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 Linear-equations/312773: 1. Match the number on the left with the proper combination of number types on the right. (5 points) A. Real, Rational, Integer, Whole, Natural or Counting B. Real, Rational, Integer, Whole C. Real, Rational, Integer D. Real, Irrational E. Real, Rational Sqrt 15 (Sqrt stands for the square root of a number) 15 5/4 -10 0 2. Solve the equation for x. 4-3(x+1) = 2x (1.0 points) A) x=-1 B) x=1/5 C) x=1 D) none of the above 3. Solve the equation for x. 2x-7 = 2x+3 (1.0 points) A) x=10 B) x=0 C) x=any real number D) no solution 4. Solve for x. 4-5x > -6 (1.0 points) A) x>2/5 B) x<2 C) x>2 D) none of the above 5. Solve for x. 3x-5 < 1 and -2x < 4 (1.0 points) A) x<2 and x<-2 B) x<2 and x>-2 C) x<-4/3 and x<-2 D) none of the above 6. Describe the graph of the solution to the combined inequality. 2x < -4 and 2x < 8 (1.0 points) A) open dot on -2 & 4, and a line between them B) open dot on -2 and arrow to the left C) open dot on 4 and arrow to the left D) none of the above 7. Solve for B. Ax + By = C (1.0 points) A) B = Ax-C B) B = (-Ax+C)/y C) B = C - Axy D) none of the above 8. If y varies jointly as x and z, what is the expression for k? (1.0 points) A) k=xyz B) k=(xy)/z C) k=y/(xz) D) none of the above 9. If f(x)= 2x-3 and g(x)= -4x, find g[f(-2)]. (1.0 points) A) -56 B) 13 C) 28 D) none of the above 10. Find the inverse of the function given. f(x)= 3x+5 (1.0 points) A) y=-3x+5 B) y=-3x-5 C) y=(x-5)/3 D) none of the above 11. Find the slope and the y-intercept of the equation. 2x-3y = 6 (1.0 points) A) m=2/3, b=6 B) m=2/3, b=-2 C) m=2, b=6 D) none of the above 12. Write a line parallel to y = 2x-4 and passing through the point (2,3) (1.0 points) A) y=(1/2)x-1 B) y=2x-3 C) y=2x-1 D) none of the above 13. What is the slope of the line perpendicular to y =(3/4)x-7. (1.0 points) A) -4/3 B) 3/4 C) 4/3 D) none of the above 14. Match the example to the property it represents. (5 points) A. Reflexive property of equality B. Commutative property of addition C. Distributive property D. Inverse property of addition E. Transitive property of equality 3+7+2=3+2+7 4+(-4)=0 3x=3x If 3=5-2 and 5-2=6*(1/2) then 3=6*(1/2) 3(x-6)=3x-18 15. If x varies directly as y, and x=1 while y=15, what is x if y=5 (1.0 points) A) 1/15 B) 3 C) 1/3 D) none of the above 1 solutions Answer 223626 by Fombitz(13828)   on 2010-06-09 08:58:45 (Show Source): You can put this solution on YOUR website!Please re-post your question and be specific about the problems you are having. Use the other posts as a guide to what is appropriate. Include any partial work you may have completed showing where you're stuck. Don't just list 15 questions and expect solutions.
