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f(x)=x^2-2x-3 for x>=0, -a<=x<=a. if the range of the function f is -4<=f(x)<=5, find the value of a.


a radio and cycle together cost ₹1200. if the price of the former rises by 20% and then latter by 25%,then two together would cost ₹1460.find the former prices


the population of 2 town were equal in a particular year.population of 1 town is increase by 8% but other decrease by 6%.then population of two town together was 48765.what was the population of each town in the particular year when the population of town was equal?


F (×) = x⁴ - x³ -2ײ

f(x)= x^4 +8x^3+16x^2

g(x) = -4x^2 -16x +5

using algebraic method, find the points of intersection of the graphs f(x) and g(x).

which of the solutions are reflected on the graphs


1) A man sells his car for $749 at a loss of 25/2% of what he paid for it. Find his actual loss

2) An article which costs $3.20 in 1940 now costs $9.12. Find the percentage increase in cost.

3) If a dealer charges $2.75 for a chair, he gains 75/2%, at what price must he sell it to gain 45%?


Two written questions that can be given to learners for classwork to test their understanding of the subtraction of fractions.

What are the two assessment methods, other than a written test,which you would use to assess learners' understanding of the subtraction of fractions and a reason for each choice of method.

Wayne charges the following for repairing washing machines:

£28 call-out charge + £16 for each half-hour he spends on the repair

What will the total cost be for a repair which takes one and a half hours?


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