Question 2 : The 9th term of an arithmetic sequence is 12 and the 17th term is 28, find the 4th term of the arithmetic sequence.

19.77

25.4

28.2

16.5

Question 3 : A survey conducted for 50 members of staff of Cadbury plc shows that 30 of them have degree while 35 possess H.N.D. if 8 of the employees possess neither of the certificate how many have both degree and H.N.D

23

16

24

18

Question 4 : Solve the simultaneous inequalities 6x - 2y ≥ 14 and 14x + 3y≤ 24 and determine the values of x and y.

x ≥ 1.96, y ≤ 1.12

x = 27, y= 16

x > 0, y < 1

x ≤ -1.96, y ≤ 1.12

Question 5 : Using factorization method solve for x, 5x²+ 12x +7 = 0

1∕2 or 5∕6

−2∕3 or 7∕9

−1 or −1⅖

4 or 5

Question 6 : If A= {3,5,7,9} B = {2,3,4,8,7,9} then AuB is

{1,2,3,5,7}

{2,3,4,5,7,8,9}

{1,2,3,5,6,8}

{2,3,3,4,,7,9}

Question 7 : The sum of eight times a number and 15 is less than thrice the same number minus 10, find the number.

x ≤ 5

x > 5

x < -5

x ≥ 5

Question 8 : Determine the value of x and y simultaneously given that x + y = 10 and xy = 21

x,y=[(11,7)(7,11)]

x,y=[(8,4)(4,8)]

x,y=[(3,7)(7,3)

x,y=[(7,4)(4,3)]

Question 9 : Given that A{prime number less than 20}, B {even numbers less than 15}, C {Multiples of 4 less than 15} then AuBnC is

{4,8,12}

{14,17,19}

{2,3,5,14}

{5,6,7,9}

Question 10 : The Cartesian graph below represent -4

y > -4

y ≤ 4

y ≥ -4

y = 4

Question 11 : The equilibrium conditions of two market ketu and mile12, where pₐ and pₑ what are the prices of beans and meat, given that 8pₐ - 3pₑ=7 and -pₐ+7pₑ=19,

7pₐ and 8pₑ

2pₐ and 3pₑ

2pₐ and 4pₑ

5pₐ and 10pₑ

Question 12 : Find the gradient of the line described by the given point. P(5,3) and Q(7,10)

7∕2

7∕8

⅚

2∕7

Question 13 : Find the sum of 28th term of the AP 3+10+17+-----

2450

2500

2830

2730

Question 14 : A proper subset is a set that has

All the element are not the same

All the element are the same

none

All the elements of a set in another set

Question 15 : Given Ƹ = {1,2,3,4,5,.6,7,8}, A= {1,2,4,8}, B= {1,3,5,7}, C = {2,4,6,8}, find AnB¹uC¹.

{3,5,7,}

{1,2,3,5,6,7,8}

{1,2,3,5,7,8}

{1,3,5,7,}

Question 16 : Find the value of K in the perfect square 12x² - 6x + K

12

6

2

4

Question 17 : Given equation 4x² - 7x + 9 = 0, find the value of x.

−2.1 or 0.34

2 or 3

3½ or −5½

2.1 or 3.2

Question 18 : The sum of twice a number and 5 is less than the sum of one-third of the number and 6, find the number.

x> - 3/5

x > 3/5

x < 3/5

x < -3/5

Question 19 : Find the quadratic equation whose root is −1/2 and −3/2.

3x² - 4x + 3

4x² - 4x - 3

8x² - 8x - 3

4x + 3 - 3

Question 20 : Given that the quantity demand of orange Qd = 40 - 5p, what quantity of orange is demanded if price is N5

8units

11units

7 units

15units

iddaniella
Jun 5, 2017

#1**0 **

Best Answer

What is this Daniella, is this ALL your homework!

We re not here to do all your homework for you. You will not learn anything that way!

Melody
Jun 5, 2017

#2**+2 **

Question 2 : The 9th term of an arithmetic sequence is 12 and the 17th term is 28, find the 4th term of the arithmetic sequence.

