Everything Maths Grade 10

b) 11

c) 2

d) 3

e) 8

f) 1

g) 10

h) 3

7. a)R 108,88
   b)R 199,36

c) 22,043 L

d)22,071 L

e)1,15V

8. a) 7 m
   b)0 ms(t)10 m
   c) The domain is 0 st20 s. It represents the total time
   taken to reach the bottom of the slope.


9. a) 5 m
   b)10 m
   c) 5 m

Exercise 6 – 2:

1. a)x-intercept= 1andy-intercept= 1
   b)x-intercept= 2 andy-intercept= 2
   c)x-intercept= 3andy-intercept= 3
   2.m= 3andc= 1.
   3.m= 1andc= 1.


2. a)(0; 1)and(1; 0). The graph is increasing
   b)(0;1)and(1; 0). The graph is increasing
   c)(0;1)and
   ( 1
   2 ; 0

)

. The graph is increasing
d)(0; 1)and
( 1
3 ; 0

)

. The graph is decreasing
e)(0; 2)and(3; 0). The graph is increasing
f)(0; 3). The graph is horizontal.
g)(0; 0). The graph is increasing
h)(0;3)and(2; 0). The graph is increasing
5. a)False
b)True
c)True

d)False

e)False

6. a) y=^32 x+^12
   b)y= 3 x+ 5
   c) y=^13 x+^43
   d)y= 2 x+ 4


7. a) E
   b)A
   c) B
   d)F
   e)D
   f)C


8. a) a(x) =^34 x+ 3
   b)b(x) =^32 x 6
   c) c(x) = 3
   d)d(x) =^34 x

Exercise 6 – 3:

1.a=^13 ;q= 4

2.a= 2;q= 3

3. a) 2
   b)(0,63; 0)and(0,63; 0)


4. a) 1
   b)(0,71; 0)and(0,71; 0)
   5. a)h(x)
   b)g(x)
   c)f(x)
   d)k(x)


5. a)h(x)
   b)f(x)

c)g(x)

7. a)a= 1;p= 9
   b)b= 1 ;q= 23
   c)x 4 orx 4
   d)x 0

Exercise 6 – 4:

1.a= 1 andq= 2

2.a= 2 andq= 3

3. a)There is noy-intercept.
   b)^32


4. a)There is noy-intercept.

b) 1

5. a)h(x)
   b)g(x)
   c)k(x)
   d)f(x)
   6. b)the point does lie on the graph
   c) 24
   e)y= 0andx= 0
   f)(3; 2)

Exercise 6 – 5:

1. a)(0;0,33)
   b)(0,4; 0)
   2.a= 1 andq= 4
   3.a= 1 andq= 5


2. a)(0;0,75)
   b)(1; 0)


3. a)g(x)

b)k(x)

c)f(x)

d)h(x)

6. b)asymptote
   c)y=
   ( 1
   2

)x

d)(0; 1)

7. a)f(x) = 3x

b)h(x) = 3 x

c)(1; 0)

d)g(x) = 3x

e)j(x) = 2: 3 x

f)k(x) = 3x 3

Exercise 6 – 6:

1.a=^32 andq=^32

2.a= 4andq= 2

3.a=^12 ;andq= 1

4.a=^12 ;andq= 0

5.a= 3andq=^13

6.a= 1andq= 0

7. a)h(x)
   b)k(x)
   c)f(x)
   d)g(x)

8.g(x) = 4sin

9. a)E(180◦;2)and 2 y 0
   b)E(360◦; 2)and 0 y 4
   c)E(90◦;0,5)and2,5y
   0,5
   d)E(180◦;0,5)and 0,5  y 

506 Solutions