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Question # 00007399
Subject: Mathematics
Topic: General Mathematics
Due on: 02/27/2014
Posted On: 01/28/2014 10:07 AM

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Please show all of the calculations with answer

1.Solve the expression: 5(B – 4) = 10


2.Solve the following equation for the variable L : p = 2L + 2w


3.Complete the following table for the equation y = x-3


X Y
-1
0
4


4.Find the slope-intercept equation of the line passing through (1,2) with a slope of m = 3?


5.Draw the graph of the following linear function and give the domain and range: f(x) = - ½x+5


6.Solve the following equation: | x| = 3


7.Evaluate the following expression when x = 3 and y = 2: 2xy – x² y


8.Completely factor the following expression: 16x^4 – 81y^4


9.Perform the following division: (y² + 10y + 21 )÷ (y + 7)


10.Solve the inequality below and write the solutions in interval notation: |2m + 3| < 13


11.Write the numeral 0.03685 in scientific notation


12. Given f(x) = -6x-1, find f(2)


13. Write the equation of the line with a slope of 2 and passing through the point (-5, 3).

14. Solve the system of equations given below :

X + 3z=12

-x-2y+z=10

3x+5y+2z= -7

15. Do the following lines intersect? Yes or no, together with the point of intersection, if any exixts.

5x+8y = -5

-x -1.6y = 14

16. Compute the determinant :

4 0 -1

3 6 -2

-2 5 1

17. Compute the distance between the two points (1-?2 , -1) and (2+?2, 4)

18. Rationalize the denominator of 2?7

X+?7

19. At what x values does the parabola y= x² - 5x +4 intersect at the y axis?

20. The surface area (A) of a sphere with radius (R) is given by A = 4 ?r². Solve this formula for R.

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Posted On: 01/28/2014 10:08 AM
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Tutorial Preview … value of the y-intercept. Since the slope is given as m = 3, the equation for this line has the form: y = 3x + b Substituting in the given point (1, 2) gives: 2 = 3(1) + b 2 = 3 + b Solving for b gives: b = 2 – 3 b = -1 Substi…
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