 Linear-equations/312775: Which of the following relations is NOT a function? (2.0 points) A) an ascending line B) a descending line C) a horizontal line D) a vertical line 2. An example of a joint variation, with y as the dependent variable would be __?__ (2.0 points) A) y= 2xz B) xy = 2 C) x/y = 2 D) square root of x/y = 2 3. Which of the following is NOT an example of an Irrational Number? (2.0 points) A) 4.2 B) square root of 5 C) 5.212573... D) pi 4. The name of an algebraic property and an example are given. Which one is incorrect? (2.0 points) A) Distributive Property -> 4(x+3)=4x+12 B) Associative Property of Addition -> 4+(2+3)=(2+3)+4 C) Inverse Property of Addition -> 4+(-4)=0 D) Commutative Property of Addition -> 4+(2+3)=4+(3+2) 5. When solving an equation like 2x+10=2(x+5), and, when simplified, you get x=x, 10=10, or 0=0, what is the solution for x? (2.0 points) A) no solution B) x=any real number C) x=10 D) x=0 6. Which of the following would be the inequality which expresses this graph? (2.0 points) A) x<5 B) x>5 C) x<=5 D) x>=5 7. Which of the following inequalities is expressed by this graph? (2.0 points) A) -2 < x < 4 B) -2 <= x <= 4 C) -2 > x > 4 D) -2 >= x >= 4 8. When solving for "a" in the equation , what mathematical operation is performed? (2.0 points) A) subtract b squared from both sides of the equation and then square both sides of the equation B) subtract b squared from both sides of the equation and then take the square root of both sides of the equation C) take the square root of both sides of the equation and then subtract b squared from both sides of the equation D) square both sides of the equation and then subtract b squared from both sides of the equation 9. The equation C=3.14d is an example of a __?__ variation where the constant of variation, 3.14, is the approximation for pi. (2.0 points) A) Direct B) Inverse C) Joint D) Combined 10. Which of the following is the inverse function of f(x)=2x-3? In other words, find f -1(x). (2.0 points) A) 2y-3 B) (x-3)/2 C) (x+3)/2 D) 2(x+3) 11. In the graph, which of the following is NOT true? (2.0 points) A) m = 2 B) m = -2 C) b = 5 D) descending line 12. Which of the following is an equation of a horizontal line? (2.0 points) A) y=4 B) x=6 C) x+y=2 D) y=2x+3 13. What is the equation of the x axis? (2.0 points) A) x = 0 B) y = 0 C) x + y = 0 D) There is no equation 1 solutions Answer 223625 by Fombitz(13828)   on 2010-06-09 08:57:47 (Show Source): You can put this solution on YOUR website!Please re-post your question and be specific about the problems you are having. Use the other posts as a guide to what is appropriate. Include any partial work you may have completed showing where you're stuck. Don't just list 15 questions and expect solutions.
 decimal-numbers/312765: Perform the indicated operation. 1 solutions Answer 223623 by Fombitz(13828)   on 2010-06-09 08:55:22 (Show Source):
 Graphs/312715: find the slope of the line through the pair of points (-5,5) and (-11,3)1 solutions Answer 223621 by Fombitz(13828)   on 2010-06-09 08:51:53 (Show Source): You can put this solution on YOUR website!The equation for slope of a line is,
 Complex_Numbers/312686: Simplify the complez fraction 5/x + 1/3x / 4/3x + 1/2x1 solutions Answer 223619 by Fombitz(13828)   on 2010-06-09 08:48:32 (Show Source): You can put this solution on YOUR website!Multiply the numerator and denominator by
 absolute-value/312634: What of the following are assymptotes of g(x)=1/x+5-2? a. x=0 and y=3 b. x=-5 and y=-2 c. x=5 and y=-2 d. x=0 and y=-31 solutions Answer 223618 by Fombitz(13828)   on 2010-06-09 08:44:35 (Show Source): You can put this solution on YOUR website!Is this the function?
 Radicals/312699: find all real solutions to each equation x^2+x+√x^2+x-2=01 solutions Answer 223617 by Fombitz(13828)   on 2010-06-09 08:43:39 (Show Source): You can put this solution on YOUR website!Graphing the function, it looks like there are no real solutions. The function never crosses the x-axis(=0). . . . Algebraically, No real solutions.
 Linear-systems/312700: Classify the following system of equations: 3x + 5y = 6 10y = 6x + 3 1 solutions Answer 223616 by Fombitz(13828)   on 2010-06-09 08:37:36 (Show Source): You can put this solution on YOUR website!Graphing them, they are a consistent independent system, that is, they have one solution.
 Equations/312764: how do i get the inverse of 6x-7/51 solutions Answer 223615 by Fombitz(13828)   on 2010-06-09 08:35:20 (Show Source): You can put this solution on YOUR website!Use x,y notation, Interchange x and y and solve for y. The new y is the inverse of the original function.
 Functions/312672: what is the domain of g(x)= 2x-3/ 7x + 20x^2 - 3x^31 solutions Answer 223613 by Fombitz(13828)   on 2010-06-09 08:30:08 (Show Source): You can put this solution on YOUR website!The domain is all x except those that make the denominator zero since division by zero is undefined. Three solutions: . . . . . . . . . The domain is all x except , , and . .
