1. 
a= 1 , b= -2 , c= -1
x=1
now use the x value to find y
y = -2
vertex (1,-2)
A) let the number of cameras sold per day for breakeven be x
Total daily cost = 2000 + 9x
Total daily revenue = 17x
therefore for just covering expenses both cost and revenue must be equal
2000 + 9x = 17x
2000 = 17x - 9x = 8x
x = 2000/8 = 250 cameras
b) increasing production by 50 cameras per day will give a daily profit of;
50 * (17 - 9) = 50 * 8 = $400 (seeing that the fixed daily cost of $2000 remains unchanged)
It's a
Answer: c) 0.75
Step-by-step explanation:
Given : The probability of choosing a black marble is P(Black)= 0.36.
The probability of choosing a black and then a white marble is P( Black and white) = 0.27.
Then by conditional probability ,
The probability of the second marble being white if the first marble chosen is black = 
Therefore , the probability of the second marble being white if the first marble chosen is black = 0.75
Answer:
- (fog)(3) = f(g(3)) = f(12) = 60
Step-by-step explanation:
Given
Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
This situation is a "union." To answer it, add together the probabilities 0.42 and 0.38. Result: 0.80.
The probability of getting into either USC or VSU is 0.80.
