Straight Lines‚ Pair of Lines & Circles A straight line through the point A 3‚ 4 is such that its intercept between the axes is bisected at A . It’s equation is 1. (a) 4 x 3 y 24 Ans: a (b) 3x 4 y 25 (c) x y 7 (d) 3x 4 y 7 0 Sol: By formula required equation is given by x y 2 4 x 3 y 24 3 4 2. The equation of the line which is the perpendicular bisector of the line joining the points 3‚ 5 and 9‚3 is (a) 4 x 3 y 14 0 Ans: d Sol: A 3‚
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Number of meals consumed per day (X) child weight (Y) X² Y² XY Ahmad 11 8 121 64 88 Ali 16 11 256 121 176 Osama 12 9 144 81 108 Husien 19 13 361 169 247 Total 58 41 882 435 619 a. Determine the simple linear regression equation. b. Determine the correlation coefficient. Interpret it in words. c. What is the expected child weight if the number of meals increased by 2 meals per day? Q2. A hospital supervisor wishes to find the relationship between the number
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“or” it needs to satisfy one or both of the inequalities. Question 68 tells the number of refrigerators and TVs that will fit inside of an 18 wheeler truck. We are asked to write an inequality to describe the region of the graph that is shaded based upon the numbers provided. We are then asked to solve a multiple problems to determine how many refrigerators and TVs the 18 wheeler will fit at one time. First write the inequality to describe the shaded region of the graph. In the question the line
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no longer a parabola. Now we will look at how the (b) factor changes the parabola‚ below is the origional graph from the top of the paper except the red line represents the same parabola with a (b) added onto it. The original equation was Y=x^2(blue line) and the new equation is Y=x^2+x(red line). The change is moving the vertex of the parabola left ½ and down ¼ but the shape of the parabola it’s self is unchanged. Here are some other examples of changing (b) in a parabola with a steady (a) As seen
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In the science Isa the materials we can take in is the Crn notes‚ our table we drew as well as the graph we drew. Question 1) Do your results agree with your hypothesis? Yes our results do agree with the hypothesis because as soon as the weights were lifted the muscles began to fatigue very rapidly‚ an example of when this occurred is once the 1kg weight was lifted it took … amount of seconds to fatigue however as soon as the 5kg weight was lifted we saw the muscles fatigued extremely quickly
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monthly payments 2 d) Simultaneous equations: ( solving by elimination) Deposit = $350 Total monthly payments = 10 months x 120 By multiplying the second equation by 3‚ we get: = $1‚200 Total hire purchase price = 350 + 1200 = $1‚550 2x +3y = 9 9x – 3y = 24 By adding both equation we get: 11x = 33 so (x = 3) Q1.c (ii) Amount saved if laptop is purchased for cash of $1‚299 = 1‚550 – 1‚299 By substituting (x=3) into the first equation we get: = $251 2(3)+3y = 9
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is 80. _____________________________________________________________________________ This paper consists of 6 printed pages including the cover page. [Turn over] Mathematical Formulae 1. ALGEBRA Quadratic Equation For the equation [pic]‚ [pic] Binomial expansion [pic]‚ where n is a positive
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Quadratic Equation A quadratic equation can be solved by using: 1. Factorization i) Arrange the unknowns in general form (ax2+bx+c=0) and factorize it 2. Completing the square i) x2-6x+4=0 ii) x2-6x=-4 iii) x2-6x+-622=-4+-622 iv) x2-6x+-32=-4+-32 v) x-32=5 vi) x-3=±5 vii) x=3±5 viii) x=3+5 OR 3-5 ix) x=5.236/0.7369 3. Quadratic formula x=-b±b2-4ac2a * Forming quadratic equation from
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following math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): Solid line Dashed line Parallel Linear inequality Test
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Learning Curve Primer The concept of a Learning Curve is motivated by the observation (in many diverse production environments) that‚ each time the cumulative production doubles‚ the hours required to produce the most recent unit decreases by approximately the same percentage. For example‚ for an 80% learning curve: If cumulative production doubles from 50 to 100‚ then the hours required to produce the 100th unit is 80% of that for the 50th unit. The learning curve formula can be expressed
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