Answers edited by Nallasivam V

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• How do you determine equations for the tangents to the points on the curve #y=-x^4+8x^2# such that the tangent lines are perpendicular to the line x=1?
  
• What is the vertex form of #y=x^2-x-72 #?
  
• How do you solve the simultaneous equations #6x + 2y = 50# and #2x + 4y = 20#?
  
• How do you find the equation of a line tangent to the function #y=x^3-5x# at x=1?
  
• A group of 62 randomly selected students have a mean score of 28.3 on a standardized placement test. The population SD for all students taking the test is #sigma = 3.4#. What is the 90 percent confidence interval for the mean score?
  
• Question #bdd78
  
• A bin contains 71 light bulbs, of which 9 are defective. If 6 light bulbs are randomly selected from the bin without replacement of the selected bulbs, what is the probability that all of the selected bulbs are good?
  
• How can I use confidence intervals for the population mean µ?
  
• How to determine the number of solutions in a linear system without solving: 14x + 3y = 12 and 14x - 3y = 0?
  
• What is the value of the expression 2x^2+3xy-4y^2 when x = 2 and y = - 4?
  
• How do you solve #x^2 – 5x – 1 = - 7# using the quadratic formula?
  
• Question #589e3
  
• How do you find the x and y intercepts for #3x+9y=9#?
  
• What is the vertex form of #y= 2x^2+7x-15#?
  
• How do you find the slope for (-3,3) & (-8,-2) ?
  
• How do you find slope and y-intercept of #y=-3#?
  
• What is the axis of symmetry and vertex for the graph #y=x^2 +2x -5#?
  
• Mark’s scores on his first nine assignments are: 10,10,9,9,10,8,9,10,and 8. What are the mean, median, mode, and range of his scores?
  
• What is the equation of the line that is perpendicular to #2y=-6x+8# if its #y#-intercept is #5#?
  
• How do you find and classify all the critical points and then use the second derivative to check your results given #y=x^2+10x-11#?
  
• How do you find the exact relative maximum and minimum of the polynomial function of #f(x)=4x-x^2#?
  
• How do you simplify #9-(x+7)#?
  
• How do you solve the system of equations: 4y=5x-1 and 3x-2y=1?
  
• How do you write #y + 2 = 4(x+2)# in standard form?
  
• How do you solve #x^2 + 3x - 4 = 0# graphically and algebraically?
  
• How do you find the derivative of #sqrt(1-2x)#?
  
• What is the expected value and standard deviation of X if P(X=0) = 0.31, P(X-1) = 0.45, P(X=2) = 0.24?
  
• What is the equation of the normal line of #f(x)=2x^4+4x^3-2x^2-3x+3# at #x=1#?
  
• The length of a screw produced by a machine is normally distributed with a mean of 0.25 inches and a standard deviation of 0.01 inches. What percent of screws are between 0.24 and 0.26 inches?
  
• Question #1ed27
  
• What is the long-run equilibrium for a monopolistic market?
  
• How do you graph the function #y=5x+1#?
  
• How do you identify the important parts of #Y = x^2 - 4x+5 # to graph it?
  
• How do you solve 3x + 2y = -2 and -2x - 4y = 0?
  
• How do you find the intercept and vertex of #y= -x^2 + 9#?
  
• How do you solve #6x+3y=54# & #5x+2y=43# using matrices?
  
• How do you write 9x³+6x²-3x in factored form?
  
• How do you solve #9x^2 = x^3 #?
  
• What is the derivative of #y= e^(3x/4)#?
  
• Question #60a21
  
• How do you solve the system of equations #3x + 5y - 30 = 0# and #x - y - 2 = 0#?
  
• How do you graph the parabola #f(x)=x^2-2x-15# using vertex, intercepts and additional points?
  
• How can supply be relatively elastic?
  
• How do you find the derivative of #Y= ( x^3 + 5x^2 - 3 )( x^2 - 1 )^5#?
  
• What is the the vertex of #y = 7x^2 - 28x - 60#?
  
• How do you find the slope and y intercept for: #x+y =2#?
  
• If a group of data has a mean of 9 and a standard deviation of 2.5, what is the interval that should contain at least 93.8% of the data?
  
• How do you factor the trinomial #x^2-22x+121#?
  
• How do you find the slope and equation of the tangent line to the curve #y=9-2x^2# at the point (2,1)?
  
• What are the local extrema of #f(x)= x^2(x+2)#?
  
• How do you solve #y = x - 7#, #y = -2x + 5# by graphing and classify the system?
  
• How do you graph 4x=-y+2 by plotting points?
  
• How do you write the equations of a line passing through (2,5) and (1,3) in standard form?
  
• How do you find the slope for (2,4) and (4,-2)?
  
• How do you solve the system of equations #x+y=8# and #x-2y=-4# by graphing?
  
• How do you find the slope for (7, -2) and (-3, -6)?
  
• How do you find the equation of the line tangent to the graph of #f(x) = 6 - x^2# at x = 7?
  
• What happens to prices when excess capacity is present in a monopoly?
  
• How do you find the vertex and axis of symmetry, and then graph the parabola given by: # h(x)=-2(x-1)^2-3#?
  
• How do you find the slope of the line #6x-7y=10#?
  
• Question #a97ea
  
• A point on a graph (2, 4) that point is located in what quadrant?
  
• How do you graph the function #f(x)=4x-2#?
  
• What is the vertex form of #y=4x^2-49x - 5 #?
  
• How do you solve (X-1)/2 + (y+2)/3 = 4 and X-2y =5?
  
• How do you solve the system of equations: y = 5x – 4, y = 5x – 5?
  
• How do I use matrices to solve the system #2x+3y=4# and #5x+8y=11#?
  
• How do you write #2x^2 – 6x – 8 # in factored form?
  
• Using the following data set, which values have a z-score over 2? 144, 160, 154, 162, 179, 148, 197, 177, 166, 173, 154, 184, 183, 132, 157, 129, 151, 162, 209, 159, 150, 190, 175, 136, 117
  
• Why is important to perform a hypothesis test about a standard deviation?
  
• How do you graph the parabola #y= (x + 3)^2 - 2# using vertex, intercepts and additional points?
  
• How do the income and substitution effects affect quantity demanded for luxury goods?
  
• A fair coin is tossed 30 times What is the probability that the coin will show heads fewer than 17 times?
  
• How do you simplify #6x*7 - 3(4 + 1)#?
  
• How do you simplify #-3x^3(x-2)^2(x+7)#?
  
• What is the variance of the following probability distribution?: p(0)=0.05, p(2)= 0.17, p(4)= 0.43, p(6)= 0.35?
  
• What is the equation of the line normal to #f(x)=-2x^2 +3x - 4 # at #x=-2#?
  
• What is the z-score of sample X, if #n = 54, mu= 37, St. Dev. =30, and mu_X =42#?
  
• How do you graph #f(x) = 2x^2 - x - 1 #?
  
• Why is marginal revenue less than price in a monopoly?
  
• Question #9eaa0
  
• What happens when price falls in a marginal utility scenario?
  
• Question #e49ee
  
• What are the mean and standard deviation of a binomial probability distribution with #n=112 # and #p=15/37 #?
  
• How do you graph #y = 5x - 2 #?
  
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