Answer:
The graph is possible for 
Step-by-step explanation:
we know that
The discriminant of a quadratic equation of the form
is equal to

If D=0 the quadratic equation has only one real solution
If D>0 the quadratic equation has two real solutions
If D<0 the quadratic equation has no real solution (complex solutions)
In this problem , looking at the graph, the quadratic equation has two real solutions (the solutions are the x-intercepts)
so

therefore
The graph is possible for 
Answer:
It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.
Step-by-step explanation:
The filling time of a gas tank can be given by a first order function in this format:

In which
is the current amount of fuel in the tank(in L),
is the volume of the tank(in L),
is the discharge rate of the tank(in L/s) and t is the time in seconds.
Finding the values of the parameters:
The tank is completly empty, so
.
The volume of the tank is 14 gallons. However, the problem states that the volume of the tank is measured in liters.
Each gallon has 3.78L.
So 
The discharge rate for the gas is 38.0 l/min. However, the problem states that the discharge rate is in L/s. So, to find the value of r, we solve the following rule of three.
38 L - 60s
r L - 1s



Solving the equation:





It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.
Answer:
A. y = 3sin(x-2) + 1
Step-by-step explanation:
A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.
That height is 3.975 meters.
_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975
Answer:
93
Step-by-step explanation:
Given that:
Brittany's Zscore = 1.8
Mean score (m) = 75
Standard deviation (s) = 10
Brittany's score (x) =?
Using the Zscore formula :
Zscore = (x - m) / s
1.8 = (x - 75) / 10
18 = x - 75
18 + 75 = x
93 = x
Hence, Brittany's score is 93