Simplify: 6 - 4[3(2x + 5) - 4x]
2 answers:
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Answer: Option A
Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is )
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .
(this is )
Then the function is:
Answer:
The expression that represents the population of elk is: . It'll take 6 years for the population to reach 1,458 individuals.
Step-by-step explanation:
Since the number of elks triples every year and starts at , then after the first year the population will be:
While on the second year, it'll be:
On the third year:
And so on, therefore the expression that describes the population of elk as the years passes is:
If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.
The population will reach 1,458 elk in 6 years.