becky has the addresses of many people listed in her email book . she forwarded a copy of an article to all 5 of those people. i
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EXPLANATION
The volume of a rectangular prism is given by the formula,
We substitute the dimensions to obtain,
The volume of the rectangular pyramid is,
Equating the two volumes gives,
We divide through by 6×12 to get,
We solve for x to obtain,
EXPLANATION
The volume of a rectangular prism is given by the formula,
We substitute the dimensions to obtain,
The volume of the rectangular pyramid is,
Equating the two volumes gives,
We divide through by 6×12 to get,
We solve for x to obtain,
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.