I hope the choices for the numerators of the solutions are given.
I am showing the complete work to find the solutions of this equation , it will help you to find an answer of your question based on this solution.
The standard form of a quadratic equation is :
ax² + bx + c = 0
And the quadratic formula is:
x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}
So, first step is to compare the given equation with the above equation to get the value of a, b and c.
So, a = 10, b = -19 and c = 6.
Next step is to plug in these values in the above formula. Therefore,




So, 

So, 
Hope this helps you!
Answer:
I see two triangles
Step-by-step explanation:
we are given

Here,
y is the number of gallons of water in the pool
x is the number of minutes the truck has been filing the pool
now, we will verify each options
option-A:
When x=1
then y=19.75
so, for 1 minute , number gallons =19.75
so, this is FALSE
option-B:
Since, we have

It is similar to equation of line
y=mx+b
But b=0
It means that it passes through origin
so, this is TRUE
option-C:

we can compare it with
y=mx
where m is the rate
so, we get

while we are given
the water in swimming pool increase about 100 gallons by every 5 minutes
so, we get rate as
gallons per minute
this is close to 19.75
so, they are approximately equal
so, this is TRUE
option-d:
x-value and y-value will show relationship
and ratio will always be constant or equivalent
because it has linear relationship
so, this is TRUE
option-e:
We need to check
(8,150) ..so, x=8 and y=150
we can plug this in our equation
and we get


Since, left side is not equal to right side
so, this can not be point
so, this is FALSE
Answer: 3/4
Step-by-step explanation:
Answer:
cost per mile = $2.
Step-by-step explanation:
Given the cost function, c(m) = 2m + 4,
Where the m represents the number of miles traveled, and $2 is the cost per mile of the cab. The $4 represents the flat rate, a set fee, or the initial value.
Therefore, the cost per mile of the cab is $2.