Answer:

Step-by-step explanation:
The given quadratic equation is:

Comparing it with the standard form of Quadratic Equation
, we get:
a = 3, b = -9 and c = 1
Discriminant = b² - 4ac
D = (-9)²-4(3)(1)
D = 81 - 12
D = 69
Let a be an apple, b be a baseball, p be a pineapple and s be a shoe.
Then, from the balance, we model these equations:
p + b = s ----- (1)
2s = 4a
Divide both sides by 2.
s = 2a
Substitute in (1), we get,
p + b = 2a ----- (2)
Also,
p = a + b ----- (3)
Substitute the above in (2), we get,
(a + b) + b = 2a
a + 2b = 2a
Subtract a from both sides.
a = 2b
Substitute in (3), we get,
p = 2b + b = 3b
Hence, 3 baseballs equal one pineapple.
Answer:
Therefore the rate change of height is
m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is 


Differentiating with respect to t.

Putting the value 



The rate change of height does not depend on the height.
Therefore the rate change of height is
m/s.
Answer:
Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. ) What is the total change in Quinn's score?