An automobile maker has an order for 7,500 new cars to be delivered in one week. Each car must be fitted with a new hood ornamen
2 answers:
Answer:
235 workers
Step-by-step explanation:
Factory operates on a standard work week shift for 5 days = 8 hours per day
In one week working hours are = 8 × 5 = 40 hours.
Company has an order for 7,500 new cars to be delivered in one week.
One car requires time to be fitted with a new hood ornament that requires to install = 1 hour and 15 minutes ( 1.25 hours )
In 40 hours (one week) cars will install with one worker = = 32 cars
To fulfill the order of 7,500 cars, Company needs workers = 7,500 ÷ 32 = 234.375 ≈ 235 workers.
235 workers must be assigned this job to meet the deadline.
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Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation =
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.