Answers edited by Tony B

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• Petra is 4 times as old as Philippa. In 8 years time she will be 5 times as old as Philippa. How old are Philippa and Petra?
  
• How do you combine #sqrt18-sqrt8#?
  
• How do I find the sixth term of a geometric sequence for which #t_5 = 24# and #t_8 = 3#?
  
• How do you identify the oblique asymptote of #( 2x^3 + x^2) / (2x^2 - 3x + 3)#?
  
• How do you find the slope and y intercept for: #8x-12y = 24 #?
  
• What is the implicit derivative of #25=sin(xy)/x-3xy#?
  
• How do you divide # s+s^2 -8# by #x+4#?
  
• What are the asymptotes of: #f(x)= (3e^(x))/(2-2e^(x))#?
  
• How do you graph # y = 3/2 cot( pi/2) x #?
  
• How do you write #2/11# as a decimal?
  
• What is the equation of a line that goes through #(7, -7)# and has a slope of #-3#?
  
• How do you solve the system #x + y - z = 2#, #x - y -z = 3#, #x - y - z = 4#?
  
• How do you graph #g(x) = -(3/2)^x#?
  
• How do you write 4 1/6 as an improper fraction?
  
• Sally and Marta had the same number of postcards. After Sally sold 18 of her postcards, Marta had 4 times as mow postcards as Sally. How many postcards did each girl have to begin with?
  
• Question #8dedb
  
• How do you solve #3-x=18-4x#?
  
• How do you solve #log_10 7=log_10 x-log_10 2#?
  
• Why are standardized units of measurement important?
  
• How is instantaneous velocity related to tangent lines?
  
• How do you solve the following linear system: # -x+3y=-9 , 5x-2y=-35 #?
  
• What is x if #log_2(3-x) + log_2 (2-x) = log_2 (1-x)#?
  
• How do you solve #3x+1=1/2#?
  
• How do you calculate Arccos(cos 7pi/2)?
  
• How do you find the inverse function #f(x) = 18 + ln(x)#?
  
• In a survey, 27% of the people chose salads over a meat dish. In all, 81 people chose salads. How many people were in the survey?
  
• How do you find the important points to graph #F(x)= 2x^2 - 4x +1#?
  
• How do you write #(3.00 times 10^8 m/s) / (5.68 times 10^9 m)# in scientific notation?
  
• What does it mean to solve a problem algebraically?
  
• What is the derivative of #f(x) = (1+lnx)^2/(1-lnx)#?
  
• One day a store sells 30 sweatshirts. white ones cost $9.95 and yellow ones cost $10.50. in all, $310.60 worth of sweatshirts were sold. How many of each color were sold?
  
• What is the equation of the line passing through #(34,5)# and #(4,-31)#?
  
• What are the intercepts of #2y-x=1#?
  
• What is the partial-fraction decomposition of #(5x+7)/(x^2+4x-5)#?
  
• How do you simplify #(4-6i)(2+3i)#?
  
• How do you integrate #int (z^2+1)/sqrt(z)dz#?
  
• What is the inverse function of #f(x) =10^x#?
  
• How do you find the circumference and the area of a circle with diameter 2ft?
  
• How would you write 40% as a fraction?
  
• How do you find the integral of #int dx / (x²+4)²#?
  
• How do you subtract #9/(x^2-9) - 5/ (x+3)#?
  
• How do you divide #(4x^3+2x-6) /(x-1)#?
  
• How do you graph #y= 6 sin x#?
  
• How do you change 0.244444444 into a fraction?
  
• How do you find the value of #tan^-1[tan(3pi/5)]#?
  
• How do you convert 0.7777 as a fraction?
  
• Is there an easy way to convert degrees to radians?
  
• How do you simplify #sqrt6*sqrt15#?
  
• How do you identify the important parts of #y= 2x^2+7x-21# to graph it?
  
• What is x in #log_3x = 0#?
  
• How do you solve #x+3=2x-5#?
  
• How do you factor #3x^2( 4x-12)^2 + x^3(2)(4x-12)(4)#?
  
• How do you solve #7^(x – 2) = 12x#?
  
• How do you find the x and y intercepts for #y = 2x + 18#?
  
• A car used 14.7 gallons of gas while travellng 282.8 miles. About how many miles per gallon did the car average?
  
• What is the equation of the line passing through #(3,7)# and #(-8,12)#?
  
• How do you find the axis of symmetry and vertex point of the function: #y=16x-4x^2 #?
  
• What is x if #3/(4x)-3x/4=2#?
  
• How many kilograms each of a powdered detergent and a rinsing solution containing 20% of the pure detergent must be mixed to make 140 kilograms of a 24% rinsing solution?
  
• What is the 12th term of a geometric sequence where #a_1 = 8# and #a_6 = -8,192#?
  
• Dad and son both work a certain job that they finish in 12days. After 8days the son gets sick. To finish the job dad has to work 5 more days. How many days would they have to work to finish the job, if they work separately?
  
• How do you find the derivative of #y = 6 cos(x^3 + 3)# using the chain rule?
  
• How do you find the sum of the infinite geometric series 12 + 6 + 3 + . . . ?
  
• Mrs. Goode, the English teacher, assigned a paper. She requires 4,207 words for 6 pages. If Jasper writes 29,449 words, how many pages can he expect to write?
  
• How do you solve #5x-25 > -5#?
  
• How do you determine whether a linear system has one solution, many solutions, or no solution when given 2x + 3y= -6 and 3x- 4y= 25?
  
• How do find the quotient of # (6x + 9) div (2x + 3)#?
  
• How do you make an improper fraction for 2 3/8?
  
• What is x if #log_2(3-x) + log_2 (2-x) = log_2 (1-x)#?
  
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