Answer:
I believe it's 2.
Step-by-step explanation:
10, and -10
1. "The limit on John's credit card is defined by the function f(x)=15,000+1.5x," indicating that if John's monthly income is $5,000, he can spend a maximum of f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22,500 (dollars). As another example, if John's monthly income is $8,000, then he can spend up to f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars). 2. If we consider the maximum amount John can spend as y, it can be represented as y=15,000+1.5x. To express x, the monthly income, in terms of y, we rearrange this equation: y=15,000+1.5x results in 1.5x = y-15,000. Therefore, in functional notation, x is a function, referred to as g, based upon y, the maximum sum. Generally, we denote the variable of a function by x, so we redefine g as: This tells us that if the maximum amount that John can spend is $50,000, then his monthly income would be $23,333. 3. If John's limit is $60,000, his monthly income equals $30,000. Note: g is deemed as the inverse function of f because it reverses the actions of f.
<span>The likelihood of both selected students being sophomores is 6/20, which simplifies to 3/10.
The expression for the probability that both chosen students are sophomores is (6c1) (5c1) /(20c2)
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Answer:
Area of land = 0.056 hectares
Detailed explanation: Knowing that
A typical person in the country requires 2,450 kilocalories each day. This means
An individual consumes 2450 kilocalories daily
The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.
Thus, in one day, for one individual, we have
15737000 = 2450/hec
Hectare = 2450/15737000
Hectare = 1.5568 × 10 -4
The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be
Calculated hectare × 365.25
Hectare = 1.5568 × 10 -4 × 365.25
Area of land = 0.056 hectares
