Answers edited by Bill Jorgensen

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• Is the function #f(x) = (1/5)^x# increasing or decreasing?
  
• How do you simplify #sqrt(8/36)#?
  
• Help! The slant asymptote of #f(x)=(6x^3-5x^2+3x)/(3x^2-x-14)# intersects f where x=?
  
• Have this percentage word problem. A patient receives 65 grams of meds. If the dose is increased 20%, how many grams of meds will the patient receive on the next dose?
  
• What are the important points needed to graph # y = 3( x + 1 )^2 -4#?
  
• Find the area enclosed by the graphs of each of the following y=x+1,line x=-2, x=2 and y=x²-1 ?
  
• Max has 100 square inches of aluminum with which to make a closed cylinder. If the radius of the cylinder must be 2 inches. How tall will the cylinder be?
  
• Which equation should be used to graph y=sec^-1(x) on a calculator?
  
• What are the asymptotes and removable discontinuities, if any, of #f(x)=1/(8x+5)-x#?
  
• How do you solve #3| 4x - 3| - 4= 6#?
  
• Of 3,600 students surveyed, 40% eat cold pizza for breakfast. How many students do not eat cold pizza for breakfast?
  
• What is the history of FOIL? and why does it seem to be emphasized over more general methods of multiplication (like use of the distributive property or tabular multiplication)?
  
• The summit of Mauna Kea is approximately 13,796 ft above sea level. What is the distance from the summit to the horizon, rounded to the nearest mile?
  
• How do you find the vertex of the parabola #y = x^2 - 4x#?
  
• How can I find the horizontal intercept of the equation #y=-4x^2-8x+12# algebraically?
  
• Complete the square to write the equation "y=3x^2+6x-24" in graphing form?
  
• How do you write #0.00234# in scientific notation?
  
• How do you simplify #-n + 24= 5( - 6n - 1)#?
  
• Please help?
  
• How do you simplify #sqrt(2u^3 w^2)*sqrt(10u^6 w^4)#?
  
• How do you graph #y=1/2cosx+3#?
  
• How do you multiply and simplify #\frac { x ^ { 2} - 7x - 30} { x ^ { 2} - 4x - 21} \cdot \frac { 14- 2x } { x ^ { 2} - 19x + 90}#?
  
• How do you divide #\frac { x ^ { 2} - 4} { x ^ { 2} + 7x + 10} \div \frac { x } { x + 5}#?
  
• How do you rationalize the denominator and simplify #(1+sqrt5)/(10+4sqrt15)#?
  
• What will happen when the universe stops expanding?
  
• What is the vertex of #y= -3x^2 + 2x − 4#?
  
• An equation of a line perpendicular to the line represented by the equation #y=-1/2x - 5# and passes through #(6,-4)# is what?
  
• Is the equation below a function or not ? Explain
  
• Graph the function and identify the domain and range? y=-0.25x^2
  
• What is the equation of a line that has an x-intercept of -2 and a y-intercept of -5?
  
• What is the equation of a quadratic function whose graph passes through (-3,0) (4,0) and (1,24)? Write your equation in standard form.
  
• How do you rationalize #sqrt(14/x)#?
  
• How do you write # y = 2x^2 + 3x − 5# in vertex form and identify the vertex, y intercept and x intercept?
  
• How do you write the quadratic in vertex form given #y=3x^2-12x+4#?
  
• #root(3)(20x^2y^7)*root(3)(50x^4y^2)# = ?
  
• What is the vertex form of #y=6x^2+14x-2#?
  
• How do you find the domain and range of #f(x) = 2 / (1 - x²)#?
  
• What is the domain and range of #f(x)=x-11#?
  
• How do you graph #y=5+sin(1/2x)#?
  
• What is the equation in point-slope form and slope intercept form of the line given slope -2, (3, 1)?
  
• How do you graph #y=-5cos(1/2)x#?
  
• What are the asymptotes and removable discontinuities, if any, of #f(x)= (2x-e^x)/(2-e^x) #?
  
• How do you find the slope that is perpendicular to the line #-25 + 8x = 5y#?
  
• What are the vertical and horizontal asymptotes of #y = (x+3)/(x^2-9)#?
  
• How do you find the domain and range of #h(x) = 3x+9 #?
  
• In Hawai's Kona Iron Man competition, Gretchen swims the first #1/7# of a mile in 70 minutes. At this pace, how many minutes will it take for Gretchen to swim the entire #2 2/5# mile course?
  
• What are the asymptotes and removable discontinuities, if any, of #f(x)=(x^2+1)/(x^2-1)#?
  
• Why zero can't be divided by itself ?
  
• A function is defined by f(x), value given when f(-2)=9? Hence find f(x)=0?
  
• What is the area of a circle with a circumference of 56.52 inches (in.)? Use 3.14 forimage.
  
• How do you factorize 36squared - 49squared?
  
• What is the equation of the line between #(12,23)# and #(9,14)#?
  
• How do you solve #\frac{5x - 3}{2} = \frac{x + 4}{3}#?
  
• What is the factored form of #x^2-8x+12#?
  
• What is the the vertex of #y = -12x^2 - 4x-5#?
  
• Simplify 8-(-5)-4(-7)?
  
• How do you simplify #(3(y^2) - 3) / ((y^2) - 1)# and what are the restrictions?
  
• How do you write and graph a function that translates #y=sqrtx# by shifting 6 units down?
  
• How do you find the x-coordinate of the vertex for the graph #4x^2+16x+12=0#?
  
• How to write an equation for a rational function with: vertical asymptotes at x = 3 and x = -5?
  
• How do you write 31/8 as a mixed number?
  
• How do you solve #(3y-4)/0.2-8>12# and graph the solution on a number line?
  
• Graph 2=x+y?
  
• How to use the discriminant to find out how many real number roots an equation has for #a^2 + 12a + 36 = 0#?
  
• How do you solve 2x^2-10x=-12 by completing the square?
  
• How do you solve #-3y=-4# and #-3x+5=-2#?
  
• How do you graph #10x=-5y# using the x and y intercepts?
  
• What is the slope and y-intercept of the linear equation #y=3x-2#?
  
• How do you solve using the completing the square method #x^2- 10x = -8#?
  
• How do you factor the trinomial #r^2 + 15r + 54 = 0#?
  
• How do you find #|-100|#?
  
• How do you solve #10=-3z-8#?
  
• How do you add #\frac { 4} { ( x + 3) ( x + 2) } + \frac { 16} { ( x + 2) ( x - 2) }#?
  
• How do you simplify #\frac { 3\sqrt { 3} + \sqrt { 2} } { 3- 4\sqrt { 5} }#?
  
• What is the square root of -16 times the square root of -10?
  
• How do you find the slope given (-2, 3) and (3, -2)?
  
• What are the x and y intercepts of the linear equation: #-y=(3x+6)-12#?
  
• What are the asymptotes of #(x^2 - x + 2)/ (3x - 3)#?
  
• When was our moon formed?
  
• How do you find the domain of #f(x)=3x+6#?