We are given that T = test score, and x = # of hours studied. We are given the same information in numbers:
T = 90
x = 6
y = ?
We need to figure out y in terms of k. Let's set up what we know:
Let's multiply both sides by y to get rid of it on the right side:
Now, let's divide by 90 on both sides to get rid of it from the left side (and solve for y):
Your answer is A! If any part didn't make sense, you know where to reach me.
Answer:
Center: (-13, -2) radius = 9
Step-by-step explanation:
Center: (-13, -2) radius = 9
The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
<h3>What is a Parabola ?</h3>
A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
The equation of the parabola is
(x-2)² = (y+2)
Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
To know more about Parabola
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Answer:
Step-by-step explanation:
Given that a tank contains 350 liters of fluid in which 10 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min
the well-mixed solution is pumped out at the same rate.
Let A(t) be the grams of salt at time t.
Then A(0) = 10 gm
Inflow of fluid = outflow of fluid = 5l/min
So volume of tank at time t = 350 litres
Rate of change of salt = A'(t) = incoming rate - outgoing rate
= 0-
i.e.
Use the fact that when t =0, A = 10
P = 10
So we get