The more plot point the better but you must have at least three points, a labeled X-axis and Y-axis, and a table for the data to be organized into.
Answer:
a.
<u>Increasing:</u>
x < 0
x > 2
<u>Decreasing:</u>
0 < x < 2
b.
-1 < x < 2
x > 2
c.
x < -1
Step-by-step explanation:
a.
Function is increasing when it is going up as we go rightward
Function is decreasing when it is going down as we go rightward
We can see that as we move up (from negative infinity) until x = 0, the function is increasing. Also, as we go right from x = 2 towards positive infinity, the function is going up (increasing).
So,
<u>Increasing:</u>
x < 0
x > 2
The function is going down, or decreasing, at the in-between points of increasing, that is from 0 to 2, so that would be:
<u>Decreasing:</u>
0 < x < 2
b.
When we want where the function is greater than 0, we basically want the intervals at which the function is ABOVE the x-axis [ f(x) > 0 ].
Looking at the graph, it is
from -1 to 2 (x axis)
and 2 to positive infinity
We can write:
-1 < x < 2
x > 2
c.
Now we want when the function is less than 0, that is basically saying when the function is BELOW the x-axis.
This will be the other intervals than the ones we mentioned above in part (b).
Looking at the graph, we see that the graph is below the x-axis when it is less than -1, so we can write:
x < -1
Because it’s important to know the equation so that would be easy to know the quadratic formula and easy to solve the problem
Answer:
Step-by-step explanation:
We are given that there is an exponential decay.
Also, the decrease is of constant rate 7.9% i.e. 0.079 each year.
Since, the initial amount of the species is atleast 26 million.
Thus, the inequality for the corresponding model will be, ,
where t is the time period for the decay and P is the population.
Moreover, is is given that the population cannot be less than 2 million.
So, we get, .
Hence, the inequalities to determine the possible number of insects over time are given by,
.
We know that he weeds gardens for 15 hours, and mows lawns for x hours.
If he wants to earn $252 per month, we can express the following
Now, we solve for x
<h2>Hence, he has to mow lawns for 13 hours to earn at least $252.</h2>
