Answer: In the quadratic formula, if the discriminant is greater than or equal to 0, then the solutions to the quadratic equation will be real numbers. ... Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution.
z is directly proportional to x: z = kx.
If z is directly proportional to x and inversely proportional to y, then z = Kx/y.
When x= 6 and y = 6, z is 12. Find the constant of proportionality, K:
12 = K(6/6), or K = 12
Then, in general, z = 12x/y.
What is z when x=13 and y=10? z = 12(13)/(10) = 15.6 (answer)
It is b because it makes sense
Answer:
40 mph
Step-by-step explanation:
To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:
168 = 0.05s^2 + 2.2s
0.05s^2 + 2.2s - 168 = 0
Using Bhaskara's formula: we have:
Delta = 2.2^2 + 4*0.05*168 = 38.44
sqrt(Delta) = 6.2
s1 = (-2.2 + 6.2)/0.1 = 40 mph
s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)
So the maximum speed of the car is 40 mph
Answer:
The Volume of cylinder is: 
Option B is correct option.
Step-by-step explanation:
We are given:
Volume of cylinder = h = 2x+7
Radius of cylinder = r = x-3
We need to find volume of cylinder
The formula used is: 
Putting values and finding volume
So, The Volume of cylinder is:
Option B is correct option.
