Answers created by Rohan N.

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• How do you solve #7+ 4y = 39#?
  
• What is meant by the term "least squares" in linear regression?
  
• Why is the ordinary least squares method used in a linear regression?
  
• How do I perform linear regression on data?
  
• Based on the estimates log(2) = .03 and log(5) = .7, how do you use properties of logarithms to find approximate values for #log(80)#?
  
• How do you solve #4(7^(x + 2)) = 9^(2x - 3)#?
  
• How do you graph #f(x)=2/(x-1)# using holes, vertical and horizontal asymptotes, x and y intercepts?
  
• How do you solve for a in #x= -b/2a#?
  
• How do you combine #\frac { 3} { x - 6} - \frac { 3} { x + 2}# into one expression?
  
• How do you solve #2x - 24= x#?
  
• How do you find the derivative of #cos((1-e^(2x))/(1+e^(2x)))#?
  
• What is the implicit derivative of #1= x/y-e^(xy) #?
  
• How do you graph # y=4cos(2x-1)+3#?
  
• Given #f(x) = root3x#, what is the translation of #g(x) = 5root3(x+2) - 2#?
  
• How do you find the vertex and intercepts for #y = 2(x - 3)^2 + 1#?
  
• How do you find #f^-1(x)# given #f(x)=-1/x^2#?
  
• How do you implicitly differentiate #4=y-(x-e^y)/(y-x)#?
  
• Could you give me details of the answer?
  
• Can you graph?
  
• How do you multiply polynomials #(x^2 + 2x - 1)(x^2 + 2x + 5)#?
  
• How do you translate "five times k" into an algebraic expression?
  
• How do you graph #f(x)=-2(3^(x+1))+2# and state the domain and range?
  
• How do solve the following linear system?: # x-3y=-2 , 3x-y=7 #?
  
• How do you solve 8-2x is greater than or equal to -4?
  
• What are the asymptote(s) and hole(s), if any, of # f(x) =(x^2-x-2)/(x+2)#?
  
• How do you graph #y=5+3/(x-6)# using asymptotes, intercepts, end behavior?
  
• What are the asymptote(s) and hole(s), if any, of # f(x) =x/(x^3-x)#?
  
• What is the range of #y = -2 cos 3x#?
  
• How do you factor #g^4-1#?
  
• What is the the vertex of #y = 2x^2-6x #?
  
• What is the slope and y-intercept of the equation #f(x)=\frac{3x+5}{4} #?
  
• How do you graph #tan(x/2) + 1#?
  
• How do you solve the system #x+5y=4# and #3x+15y=-1# using substitution?
  
• What is the slope of the line passing through #(0,-1); (4,7)#?
  
• How do you find the fourth derivative of #-5(e^x)#?
  
• What is the amplitude, period and the phase shift of #y=cos2x#?
  
• How do you graph using the intercepts for #-x+3y=-5#?
  
• What is an infinite limit?
  
• What is the slope of any line that is perpendicular to a line with a slope of #-4/3#?
  
• How do you simplify #\frac { 2x y ^ { 0} } { 3x ^ { 5} }#?
  
• How do you find the slope given #2x-3y=12#?
  
• What is the slope and intercept of # y=5x#?
  
• How do you solve #w = - 10+ 4w#?
  
• How do you solve #-3.4+ x = 4.2#?
  
• If sinx=55/65 then sinx +cosx = ?
  
• How would one complete the square: #x^2 + 6x +# _?
  
• How do you find the reciprocal of 12?
  
• If #f ( x ) = \frac { x - 3} { x }# and #g(x) = 5x-4#, what is the domain of #(f*g)(x)#?
  
• A line passes through #(4 ,3 )# and #(2 ,5 )#. A second line passes through #(5 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?
  
• How do you solve the system of equations #5x - 3y = 0# and #- 5x + 12y = 0#?
  
• A triangle has sides A, B, and C. Sides A and B are of lengths #1# and #3#, respectively, and the angle between A and B is #(5pi)/6 #. What is the length of side C?
  
• How do you simplify #((3x^2)(6y^4)(z^2))/((12x)(3y^2)(z))#?
  
• A line passes through #(8 ,1 )# and #(6 ,4 )#. A second line passes through #(3 ,5 )#. What is one other point that the second line may pass through if it is parallel to the first line?
  
• Derivative of f(x)=e^x^2?
  
• How do you multiply # sqrt 2 / sqrt 10#?
  
• How do I find the asymptotes of #y=1/((x-1)(x-3))#?
  
• How do you graph # y=1+sin(1/2x)#?
  
• How do you find the domain and range for #y = -sin 0.25x#?
  
• What is the instantaneous rate of change of #f(x)=3x+5# at #x=1#?
  
• 9 is what percent of 16?
  
• What is the equation of the tangent line of #f(x)=3x^2# at #x=1#?
  
• Standard form to vertex form??
  
• How do you find the derivative of #f (x) = 3x^5 + 4x# using the limit definition?
  
• If 26 percent of a number is 65, find the number ?
  
• How do you use transformation to graph the cosine function and determine the amplitude and period of #y=cos(-4x)#?
  
• How do you simplify #\sqrt { \frac { 1} { 64} }#?
  
• How do you factor #a^2b + 2ab - 15b#?
  
• What is the equation of a line that has a slope of 4 and a y-intercept of -2?
  
• How do you find the domain of #sqrt(x+4)#?
  
• How do you simplify #(t^2-5t-6)/(t^2-7t+6)#?
  
• What is a solution to the differential equation #y'=1/2sin(2x)#?
  
• How to use the discriminant to find out what type of solutions the equation has for #3x^2 - x + 2 = 0#?
  
• How do you use the product rule to differentiate #y=(x+1)^2(2x-1)#?
  
• Help! Let f(x) be a function with domain [-3, ∞ ) and range (- ∞ , 2). If g(x) = f^-1 (x) (aka. g(x) is the inverse of f(x)), then what is the domain of g(x+4)-7 ?
  
• How do you find the slope of the line passing through the points (-7,3) and (3,8)?
  
• What is the slope and intercept for #y=1/4x+5# and how would you graph it?
  
• How do you graph # y=cos(x+pi/2)#?
  
• How do you use transformation to graph the sin function and determine the amplitude and period of #y=-4sin(2x)+2#?
  
• How do you divide #a/(a-b)diva/b#?
  
• How do you determine the domain and range of a function when given a graph?
  
• How do you solve #6x^2-21x+15=0#?
  
• How do you find the vertex of # y=x^2+10x+21#?
  
• How do you find f' if #f(x)=cos^2(3sqrt x )#?
  
• Periodic Table Trends 1. What is the trend in ionic radius across a period? Down a group? 2. What is the trend in electronegativity across a period? Down a group? Using your knowledge of atomic structure, what the explanation for this trend?
  
• How do you solve for #B# in #A=3(B+C)#?
  
• What is the trend in atomic radius across a period? Down a group? Using your knowledge of atomic structure, what the explanation for this trend?