A population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, which function represe
1 answer:
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ANSWER
EXPLANATION
The given equation is
Take antilogarithm of both sides to base e.
This will simplify to
Group like terms to obtain,
Take square root of both sides to get,
EXPLANATION
The given equation is
Take antilogarithm of both sides to base e.
This will simplify to
Group like terms to obtain,
Take square root of both sides to get,
<u>Answer:</u>
The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
<u>Solution:</u>
Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)
We have to find the line equation which is perpendicular to above given line and passing through the given point.
Now, let us find the slope of the given line equation.
We know that, <em>product of slopes of perpendicular lines is -1. </em>
So, 1 slope of perpendicular line = -1
slope of perpendicular line = -1
Now let us write point slope form for our required line.
y – (-2) = -1(x – (-3))
y + 2 = -1(x + 3)
y + 2 = -x – 3
x + y + 2 + 3 = 0
x + y + 5 = 0
y = -x -5
Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.