Please answer this question for points
1 answer:
Answer:
<h2>y = -2x + -3</h2>Step-by-step explanation:
Slope-intercept form is y = mx + b
"m" is the slope, how steep the line is.
"b" is the y-intercept, where to graph hits the y-axis.
Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.
To find "m", use between the two dotted points on the graph. The first point is always on the left.
<u>"Rise" means how many squares above</u> the first point the second point is.
Since the second point is below the first point, the number is negative.
<u>"Run" means how many squares to the right</u> the second point is.
To find "b", look at where the graph it touching the y-axis.
The y-axis is the vertical line (going from top to bottom).
Count the number of squares from the grid's middle to the graph line.
There are 3 squares.
Since the graph touches below the origin, this is a negative number.
b = -3
In the boxes, you put negative two (-2) and negative three (-3).
* Usually we would simplify the equation to y = -2x - 3.
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Given:
The function is
where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
To find:
Number of complex and real zeros.
Time intervals for which the population increased and population deceased.
Solution:
We have,
Here, degree of function x is 3. It means, the given function has 3 zeros.
From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.
So, the given function r(x) has only one real root and other two real roots are complex.
Therefore, function r has 2 complex zeros and one real zero.
Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.
Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.
Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.