Why does (x-2)^2+9=0 have no real solutions?
1 answer:
Answer:
see explanation
Step-by-step explanation:
Given
(x - 2)² + 9 = 0 ( subtract 9 from both sides )
(x - 2)² = - 9 ( take the square root of both sides )
x - 2 = ±
yields no real solutions
There is no real number when multiplied by itself gives - 9
In fact the solutions to are said to be imaginary, that is ± 3i
where i =
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Answer:
Step-by-step explanation:
16 divided by 6 is 2.66666667
Since 1/3 is .33 , 2/3 is .66
Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
Number of hours can not be negative.
.
Therefore, the required system of inequalities contains some equations, and
.