside and outside the radical by multiplying.