Answer:

Step-by-step explanation:
Given

Required
Determine the inverse function b(a)
Write A(b) as a

Swap a and b


Divide both sides by 7

Maka a the subject

Swap a and b again

Hence:

To make it easy we can multiply 5 and 0.8 times 10 before we start dividing. The result will no change because we multiplying both numbers by the same number.
5*10=50
0.8*10=8
No we can divide 50:8
6,25 - its the result
50:8
48
20
16
40
40
0
Hope that helps.
Answer:
438,012 ways.
Step-by-step explanation:
We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.
Since the letters and digits can be repeated, so we will use fundamental principal of counting.
For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.
We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.
So we can choose coupon code is following ways:

Therefore, we can choose coupon codes in 438,012 ways.
Change of y / over change of x
Go over 4, up 45
B is your correct answer
Hope this helps!
Answer:
Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>
Step-by-step explanation:
Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.
Given:
4 coffees and 12 lattes cost $61.
12 coffees and 7 lattes cost $59.75.
∵ 1 coffee cost = 
∴ 4 coffees cost =
and 12 coffee cost = 
∵ 1 latte cost = 
∴ 12 lattes cost =
and 7 lattes cost = 
Now, as per question:

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.