If G(x) = 3x + 1, then
1 answer:
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Total number of marbles:
75 + 50 + 100 + 25 = 250
Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to 1/10.
Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to 1/5.
Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to 7/10.
To find the probability that each event occurs in order, simply multiply them all together.
75 + 50 + 100 + 25 = 250
Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to 1/10.
Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to 1/5.
Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to 7/10.
To find the probability that each event occurs in order, simply multiply them all together.
Answer:
This translates to "y is any real number such that it is 0 or larger".
The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.
So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.
In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.
