Nicole S.

Math/English Tutor

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Writing

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Question:

Correct the following sentences: $$1$$: I agree with Palmer and reading this article definitely made me realize that. $$2$$: There’s no true way to learn a dance without practicing it, watching a slideshow for hours on end will just never get the job done, you instead need to feel how your body moves. $$3$$: While I tend to agree with the statement it feels bland and too opinionated.

Nicole S.

Answer:

$$1$$: I agree with Palmer, and reading this article definitely made me realize that. (A comma is needed before “and” because the second clause is independent – i.e., it could be its own sentence) $$2$$: There’s no true way to learn a dance without practicing it. Watching a slideshow for hours on end will just never get the job done; you instead need to feel how your body moves. ( The clauses are not as closely linked as the commas suggest; separate the ideas with semi-colons and/or periods) $$3$$: While I tend to agree with the statement, it feels bland and too opinionated. (Without the comma, it’s unclear if the statement has the quality of being bland and too opinionated or if the statement is literally “it feels bland and too opinionated.”)

LaTeX

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Question:

Create an augmented matrix for the following system of equations: 0.316x + 0.346y +0.25z = 4$$, $$2.8x + 21y + 7.54z = 50$$ and $$2.6x + 3.6z = 264$

Nicole S.

Answer:

The matrix appears as the following: $$\left[ \begin{array}{cccc} 0.316 & 0.346 & 0.25 & 4 \\ 2.8 & 21 & 7.54 & 50 \\2.6 & 0 & 3.6 & 26 \\ \end{array} \right]$$ Use "\left[" to create the left bracket. Use the command "\begin{array}" to begin the matrix. Next, create the number of columns and state their alignment (center) with "{cccc}." Begin typing in the coefficients and answers of the equations with a "&" symbol between each element. To signigy the end of a row, type "\\". Continue untill all your data are entered in. To end the array, type the command "\end[array}." Insert "\right]" to enter the right bracket. Make sure this is all entered in math mode.

Algebra

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Question:

Solve the following equation: $$5(-3x - 2) - (x - 3) = -4(2x + 5) - 3$$

Nicole S.

Answer:

First, distribute the factors: $$-15x -10 -x +3 = -8x-20 - 3$$ Next, combine like terms: $$-16x -7 = -8x -23$$ Next, add $$8$$ to both sides to get x onto the left side of the equation (-8 + 8 cancels): $$-8x - 7 = -23$$ Next, add $$7$$ to both sides to get the constants onto the right side of the equation: $$-8x = -16$$ Finally, divide both sides by $$-8$$ to get $$x$$ by itself : $$x = 2$$

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