Answers created by moutar

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• How do you translate the following statement "The total of twice a number and six is fourteen" into an algebraic expression and then find the number?
  
• What is #x# in the equation #1000 = (x - 8) ^(3/2)#?
  
• How do you solve #2x - ( 4x - 12) = 3#?
  
• I have six full boxes of counters and one box with eight counters missing. There are 132 counters altogether. How many are in each full box?
  
• Rectangular playing field has an area of 4000m². It is 40m longer than it is wide. If its width is w, solve the equation w(w + 40) = 4000 to find the length and width of the field to the nearest metre. Initially try w = 50?
  
• What is the square root for 40.5?
  
• How do you determine #sectheta# given #costheta=2/3,0^circ<theta<90^circ#?
  
• How do you simplify #-( 6a + 6) - 3( a - 7)#?
  
• What is the mode of 12, 13, 14, 14, 15, 15, 16, 17?
  
• What's the derivative of #f(x) = sin (arctan (x/(sqrt(3))))#?
  
• How do you solve #cos x cscx = 2cosx#?
  
• How can you use trigonometric functions to simplify # 9 e^( ( 3 pi)/4 i ) # into a non-exponential complex number?
  
• What is the derivative of #arctan (8/x^2)#?
  
• What is #int (4x^3 + 5)/(x^4 + 5x) dx#?
  
• How do you solve #8/n = 12/3#?
  
• What is the distance between #(8, 6, 0) # and #(0, 4, –2) #?
  
• How do you factor the expression #2x^2-9x+4#?
  
• How do you find the midpoint of (-3, 7) and (4, -5)?
  
• Which has more momentum, an object with a mass of #3kg# moving at #4m/s# or an object with a mass of #2kg# moving at #6m/s#?
  
• How do you solve #3.5(x-8/4) = 2.8#?
  
• How do you find the slope of the line through the points (2,4) and (-6, -3)?
  
• How do you find the zeros, real and imaginary, of #y=8x^2-4x-11# using the quadratic formula?
  
• What is the domain and range of #h(x) = (x^2 - 3x - 4) / (x - 4)#?
  
• What is the domain and range of #y= 1/2 x- 2#?
  
• What is the second derivative of #f(x)=x^2/(x^2+3) #?
  
• How do you use PEMDAS to simplify #(7+2)^2#?
  
• If a projectile is shot at an angle of #pi/4# and at a velocity of #16 m/s#, when will it reach its maximum height??
  
• A ball with a mass of #15 kg# moving at #4 m/s# hits a still ball with a mass of #24 kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?
  
• Question #d6180
  
• How do you differentiate # f(x)=e^sqrt(3lnx+x^2)# using the chain rule.?
  
• How do you differentiate #f(x) = x^3/sinx# using the quotient rule?
  
• How do you use the factor theorem to determine whether x-1 is a factor of # P(x)=x^3 - 3 x^2 + 10 x - 8#?
  
• What is the sum of the arithmetic sequence 308, 304, 300, …, if there are 25 terms?
  
• How do you solve #.5(6^x) = 2^x#?
  
• How do you differentiate #f(x)= ln(tanx-x^2) #?
  
• For what values of x, if any, does #f(x) = 1/((x-6)(x^2-9)) # have vertical asymptotes?
  
• How do you convert -210 degrees to radians?
  
• How do you simplify #(4 + i) - (-3 + 2i) #?
  
• The ends of diameter (6,5) and (-12,-5), how do you find the equation of this circle?
  
• If (3 - 2i) is a solution to a polynomial equation, is the complex conjugate, 3 + 2i, also a solution?
  
• How do you solve the following system?: # -4x+6y=8 , x-5y=4 #
  
• How do you factor #x^6 - 8y^3#?
  
• How do you find the inverse of #f(x)= (2x+1)/(x-3)#?
  
• What is the definite integral of #1/(36+x^2)# with bounds #[0, 6]#?
  
• How do you simplify #(a^-1 + b^-1)^-1#?
  
• How do you find the sum of the infinite geometric series 72 + 12 + 2 + +… ?
  
• What is the equation of the line with slope # m= -2/7 # that passes through # (3/4,-1/7) #?
  
• How do you solve #p - 4/9p = -7/9#?
  
• What is the derivative of #f(t) = (t-lnt, t^2sint ) #?
  
• What is #(x^3+ 3x^2+3 x+ 4)-:( x+2)#?
  
• If sec(t) = 3, how do you find the exact value of #tan^2 (t)#?
  
• How do you find all the real and complex roots of #x^2 + 8x + 25 = 0#?
  
• How do you simplify #20-3*-70/11#?
  
• How do solve the following linear system?: # -2x -8y = 4 , 3x-y=3 #?
  
• How do you factor the trinomial #x^2 + 9x +14#?
  
• What is #(5.24 * 10^4)+(2.897 * 10^2)+(7.10 * 10^-3)#?
  
• How do you solve #9/2x+2=8/x#?
  
• What is the distance between #(1,5)# and #(4,2)#?
  
• How do you find the slope and the y-intercept y=-4x-9?
  
• How do you differentiate the following parametric equation: # x(t)=t/(t-4), y(t)=1+t #?
  
• How do you solve the rational equation #(y+2)/y = 1/(y-5)#?
  
• What are the mean and standard deviation of a binomial probability distribution with #n=777 # and #p=19/21 #?
  
• How do you solve the following system: # -6x + 5y = 4 , x-10y=10 #?
  
• For what values of x, if any, does #f(x) = 1/((x+8)(x-2)) # have vertical asymptotes?