内容发布更新时间 : 2024/6/26 13:44:56星期一 下面是文章的全部内容请认真阅读。

Medium

1.Find the 11th term of the geometric sequence that commences 1, 3, 3, ... Answer : 243

2.Determine the gradient function :

2Answer: ?x3?6x?2x?3

3?4212?3x? 23xx3. Find the centre and radius of the circle with equation: x2?y2?6y?10x. Answer: centre (5, -3), radius : 34

4. Write down the domain and range of the function y?6?x2?5x?6. Answer: domain: x?3,or x?2. Range:y?6.

5.Fourteen girls and seven boys are applying for five student council positions. Determine how many ways the council positions can be filled if at least four girls are selected.

Answer: 14C47C1?14C=9009

56.What number could be added to each of the three numbers 3, 11 and 27 so that the resulting numbers form a geometric sequence? Answer: 5

7.$4000 is invested into an account paying interest at 8%, compounded annually and $200 is withdraw from the account after each 12 months .

determine (nearest cent) the amount in the account at the end of ten years, after the $200 for the year has been withdrawn. Answer: $8635.69 8.Find the equation of the quadratic function that has exactly the same shape as that of y?3x2?2x?1, has the same line of symmetry as

y?x2?4x?7 and that cuts the y-axis at the point ?0,15?

Sol: y?3(x?2)2?3

9.State the range of the function domain:?x?R:?3?x??2?. Sol: y?R:y??1

10.For the sequence -1,0,7,26,63,… determine the sixth term Answer:124

11.Determine the equation of the function for the table below

x y Answer: y?1 -60 ?60 xy?1x?2for the given

2 -30 3 -20 4 -15 5 -12 12.A card is randomly drawn from a normal pack. What is the probability that the card is a red or a two? Answer:

7 1313.In triangle ABC A?60?, a=3.5, b=4 Find the size of B to the nearest degree. Answer:82?,98? 14.Determine

whether

the

two

circles

with

equations

?x?2?2??y?3?2?9and ?x?2?2??y?5?2?1have two points in common,

just one point in common or no point in common. Answer: no point in common