 Triangles/312759: http://i48.tinypic.com/14o2csm.png What is the measure of angle C in this triangle?1 solutions Answer 223612 by Fombitz(13828)   on 2010-06-09 08:23:55 (Show Source): You can put this solution on YOUR website!The sum of the angles in a triangle is 180 degrees.
 Linear-systems/312682: Write an equation of the line containing the given point and parallel to the given line? (-8,5)4x=5y+3.1 solutions Answer 223611 by Fombitz(13828)   on 2010-06-09 08:22:33 (Show Source): You can put this solution on YOUR website!Put the line in slope-intercept form, Parallel lines have identical slopes. The slope for the given line is Use the point-slope form of a line with the point (-8,5), . . . . . . or in standard form,
 Square-cubic-other-roots/312752: Let f (x)=4-2x^2 and g(x)=x+1. compute (f o g) (x)1 solutions Answer 223610 by Fombitz(13828)   on 2010-06-09 08:17:00 (Show Source):
 Probability-and-statistics/312756: The odds in favor of Galloping Glenn winning the horse race are 29.3 Determine the probability that Galloping Glenn wins the horse race. 29/3?1 solutions Answer 223609 by Fombitz(13828)   on 2010-06-09 08:15:25 (Show Source): You can put this solution on YOUR website!Odds are given as outcomes for the event to outcomes against the event. 29 outcomes he wins, 3 outcomes he loses. Probabilities are given differently. P(Win)=Wins/Total Outcomes=Wins/(Wins+Losses)=
 Probability-and-statistics/312755: A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a red marble? If a red marble is drawn the first time and then a second marble is drawn without replacement, what is the probability of drawing a yellow marble? Give solutions exactly in reduced fraction from separated by a comma? I do not have a clue?1 solutions Answer 223608 by Fombitz(13828)   on 2010-06-09 08:13:01 (Show Source): You can put this solution on YOUR website!5 yellow, Y 16 green, G 2 red, R Add them up to get 23 total marbles. P(event)=number of outcomes of that event/total outcomes. . . . 1. So the chance of drawing a red marble is, P(R)=Red Marbles/Total Marbles= . . . Once you chose a red marble and don't replace it, the marble count changes, you then have 1 red marble and 22 total marbles. The probability of picking a red then changes to P(R)=. The total probability of picking two reds in a row is the product of both probabilities. P(2 R)= . . . P(Y)=Yellow marbles/Total marbles= . . . Just for fun, P(G)=Green marbles/Total marbles=. Also note, P(Y)+P(R)+P(G)= which means that picking a marble gives you 100% chance of picking either a yellow one, a red one, or a green one, since those are the only choices available.
 Functions/312742: --------------- QUESTION FOLLOWS -------------------------- Given the linear function f(x)= -1/2x-4: a) find f(-4) b) Determine the coordinates of the x-intercept c) Determine the coordinates of the y-intercept d) Determine the slope e) Determine the slope of a line perpendicular to this line. *** Can you explain your answers to help me understand better?1 solutions Answer 223605 by Fombitz(13828)   on 2010-06-09 08:04:20 (Show Source): You can put this solution on YOUR website! a) Substitute -4 for every instance of x and simplify. . . b)To find the x-intercept, set f(x)=y=0 and solve for x. (-8,0) . . c)To find the y-intercept, set x=0 and solve for f(x) or y. (0,-4) . . d)The line is in slope-intercept form, , where m is the slope. . . e)Perpendicular lines have slopes that are negative reciprocals of each other. A line perpendicular to the given line will have a slope of . . . Here's a graph of the original line and a perpendicular line . . . . . The given line is in red (Note the x and y intercepts) The perpendicular line is in green.
 Polynomials-and-rational-expressions/312750: simplify x^2+7x+12/x^2+6x+81 solutions Answer 223602 by Fombitz(13828)   on 2010-06-09 07:56:30 (Show Source):
 absolute-value/312643: Which equals 2^x=3? a. x=2 b. x=log3+log2 c.x=logZ*Zlog2 d. x=log3/log21 solutions Answer 223600 by Fombitz(13828)   on 2010-06-09 07:55:18 (Show Source): You can put this solution on YOUR website! d) is the correct answer.
