Answer:
A and C
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
So <7 and <9 are adjacent to <8.
[If there's any mistake, please inform me]
Answer:
7 and 2
Step-by-step explanation:
7 plus 2 is 9. 7 times 2 is 14.
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
The car's speed in feets per second is 79.2, Hence, it will cover a distance of 158.4 feets in 2 seconds.
Car's speed in miles per hour = 54 miles per hour
Recall :
- 1 mile = 5280 feets
- 1 hour = 3600 seconds
Car's rate in feet per second
- 54 miles per hour = (54 × 5280 × 1/3600) feet per second = 79.2 feets per second.
- Distance in 2 seconds :
- Distance = speed × time
- Distance = 79.2 × 2 = 158.4 feets
Therefore, the car will cover a distance of 158.4 feets in 2 seconds.
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