N(x)=20-x If n(x)=18, find the value of x
2 answers:
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Answer:
The graph is attached.
Step-by-step explanation:
Let be "x" the number of metamorphic samples and "y" the number of sedimentary samples.
You know that you want to to have at most 25 samples, then:
And you want to have at least 3 times as many sedimentary samples as
metamorphic samples, then:
Therefore, the system of inequalities that model the situation is:
The y-intercept of the line is:
And the x-intercept is:
Knowing this, you can graph the line
The y-intercept of the line is:
And the x-intercept is:
Knowing this, you can graph the line.
Observe the graph attached, where the solution of the system of inequalities is the intersection of the regions.
Answer:
tanx·secx
Step-by-step explanation:
To simply this, you can begin by factoring sin x out of the numerator to become:
Now, using Pythagorean Trig Identities, we know that sin²x+cos²x equals 1. We can substitute this to make the equation become:
First of all, we can convert to tanx. However, we have a remaining
which, using reciprocal identities, will become sec x.
Finally, we get our answer as tanx·secx.