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?