Tutor profile: Mckenzie F.
When a sentence ends with a quote, does the punctuation go inside the quotation marks or outside?
The punctuation goes inside of the quotation marks. For example: Jane Doe said that "TutorMe is an amazing resource!"
Find the derivative of F(x)= 6x^4+3x^2+6.
Step #1: Identify the formula for derivatives. The power rule states: d/dx(x^n)= (n)x^n-1 Step #2: Write out F Prime of X or F'(X) Step #3: Begin solving. For the first part 6x^4: The equation states that you multiply x by the power it is raised. This means you multiple 6x (4) because it is raised to the fourth power. You then subtract 1 from the power making the answer 24x^3. For the second part you follow the same rule; 3x(2)= 6x, and then you subtract 1 from the power. Since 2-1 = 1 the answer to this part would be 6x. For the third part since there is no x attached this part is dropped in the derivative. Step #4: The final answer is F'(x)= 24x^3+6x
The lines y=4x and 4y= -x are... A) Parallel B) Perpendicular C) Horizontal D) Vertical
Step #1: You must solve both equations for Y. The first equation is already solved for Y, but the second equation needs to be rearranged. In order to isolate the Y variable you must divide both sides by 4 making the equation Y= -x/4. Step #2: Analyze the 2 equations. An easier way to view the second equation is to rewrite it as Y= -1/4 X. Step #3: You can determine that the equations are Perpendicular by identifying that 4X and -1/4X are negative reciprocals, or both the opposite sign (positive vs. negative) and inverse (when multiplied together they equal 1) of each other. Step #4: The answer is B.
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