the coordinates of point f is B)7,-5
Answer:
a = 70°
b = 80°
Step-by-step explanation:
Angles on a straight line add up to 180°
⇒ a + 110 = 180
⇒ a = 180 - 110
⇒ a = 70°
The sum of the interior angles of a quadrilateral is 360°
⇒ a + b + 130 + 80 = 360
⇒ 70 + b + 130 + 80 = 360
⇒ b + 280 = 360
⇒ b = 360 - 280
⇒ b = 80°
By looking at the graph we can see that f(x) increase by 1 (on the vertical axis . or y-axis ) from 2 to 3, over the interval 0 to 1 ( horizontal axis, or x-axis)
It increases by 2 over the interval 1 to 2.
by 4 over the interval 2 to 3.
And by 8 over the interval 3 to 4.
Therefore this exponential function grows by a factor of 2 (since it doubles every by every interval of 1)
Answer:
Cost of an adult ticket is £10.75
Step-by-step explanation:
Given:-
Cost of 1 adult ticket is £6 more that the cost of a child ticket.
Total cost of 6 tickets = £40.50
c is cost of a child ticket and a is the cost of an adult ticket.
To find:- Cost of 1 adult ticket =?
Solution:-
For 2 adults and 4 children, and the total cost of tickets is £40.5, we get the following equation,
-----------------(1)
As the Cost of 1 adult ticket is £6 more than the cost of a child ticket, we can the following equation,
-----------------(2)
Now, substituting the value of a from equation 2 in equation 1 we get,






--------------------(3)
Now substituting the value of c from equation 3 in equation 2,



As a is the cost of 1 adult ticket,
Therefore Cost of an adult ticket is £10.75