X Coordinate: (-3a + 3a)/2
0/2 = 0
Y Coordinate: (b + b)/2
2b/2 = b
Midpoint: (calculated x, calculated y)
In this case, the midpoint should be (0, b)
Answer:
C. The graph of g(x) is shifted 5 units up.
Step-by-step explanation:
The transformation shown shows a vertical translation.
The graph would move f(x) five units up.
Hope this helps.
Answer:
13 4/5 = 10 + 3 4/5
Step-by-step explanation:
3 is to 2 is the probability of drawing 4 marbles that are all blue.
Answer:
Price of widget to break even= $37.9
Step-by-step explanation:
We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;
y = -8x² + 348x - 1705
Now, the company will break even when it has made no profit. That is when, y = 0
Thus;
0 = -8x² + 348x - 1705
Rearranging,
8x² - 348x + 1705 = 0
Using quadratic formula ;
x = [-b ± √(b² - 4ac)]/2a
x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)
x = $5.63 or $37.87
We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.
We are told to approximate to nearest cent. Thus,
Price of widget = $37.87 ≈ $37.9
