Answer:
Answer b
Step-by-step explanation:
Mark brainliest
Answer:
how is this mathematics lol
Step-by-step explanation:
Answer:
The sum of reciprocals is 2/3.
You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.
Step-by-step explanation:
a+b = 2
a*b = 3
1/a + 1/b = x
(a*b)*(1/a + 1/b) = (a*b)x
b + a = (a*b)(x)
2 = 3x
x = 2/3
b = 2 - a
a*(2 - a) = 3
-a^2 + 2a = 3
-a^2 + 2a - 3 = 0
a^2 - 2a + 3 = 0
let's solve the quadratic equation
a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0
(a - 1)^2 = -2
![a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\](https://tex.z-dn.net/?f=a_1%20-%201%20%3D%20%5Csqrt%7B2%7Di%5C%5Ca_1%20%3D%201%2B%5Csqrt%7B2%7Di%5C%5C%5C%5Ca_2%20-%201%20%3D%20-%5Csqrt%7B2%7Di%5C%5Ca_2%20%3D%201%20-%20%5Csqrt%7B2%7Di%5C%5C)
these options correspond to a and b from the original question.
A palindrome is something that reads the same forwards and backwards.
If the number is a palindrome and it's between 300 and 400, then the
last digit must also be a ' 3 '.
So all we have left to fill in is the digit in the middle.
There are 10 possibilities for that one ... the digits ' 0 ' through ' 9 '.
So there are <em>10</em> palindromic numbers between 300 and 400.
The average of the 75 customers will be 6.4.
<h3>How to calculate the value?</h3>
The first 30 customers made an average of 5 claims each. The total claims will be:
= (5 × 30) = 150
When 75 more people were assessed, the average was 6. Therefore, the total claims will be:
= (75 + 30) × 6
= 105 × 6
= 630
Therefore, the average of the 75 customers will be:
= (630 - 150)/75
= 480/75
= 6.4
Learn more about mean on:
brainly.com/question/1136789
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