Answer:
A
Step-by-step explanation:
So we have the piecewise function:
And we want to find f(8).
Since our input value is 8, choose the equation that fits our input.
The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.
The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.
The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.
So:
There're nothing more to do, we're done :)
The answer is A.
Edit: Improved Format
This problem can be solve by graphing (technology), as suggested.
The answer is posted as an attached image. We see that after about 14.75 years, the invading species will surpass the indigenous population.
If it needs to be solved mathematically and accurately, the math is a little more advanced, using the bisection method, or Newton's method.
However, we can also do that by trial and error, starting from 14.75. It is easier than you might think.
Post if you would like to have more information on one or the other methods.
Note: the scale of y has been shrunk by 1000, so each unit on the y-axis represents 1000 frogs.
Answer:
- Circle X with radius 2 cm.
- Either of two lines parallel to AB.
Step-by-step explanation:
1. The definition of a circle is all the points in a plane that are at some radius r from a given point (the circle center). That is what you have, with a radius of 2 cm.
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2. Parallel lines are the same distance apart everywhere. Each line will have two parallel lines at some given distance from it, one on each side. Here, the separation distance from AB is 1 cm, so your locus of points is the two lines parallel AB that are 1 cm from it on either side.
Answer:
C: 1/2x +7
Step-by-step explanation:
The first step is to write it as an algebraic equation 12=-4x
*is always means equals when translating from words to equations also your coefficient (-4) always comes before your variable (x)*
Now solve like a regular algebraic equation
12=-4x
Divide both sides by -4
-3=x
X=-3
