Answer:
Check attachment.
Step-by-step explanation:
I graphed it.
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2 answers:
Answer:
There are 25 students in the class.
Step-by-step explanation:
Since we know the percentage of students who want an ice cream party is 20%, and 5 students want an ice cream party, we know that:
, where S is the total amount of students. We can then solve for S:
Given equation
Multiply by S
Divide by 0.2
Therefore, there are 25 students in the class.
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Answer:
sinΘ =
Step-by-step explanation:
sinΘ = =
=
To check if a piecewise defined function is continuous, you need to check how the pieces "glue" together when you step from one domain to the other.
So, the question is: what happens at x=3? If you reach x=3 from values slightly smaller than 3, you obey the rule f(x)=log(3x). So, as you approach 3, you get values closer and closer to
Similarly, if you reach x=3 from values slightly greater than 3, you obey the rule f(x)=(4-x)log(9). So, as you approach 3, you get values closer and closer to
So, the function is continuous at x=3, because both pieces approach log(9) as x approaches 3.