Tutor profile: Jeremy B.
Proper placement and usage of direct object pronouns. Translate the following sentence using direct object pronouns: He sees her.
Il la voit. The direct object pronoun "la" is used BEFORE the verb. Direct objects are the people or things in a sentence which receive the action of the verb. In French, they come before the verb.
Let us discuss opportunity costs and utility and what those terms mean in Economics.
In Economics, an opportunity cost is the loss of a potential gain from an alternative when another alternative is chosen instead. In a sense, it is what is given up by choosing something else. For example, if given the choice between having an apple or an orange, the opportunity cost of having an apple is an orange. By choosing the apple, it cost you having an orange. Utility, in association, is the economic equivalent of measuring happiness or satisfaction of decisions. Combined, the most advantageous choice is determined by associating each option with a measurement of utility and choosing which will result in the smallest opportunity cost.
Let's take a look at inequalities and solving them. Example problem: 2x + 7 < x + 5
For this inequality, the solution is to get your variable (here, "x") on one side of the inequality and the integers on the opposite side (here "7" and "5"). As we see we have X on the right side, that is easiest to begin with. In order to keep the inequality unchanged, subtract the value X from each side of the inequality. This leaves us with (2x-x) + 7 < 5 which becomes x + 7 < 5. Now, to get our integers all on the opposite side of our variable, let us follow the same principle and subtract 7 from each side of the inequality. This give us our solution x < (5-7), or, x < -2.
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