Cars tested for roadworthiness. The main tyres, steering or bodywork. In total, 34
4 A garage keeps records of the last 94
reasons for failing the test are faulty
failed for tyres, 40 failed for steering and
29 failed for bodywork. 11 cars failed for
other reasons. 7 cars failed for both tyres
and steering, 6 for steering and bodywork
and 11 for bodywork and tyres. The
owner of the garage wishes to calculate
the number of cars that failed for all three
reasons.
a Draw a Venn diagram to represent
the information, using x to represent
the number of cars failing for all three
reasons.
b Hence calculate the value of x.
c Hence find the probability that a car
selected at random from this data set
failed for at least two reasons.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )