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Tutor profile: Sammie G.

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Sammie G.
Math Student Tutor for over 2 years
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Questions

Subject: Linear Algebra

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Question:

Find the determinant of the matrix 2 2 4 5

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Sammie G.
Answer:

The formula for determinant is ad-bc, so we simply do 2(5)-2(4)=2.

Subject: Pre-Calculus

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Question:

Find the vertex of y=2x^2-8x+7

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Sammie G.
Answer:

We use the formula x= -b/2a with b=-8 and a=2. Then we get x= -(-8)/(2*2)=2. Then we insert x=2 into the original equation and obtain y=2*2^2-8(2)+7= -1.

Subject: Basic Math

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Question:

Solve for x. 5(x+4x+3)+25x=20

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Sammie G.
Answer:

We begin by simplifying the equation. In the parenthesis, it simplifies to 5x+3. We distribute the 5 into the parenthesis by multiplying 5 with each value inside. So, we obtain 25x+15. Now, we combine it with the 25x outside and obtain 50x+15 on the left side. Then, we isolate the x. We have currently, 50x=5. To isolate the x, we divide 50 on each side. Thus, we get x=1/10.

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