Lisa's test grades are 79, 89 and 90
2 answers:
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<span>For this case we have the following expression:
</span>
<span> We are going to make the following change of variables:
</span>
<span>Rewriting the expression we have:
</span>
<span>Factoring the expression we have:
</span>
<span>Canceling similar terms we have:
</span>
<span>Returning the change we have:
</span>
<span> The resctrictions of the function are those that make the denominator equal to zero.
We have then:
</span>
<span> Answer:
The simplified expression is:
</span>
<span>The restrictions are:
</span>
</span>
<span> We are going to make the following change of variables:
</span>
<span>Rewriting the expression we have:
</span>
<span>Factoring the expression we have:
</span>
<span>Canceling similar terms we have:
</span>
<span>Returning the change we have:
</span>
<span> The resctrictions of the function are those that make the denominator equal to zero.
We have then:
</span>
<span> Answer:
The simplified expression is:
</span>
<span>The restrictions are:
</span>
First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:
Now we can rewrite our expression using the common denominator:
Finally, we can use the trig identities:
and 
to simplify our trig expression:
We can conclude that the correct answer is the fourth one.
Now we can rewrite our expression using the common denominator:
Finally, we can use the trig identities:
We can conclude that the correct answer is the fourth one.