The expression that represents the profit is: ( 5x2 + 2x – 80)-(<span>5x2 – x + 100)
Profit can be modeled by polynomial expression: 3x-180
If 1,000 video game systems are sold, the company's profit is: $2,820</span>
Answer:
The solution set is the empty set.
Step-by-step explanation:
{x | x < 2} is the set of all numbers less than 2. This means x can take values such as 1.99, 0, -2000 and so on. That is, all values less than 2.
{x | x ≥ 2} is the set of all numbers equal to or greater than 2. This means x can take values such as 2, 2.1, 5000, and so on. That is, 2 or any value greater than 2.
Since there is no sign between the two sets, the question is asking for the intersection between these two sets. That is, what elements are common to these two sets? As we can see, the two sets don't have any common element. Hence, their intersection is the empty set.
(Note that the union of these two sets would be the set of all real numbers as that includes all elements from either set).
The answer would be s=-60
Answer:
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
Step-by-step explanation:
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1. ⟾ one dozen = 12, so 2 dozen = 12×2=24
⟾ 24 Joe's doughnuts = $6
⟾ 1 Joe's doughnuts or unit / rate = $6/24 = $1/4.
⟾ so per doughnut unit rate is $ 1/4.
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2. ⟾ 24 hours = 5432 miles.
⟾ 1 hours = 5432/24 hours
⟾ 1 hours = 226•333 miles.
⟾ so aryan drove in 226•333 miles in 1 hours.
Hope it's helps you
ANSWER
6.4 hours
EXPLANATION
if it takes 10 hours to get 50%, then it will take less number of hours to get 32%
We use proportion to solve this question.
If less more divides.
The number of hours it will take to get 32% is


Hence it will take 6.4 hours to get 32%