Given that: Triangle ABC is translated to triangle A'B'C' by the transformation

The points are A(4, -4), B(2, -5), C(0, 6), D(-2, 5).
To find: Coordinates of A'.
The coordinates of A are (4,-4).
Using the given rule of transformation, we get

On simplification, we get

Therefore, the coordinates of point A' are (6,-9).
Answer:
15
Step-by-step explanation:
x + 3 = 2(x - 6)
x + 3 = 2x - 12
-1x = -15
=15
Answer:
x-intercept: (-1,0)
y-intercept: (0,3)
Vertex: (-2,-1)
Step-by-step explanation:
Answer:
I'm not 100% sure but I believe the answer is 27
because -48/-4=12
12+15=27
Answer:
The correct answer is a) R = = -
+ 30x; b) $ 1120; c) Maximum quantity is 75 units with maximum revenue being $1125; d) p = $15.
Step-by-step explanation:
Demand equation: p = -
x + 30 , 0
x
150 ; where p is the price of the product and x is the quantity sold.
a) Revenue function by the problem is given to be R= p × x = -
+ 30x.
b) Revenue at x = 70 is given by 2100 - 980 = $ 1120.
c) For maximizing the R we differentiate it with respect to x and equate it to zero.
⇒ -
x + 30 =0
⇒ x = 75.
As the second order derivative is negative at this point, this is the value of x that maximizes the revenue.
Maximum Revenue is at x = 75 and is equal to $1125.
d) Price charged by the company for maximum revenue is $15.