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Preguntas

Singapore
10. The curve y=ax2+bx, where a and b are constants, has a stationary point at (2,12). (i) Find the value of a and of b. (ii) Determine whether (2,12) is a maximum or a minimum point.
Cálculo Mar 27, 2025
6. The 'tens' digit of a two-digit number is thrice the 'units' digit. When the digits are reversed, the number is decreased by. Find the number. 54
Álgebra Mar 27, 2025
15 In standard form, P=6.5×10n and Q=2.4×10n. Giving your answer in standard form, find in terms of n (a) P+Q, (b) P×Q.
Preálgebra Mar 27, 2025
12 (a) 50=2×52 125000=503 125000=2a×5b Find a and b. Answer a= b= [1] (b) 9800=23×52×727875=32×53×7 Write as a product of its prime factors (i) the highest common factor (HCF) of 9800 and 7875, Answer [1] (ii) the lowest common multiple (LCM) of 9800 and 7875 .
Aritmética Mar 27, 2025
When a ball is dropped, the distance, d metres, it falls is directly proportional to the square of the time, t seconds, from when the ball is released. A ball falls 180 metres in the first 6 seconds. Calculate the distance the ball falls in the first 3 seconds.
Física Mar 27, 2025
Aini had $10. After spending $w on a pen, she bought 3 similar keychains with the rest of her money. What was the price of each keychain? Express your answer in terms of w .
Álgebra Mar 27, 2025
6 Solve the equation (i) 2log3⁡(x+4)−log3⁡(x+2)=2, (ii) log5⁡y−3logy⁡5=2.
Álgebra Mar 27, 2025
4 (i) Express 2x3−4x2−5x+3(x−3)(x2−9) in partial fractions.
Álgebra Mar 27, 2025
(f) 7x+26−4=0
Álgebra Mar 27, 2025
Example 18 Two fair dice are thrown and the number on the top face of each die is recorded. If the score is taken as the sum of the two recorded numbers, find the probability that the score is  (a) 12 (b) 9, (c) more than 8, (d) a prime number.  Note: A prime number is a whole number greater than 1 , whose only factors are 1 and itself
Probability Mar 27, 2025
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