Solution Library


Finding Intersection Of Two Straight Lines

Question Find the point of intersection of the pair of straight lines.y = 4x + 1y = –3x + 22a. (3, 13)b. (2, 14)c. (2, 13)d. (3, 14)SummaryThe question belongs to Mathematics and it is about finding the point of intersection of two straight lines.Total Word Count NA ... Read More

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Find The Intersection Of Two Straight Lines

QuestionFind the point of intersection of the pair of straight lines.3x – 4y = 94x + 12y = 25a. (5, 1/4)b. (4, 3/4)c. (4, 3)d. (5, 5/4)SummaryThe question belongs to Mathematics and it is about finding the point of intersection of two straight lines.Total Word Count NA ... Read More

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Math Short Answer Questions

Questiona. Evaluate √π2 + √6 correct to 2 decimal placesb. If f(x) = {x + 2 when > 0 and -3x +2 when ≤ 0 and calculate f(3) + f(-1) + f(-2)c. Solve |y-2| = 5SummaryThese short answer questions belong to Mathematics. The 1st question is about finding root of pi square + root of 6 ... Read More

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Sketch Graphs for Absolute Value And Algebraic Equation

QuestionSketch the following graph a. y = 2  - |x|                   b. Sketch y = 2x2 – x – 3 Hence solve for x when 2x2 – x – 3 ≤ 0       &n ... Read More

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Percentage Calculation and Solving Algebraic Equation

Questiona. The price of a CD is $33 which includes 10% GST. What is the amount of GST included in the price?                b. Kathleen paid $320 in cash for a television. If she paid in $20 notes and $10 notes and there were ... Read More

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Solve Logarithmic Equation

Questiona.   Solve log2 (3x – 4) = 5   SummaryThis short answer question belongs to Mathematics. It is about solving a logarithmic equation. The steps are shown in the solution.Total Word Count 22 ... Read More

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Solve Exponential Equation

QuestionA rare species of white tigers lives in an enchanted rainforest in the Kingdom of Shrek. A mathematical model predicts that the white tiger population P, is given by P= 150 + 300e-0.05t where t is the number of years after observation began.(i)  According  to  the  model& ... Read More

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Calculate The Time Taken To Fill A Large Tank

QuestionA tank of capacity 60KL is to be filled by a hose whose flow is 150 L/minute. If the tap is turned on at 8 am, show the tank will be full between 2.30 pm and 3 pm on the same day. (hint: 1KL = 1000L)SummaryThis short answer question belongs to Mathematics. It is about calculating the time it ... Read More

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Calculate Profit Sharing Ratio Between Business Partners

QuestionAnthony Brett and Charles run a small business and made a profit of $x in a month. They decided to share the profit so that Anthony received one-sixth of the profit, Brett received one-third of the profit and Charles received one-half of the profit respectively. Charles suddenly decided to r ... Read More

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