If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain

1 answer:

5 0

Begin by finding the lowest point the quadratic equation can be, the vertex;

x²-1= is just a translation down of the graph x²

vertex; (0, -1) and since the graph of x² would extend to infinity beyond that point, we can say {x| x≥0} for domain and {y| y≥-1}.

For the linear equation, it is possible to have all x and y values, therefore range and domain belong to all real numbers.

Hope I helped :)

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As part of a board game, players choose 5 unique symbols from 9 different symbols to create their secret password. How many diff

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Answer:

$15,120$

Step-by-step explanation:

For the first symbol, there are 9 options to choose from. Then 8, then 7, and so on. Since each player chooses 5 symbols, they will have a total of $9\cdot 8 \cdot 7 \cdot 6\cdot 5=\boxed{15,120}$ permutations possible. Since the order of which they choose them matters (as a different order would be a completely different password), it's unnecessary to divide by the number of ways you can rearrange 5 distinct symbols. Therefore, the desired answer is 15,120.