19.77

25.4

28.2

16.5

We can solve this system where a1 is the first term and d is the common differeence

12 = a1 + 8d

28 = a1 + 16d subtract the first equation from the second

16 = 8d divide both sides by 8

2 = d

And using either equation, we can find the first term as

12 = a1 + 8(2)

12 = a1 + 16

12 - 16 = a1

-4 = a1

So the 4th term is

-4 + 2(3) = 2

CPhill
Jun 5, 2017

#3**+2 **

Question 3 : A survey conducted for 50 members of staff of Cadbury plc shows that 30 of them have degree while 35 possess H.N.D. if 8 of the employees possess neither of the certificate how many have both degree and H.N.D

It's obvious that 50 - 8 = 44 have certificates

So we have the following equation

N( Degree U HND) = N(Degree) + N(HND) - N(Degree ∩ HND)

42 = 30 + 35 - N(Degree ∩ HND)

42 = 65 - N(Degree ∩ HND)

N(Degree ∩ HND) = 65 - 42 = 23

CPhill
Jun 5, 2017

#4**+2 **

Question 5 : Using factorization method solve for x, 5x²+ 12x +7 = 0

(5x + 7) ( x + 1) = 0

Setting both factors to 0 and solving for x we have that

x = -7/5 = - 1 2/5 or x = -1

CPhill
Jun 5, 2017

#5**+2 **

Question 6 : If A= {3,5,7,9} B = {2,3,4,8,7,9} then AuB is

A U B = { 2,3,4,5,7,8, 9 }

CPhill
Jun 5, 2017

#6**+2 **

Question 7 : The sum of eight times a number and 15 is less than thrice the same number minus 10, find the number.

8x + 15 < 3x - 10 add 10 to both sides, subtract 8x from both sides

25 < -5x divide both sides by -5 and reverse the inequality sign

-5 > x → x < -5

CPhill
Jun 5, 2017

#7**+2 **

Question 8 : Determine the value of x and y simultaneously given that x + y = 10 and xy = 21

x + y = 10 subtract x from both sides

y = 10 - x

Sub this into the other equation

x ( 10 - x) = 21

10x - x^2 = 21 rearrange as

x^2 - 10x + 21 = 0 factor

(x - 7) ( x - 3) = 0

Setting each factor to 0 and solving for x we have that

x = 7 and x = 3

CPhill
Jun 5, 2017

#8**+2 **

Question 9 : Given that A{prime number less than 20}, B {even numbers less than 15}, C {Multiples of 4 less than 15} then AuBnC is

A = { 2, 3, 5, 7, 11, 13, 17 , 19 }

B = { 2, 4, 6 , 8 , 10, 12, 14 }

C = { 4, 8, 12 }

So A U B ∩ C

{ 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13 14, 17, 19} ∩ { 4, 8, 12} =

{ 4, 8, 12 }

CPhill
Jun 5, 2017

#9**+2 **

Question 13 : Find the sum of 28th term of the AP 3+10+17+-----

The 28th term is given by

3 + 7(27) = 192

So.....the sum of the first 28 terms is

(first term + last term)(number of terms) / 2 =

(3 + 192) (28) / 2 =

(195) * (14) =

2730

CPhill
Jun 5, 2017

#10**+2 **

Question 15 : Given Ƹ = {1,2,3,4,5,.6,7,8}, A= {1,2,4,8}, B= {1,3,5,7}, C = {2,4,6,8}, find A n B¹ u C¹.

B ' = { 2, 4, 6, 8 }

C' = { 1, 3, 5, 7 }

So

A ∩ B' U C' =

{ 2, 4, 8 } U { 1, 3, 5, 7 } =

{1, 2, 3, 4, 5, 7, 8 }

CPhill
Jun 5, 2017

#11**+2 **

Question 16 : Find the value of K in the perfect square 12x² - 6x + K

Write 12x^2 - 6x

Factor out the 12

12 ( x^2 - (1/2)x )

Take (1/2) of (1/2) = 1/4.....square this = 1/16

So we have

12 (x ^2 - (1/2)x + 1/16)

12x^2 - 6x + 12/16

12x^2 - 6x + 3/4

So.... K = 3/4

CPhill
Jun 5, 2017