 Linear-equations/312745: Find the slope of the line whose equation is px - qy = r1 solutions Answer 223598 by Fombitz(13828)   on 2010-06-09 07:52:06 (Show Source): You can put this solution on YOUR website!Put the equation in slope-intercept form, . The slope of the line is
 Linear-equations/312747: http://i46.tinypic.com/24ccmk4.png Use this graph to answer questions 28–29. 28. What is the equation for this line? 29. What is the slope of this line? thank you Very much for your time,and help. :)1 solutions Answer 223597 by Fombitz(13828)   on 2010-06-09 07:50:24 (Show Source): You can put this solution on YOUR website!Let's do the slope first. Points (0,1) and (4,3) are on the line. Calculate the slope using those two points. Now use the point-slope form of a line,
 Linear-systems/312702: Please help me solve this: The length of a rectangle is 6 cm more than the width. The perimeter is 156 cm. Find the length of the rectangle. 1 solutions Answer 223584 by Fombitz(13828)   on 2010-06-09 00:13:44 (Show Source): You can put this solution on YOUR website!The perimeter of a rectangle is, The length is 6 cm longer than the width, Substitute and solve, Then from above,
 Linear_Equations_And_Systems_Word_Problems/312710: an airplane is 12000 ft horizontally from the airport. the slanted distance to the airport is 13000 ft. what is the plane's altitude? i need to know what formula to use, not necessarly the answer. I would really appreciate it. thanks!!!1 solutions Answer 223583 by Fombitz(13828)   on 2010-06-09 00:11:04 (Show Source): You can put this solution on YOUR website!The altitude and the horizontal distance are legs of a right triangle where the slanted distance is the hypotenuse. Use the Pythagorean theorem to solve for the altitude since the hypotenuse and the long leg of the triangle are known. Good luck!
 Polynomials-and-rational-expressions/312712: y^2-49/y divided by y-7/y+31 solutions Answer 223582 by Fombitz(13828)   on 2010-06-09 00:09:27 (Show Source): You can put this solution on YOUR website!Dividing by a fraction is equivalent to multiplying by its reciprocal,
 absolute-value/312639: Is (3x)^3 equal to: a.27x^3 b. 9x^3 c. 3x^3 d. none of the above1 solutions Answer 223580 by Fombitz(13828)   on 2010-06-09 00:05:07 (Show Source): You can put this solution on YOUR website! a) is the correct choice.
 Probability-and-statistics/312605: To estimate the average annual expenses of students on books and class materials a sample of size 100 is taken. The average is \$250 and the standard deviation is \$40. A 99% confidence interval for the population mean is?1 solutions Answer 223579 by Fombitz(13828)   on 2010-06-09 00:04:03 (Show Source): You can put this solution on YOUR website! . . . . . . (,)
 Graphs/312698: graph the set of data. decide whether a linear model is reasonable. if so, draw a trend line and write its equation {(1,7),(-2,1),(3,13),(-4,-3),(0,5)}1 solutions Answer 223578 by Fombitz(13828)   on 2010-06-08 23:56:09 (Show Source): You can put this solution on YOUR website! . . . Looks like a linear model would be a good choice. Sum of squares in x: Sum of squares in y: Sum of squares in xy: b= b'= r^2=b*b'= . . .
 Equations/312704: how do i solve 9x+6x-12x=-7x+2x-12+5x1 solutions Answer 223577 by Fombitz(13828)   on 2010-06-08 23:45:55 (Show Source):
 Graphs/312709: graph the absolute value inequality y < |x+2| +41 solutions Answer 223576 by Fombitz(13828)   on 2010-06-08 23:42:49 (Show Source):
 absolute-value/312640: 2x^2-5x-3= a. (2x+1)(x-3) b. (2x-1)(x-3) c. (2x-3)(x-1) d. (2x-3)(x+1)1 solutions Answer 223575 by Fombitz(13828)   on 2010-06-08 23:39:42 (Show Source): You can put this solution on YOUR website! . . a) is the correct factoring.
 absolute-value/312638: What is the complete factorization of 3x^2-24x+45?1 solutions Answer 223574 by Fombitz(13828)   on 2010-06-08 23:37:48 (Show Source):