+0  
 
-1
143
13
avatar+46 

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

Best Answer 

 #1
avatar+89843 
0

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
Sort: 

13+0 Answers

 #1
avatar+89843 
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
avatar+75376 
+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

 

 

cool cool cool

CPhill  Jun 5, 2017
 #3
avatar+75376 
+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

 

 

cool cool cool

CPhill  Jun 5, 2017
 #4
avatar+75376 
+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

 

 

cool cool cool

CPhill  Jun 5, 2017
 #5
avatar+75376 
+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 }

 

 

cool cool cool

CPhill  Jun 5, 2017
 #6
avatar+75376 
+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

 

 

cool cool cool

CPhill  Jun 5, 2017
 #7
avatar+75376 
+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

 

 

cool cool cool

CPhill  Jun 5, 2017
 #8
avatar+75376 
+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 }

 

 

cool cool cool

CPhill  Jun 5, 2017
 #9
avatar+75376 
+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

 

 

cool cool cool

CPhill  Jun 5, 2017
 #10
avatar+75376 
+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 }

 

 

 

cool cool cool

CPhill  Jun 5, 2017
 #11
avatar+75376 
+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

 

 

cool cool cool

CPhill  Jun 5, 2017
 #12
avatar+75376 
+2

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

 

Because the disriminant < 0,  this has no real roots

 

 

cool cool cool

CPhill  Jun 5, 2017
 #13
avatar+16 
0

14.

 All the element are not the same

Pinky  Jun 7, 2017

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