We know that equation of a parabola is given by :-
y = a(x-h)² + k
Where (h,k) is the vertex of parabola and (x,y) is any point on its curve.
Given that vertex of parabola is (3,5) and one point (x,y) is (6,-1).
We can plug the given information in the equation of parabola and solve it for value of 'a' :-
-1 = a(6 - 3)² + 5
-1 = a(3)² + 5
-1 = 9a + 5
9a = -1 -5 = -6
a =
a = is the final answer.
Given:
The limit problem is:
To find:
The limit of the function by using direct substitution.
Solution:
We have,
Applying limit, we get
Therefore, the correct option is D.
They stayed at the beach for 7 days. 4 x 3 = 12. 12 - 5 = 7
Answer:
Step-by-step explanation:
Given
Required
Determine the profit function.
Profit function is calculated as thus:
So, we have:
A) Teresa is correct; y=2ˣ grows at an increasingly increasing rate, while the other two grow at a constantly increasing rate. This means y=2ˣ will surpass the other two.