Evaluate each algebraic expression for the given value or value(s...

Question

Evaluate each algebraic expression for the given value or value(s) of the variable(s). 3+6(x-2)^3 for x=4

Accepted Answer

Welcome back. I'm so glad you're here. We get to solve this expression for X equals two. So let's fill that too in anywhere. There's an X. We've got seven times parentheses four minus there's our X. So we'll plug in the too cute And parentheses plus four. Okay now to get that broken down more we're going to look at our pen dust are parentheses exponents then multiplication and division. Working from left to right and then addition and subtraction working from left to right. So start with P. Um Well we do have parentheses. We have four minus 22 3rd. Well in order to take four minus two to the third we've got to do our exponents to figure out what is 22 3rd. So let's do two to the third. That's eight. And now we can carry down the rest of it seven times four minus eight plus four. And now we can do the parentheses four minus eight is going to be negative four, carry down the rest of it seven times negative four plus four. And now working from left right we can look at multiplication and division and that would be seven times negative four which is negative 28. Bring down that plus four. There's no more multiplication division. And so now we can look at addition and subtraction. Working from left to right and that's going to be negative 28 plus four which is negative 24. We look at our answer choices and that gives us answer choice. C. Well done. We'll catch you on the next one

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