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
these options correspond to a and b from the original question.
The answer would be true because 4+5 is > 8
Divide the number of quarts of beef soup by the number of cups of vegetables.
1000 / 510
you should get 1.96
If your teacher wants you to round up you should try 2.
Answer:
See below
Step-by-step explanation:
Given function is ,
=> f(x) = 4x + 7.
Replace f(x) with y ,
=> y = 4x + 7
For finding the inverse , interchange x and y ,
=> x = 4y + 7
Now solve for y ,
=> 4y = x - 7
=> y = x-7/4
Replace y with f-¹(x) ,
=> f-¹(x) = (x-7)/4
These are the required steps .
Answer:
5,418.2 feet
Step-by-step explanation:
Nadia is carrying out mountain climbing.
She started climbing the mountain at an altitude of 19.26 feet below the sea level.
Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.
Therefore, Nadia's altitude at the end of her climb can be calculated as follows
= 5,437.8-19.6
= 5,418.2
Hence Maria's altitude at the end of her climb is 5,418.2 feet
