By factoring, find two values j and k which satisfy two conditions, jk=ac=-12 and j+k=b=-4, so j and k must be 2 and -6 so the factors are:
(x+2)(x-6)=0
So x=-2 and 6
By the quadratic formula, x=(-b±√(b^2-4ac))/(2a), in this case:
x=(4±√(16+48))/2
x=(4±√64)/2
x=(4±8)/2
x=2±4
x=-2 and 6
Answer: 0.866304
Step-by-step explanation:
Let A be the event that thermostat is operational and B shows the event that at least one boiler is operational.
The probability that thermostat is operational is P(A) = 0.94
The probability that both boiler is not operational is 
The probability that at least one boiler is operational is
[ Using complement rule]
But water gauge is not a factor, thus the probability that company ABC is properly heated is
Hence, the probability that company ABC is properly heated. = 0.866304
Answer:
Step-by-step explanation:
The formula of a distance between two points:
We have the points (2, 4) and (7, 2). substitute:
Alright, to start the problem, we need to know what Gina makes! If Gina worked 32 hours for $24.50 per hour, all we need to do is multiply 24.50 by 32 to get 748, which means that this week, Gina made $748!
Next, we need to look at the chart to see where he falls on income tax. Because Gina made more than $218, she makes too much for line 1. Because Gina made more than $758, she makes too much for line 2.
Because Gina made less than $1762, and more than 753, it looks like Gina will fall into line 3, so your answer should be C!
