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:

Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate
we know that
5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2
I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2
the answer is
the price of each cup is $1.2
the price of each plate is $7.5
One of the numbers are negative
Remember this... a negative divided by a positive will result in a negative and a negative divided by a negative will result in a positive, the same goes for multiplication
Answer
the answer is C
Step-by-step explanation:
nothing
First one= x=5
second one= x=1/30 or 0.03 or 30^-1
third one= All real numbers or R
fourth one= No solution
Fifth one= All real numbers or R
Sixth one= p=-10/3 or -3 1/3 or -3.3
R is just the symbol for all real numbers. Also know as infinitely many solutions.
Hope this helps ! :) have a good day! Make sure you eat.