1. Evaluate the discriminant for each equation, then use it to determine the nature of the roots for each quadratic equation.
1 answer:
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Answer:
1050 g < weight ≤ 1150 g
Step-by-step explanation:
Let w represent the weight of the package in grams. The the number of 100-gram increments after the first 250 grams is given by ...
⌈(w-250)/100⌉ . . . . . . . where ⌈ ⌉ signifies the <em>ceiling</em> function
and the charges for a package exceeding 250 grams will be ...
0.65 + 0.10⌈(w -250)/100⌉ = 1.55
0.10⌈(w -250)/100⌉ = 0.90 . . . . . . . . subtract 0.65
⌈(w -250)/100⌉ = 9 . . . . . . . . . . . . . . . divide by 0.10
8 < (w-250)/100 ≤ 9 . . . . . . . . . . . . . . meaning of ceiling function
800 < w -250 ≤ 900 . . . . . . . . . . . . . multiply by 100
1050 < w ≤ 1150 . . . . . . . . . . . . . . . . . add 250
The weight in grams could be greater than 1050 and at most 1150 for a charge of $1.55.
Answer:
The chances of success for Archie is
Step-by-step explanation:
From the question we are told that
The distance of Sudland from Xhosas is d = 100 miles
The probability of failure is
The probability of choosing the desert route is
The probability of reaching Sudland through the mountain is
Generally the probability of choosing the mountains route is
Generally the probability of success is mathematically represented as
Generally the probability of success in reaching Sudland is also mathematically represented as
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substituting values
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