Lee C.

College Graduate, Experienced Tutor

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Linear Algebra

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Question:

Find the slope of the line and write an equation using these points. (0, 4), (-2, 0)

Lee C.

Answer:

To find the slope: (y1 - y2) / (x1 - x2) Slope = (4 - 0) / (0 - -2) Slope = 4/2 Slope = 2 Since the points are using the x and y intercepts, we can write an y = mx + b equation using the slope we just found because m = slope and b = y intercept. Using the points given, the x intercept is -2 and the y intercept is 4. So, if m = 2 (slope) and b = 4 (y intercept) Then our equation is y = 2x + 4

Pre-Algebra

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Question:

A car is traveling at a constant rate of speed. It travels 60 feet in 24 seconds. How many feet will it travel in 36 seconds?

Lee C.

Answer:

D = RT (Distance = Rate x Time) 60ft = R x 24s 60ft/24s = R 5ft/2s = R D = (5ft/2s) x 36s D = 180/2 D = 90ft

Algebra

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Question:

Evaluate f(2) - f(1) if f(x) = 6x + 1

Lee C.

Answer:

f(x) = 6x + 1 f(2) - f(1) = (6(2) + 1) - (6(1) + 1) f(2) - f(1) = (12 + 1) - (6 + 1) f(2) - f(1) = (13) - (7) f(2) - f(1) = 6

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