Answer:
x = 
y = 2
Step-by-step explanation:
By applying tangent rule in the given triangle,
tan(45°) = 
1 = 
x = √2
By applying sine rule in the given triangle,
sin(45°) = 
y = 
y = 2
Answer:
7
Step-by-step explanation:
The rate of change is defined as
f(x2) - f(x1)
--------------------
x2-x1
x2 = 6
f(6) = x^2 – 3x – 10 = 6^2 -3*6 -10 = 36 - 18-10=8
x1 = 4
f(4) = x^2 – 3x – 10 = 4^2 -3*4 -10 = 16 - 12-10=-6
Substitute the values into the expression
8 - -6
--------------------
6-4
8+6
------------
2
14/2= 7
A.) Revenue = price * quantity = px = -1/20x^2 + 1060x
R(x) = -1/20x^2 + 1060x.
b.) Profit = Revenue - Cost = R(x) - C(x) = -1/20x^2 + 1060x - 120x - 5000
P(x) = -1/20x^2 + 940x - 5000
c.) For maximum profit, dP/dx = 0
-1/10x + 940 = 0
1/10x = 940
x = 940 * 10 = 9,400
x = 9,400
Maximum profit = P(9400) = -1/20(9400)^2 + 940(9400) - 5000 = $4,413,000
d.) The price to be charged for maximum profit = -1/20(9400) + 1060 = $590
For the limit to exist, the limits from either side must also exist and be identical. We have
Since the limits do not match, the overall limit does not exist.
Answer:
Option A is the correct option.
Step-by-step explanation:
In the question the two functions are given in which function 1 is a parabola and function 2 is a straight line.
Since line intersect the parabola on two distinct points as shown the solutions of this non linear system will be two.
The coordinates of the solutions will be (0, -2) and (5, 3).
Therefore option A is the answer.
