Answer:
169/4
Step-by-step explanation:
Take the coefficient of the x term. Here it's -13. Now halve that, obtaining -13/2. Finally, square this result. We get 169/4. This is the desired number.
x^2 - 13x + 169/4 - 169/4 + 14 = 0
Answer:
4 days
Step-by-step explanation:
If 8 machines can complete a task in 7 days, how long will 14 machines take?
So, it is obvious that if the number of machines increases, the number of days taken to complete the task decreases; thus proving that this is an indirect / inverse proportion.
Let's take <em>x</em> as the number of days we need to find out.
8 machines : 7 days
14 machines : <em>x</em> days
14 × <em>x </em>= 8 × 7
14<em>x </em>= 56
x = 
x = 4
Answer: His semimonthly salary is $2,680.54.
Step-by-step explanation:
64,333/12 = 5,361.08
5,361.08/2 = 2,680.54
Answer:
Domain: [-3, 5]
Range: [-5, 4]
Step-by-step explanation:
The first thing is to define what is the domain and the range. The domain of a function f (x) is the set of all the values for which the function is defined, and the range of the function is the set of all the values that f takes.
In other words, the domain is the value on the "x" axis and the range is the value on the "y" axis.
In this case, both are an interval, the domain would be from -3 to 5 and in the case of the range it would be from -5 to 4.
Domain: [-3, 5]
Range: [-5, 4]