Most quadratic functions(which is what you have there, to a degree of 2) are solved using factoring and the zero product law. If you can not factor then you have to use the quadratic formula or graph it. However this one can be factored.
It's pretty simple to just factor it by inspection but I use the chart method, if you know decomposition that works as well.
Factoring gives us,
Then you set each factor to 0 and solve for x,
And the second one,
The solutions to this equation are
x = -1/2, 3
Answer:
x=15 and y=2
Step-by-step explanation:
The given system of equations is
8y - x = 1 ...............(i)
and
10 y = x + 5 ...............(ii)
Now from equation (ii)
10 y = x + 5
subtracting -5 from both sides
10 y - 5 = x + 5 - 5
10 y -5 = x
or
x = 10y -5 ............(iii)
Put this in equation (i)
it becomes
8y - (10y -5) = 1
8y-10y+5=1
-2y+5 =1
subtracting 5 from both sides
-2y + 5 -5 = 1 -5
-2y = -4
dividing both sides by -2 gives
-2y / -2 = -4 / -2
y = 2
We got the value of y putting it in equation (iii) to get the value of x
as from equation (iii)
x = 10y-5
x = 10(2) - 5
x = 20 -5
x = 15
So this is the solution from the equations
Answer:
37,50,65
Step-by-step explanation:
Answer:
The answer is 35%
Step-by-step explanation:
If we add together 35 and 65 we get 100. This means altogether there are 100 kids in her school. Out of those 100 kids, 35 like scary movies. We can write this as the fraction 35/100. This is equivalent to 0.35 or 35%.
Answer:
The probability that a student arriving at the ATM will have to wait is 67%.
Step-by-step explanation:
This can be solved using the queueing theory models.
We have a mean rate of arrival of:
We have a service rate of:
The probability that a student arriving at the ATM will have to wait is equal to 1 minus the probability of having 0 students in the ATM (idle ATM).
Then, the probability that a student arriving at the ATM will have to wait is equal to the utilization rate of the ATM.
The last can be calculated as:
Then, the probability that a student arriving at the ATM will have to wait is 67%.
