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Preguntas

Singapore
3 Simplify x2+2x−5+(−2x2)−(−4)+3
Álgebra Mar 25, 2025
5 It is given that y=3x+10x−2, where x and y are positive and vary with time. Given that the rate of increase of y is twice the rate of decrease of x, find the value of y.
Cálculo Mar 24, 2025
For each of the following, give your answer in standard form. (a) An external hard drive has a capacity of 4.0 terabytes. Given that 1 terabyte =1012 bytes, express this capacity in bytes. (b) The diameter of a human hair is 25.4 micrometres. Given that 1 micrometre =10−6 metres, express this diameter in metres. (c) A rain gauge measures rainfall over a period of time. The average annual rainfall in Singapore is 2340 mm . Express this measurement in centimetres.
Aritmética Mar 24, 2025
A rain gauge measures rainfall over a period of time. The average annual rainfall in Singapore is 2340 mm . Express this measurement in centimetres.
Aritmética Mar 24, 2025
(i) Given that 81x4−6x3−9a2x2−11x−389 is divisible by 3x+a, show that 2a3+33a−35=0. ii) Solve the equation 2a3+33a−35=0 for all real values of a.
Álgebra Mar 24, 2025
d) 1518=◻
Aritmética Mar 24, 2025
8. Break-even point, In economics, the break-even point for a company is when the total expenditure is equal to the total revenue, Given that the total expenditure and total revenue of a particular company are $(0.2x3−20x2−7200) and s420x respectively, where x is the company's break-even level of output of goods, (i) form an equation in x and show that it reduces to x3−100x2−2100x−36000=0, (ii) show that the company breaks even when x=120, (iii) determine the number of break-even points the company has.
Ciencias económicas Mar 24, 2025
The term containing the highest power of x in th polynomial f(x) is 3x4. Two of the roots of the equation f(x)=0 are -2 and 4 . Given that x2−7x+2 is a quadratic factor of f(x), find an expression for f(x) in descending powers of x.
Álgebra Mar 24, 2025
(12. Solve the equation x3+3x2−6x−8=0. Hence, by using a suitable substintion, solve the equation 27X3+27X2−18X−8=0. [Answer Key] x=2,−1,−4X=−13,−43,23
Álgebra Mar 24, 2025
Factorise the expression 2x3−3x2−11x+6 completely. Hence, solve the equation 2(y+1)3−3(y+1)2−11y=5. [Answer Key] (x+2)(2x−1)(x−3)y=−3,−12,2
Álgebra Mar 24, 2025
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