Answer:
24
Step-by-step explanation:
Prime Factorise 72:

Prime factorise 96:

Multiply the common factors of
and
:

Answer:
C)
We are given the function f(h)=50-(1/3)h
Step-by-step explanation:
Which means that the initial life of the lawn mower is 50 years with every year, the engine life of the mower is reduced by 1/3 of the time passed
Answer: 45b^4/32
Step-by-step explanation: First multiply the two fractions
15b^3y(3b)/8y x 4
Multiply 3 by 15
45b^3yb/8y x 4
Raise b to power of 1
45(b^1b^3)y/8y x 4
Use power rule to combine exponents
45b^1+3 y/8y x 4
Simplify
45b^4y/32y
Cancel common factor of y
45b^4/32
No. We claim that

and use algebra to prove the statement.
Let

. Multiply this by ten to get

. Subtract the initial equation to give

and divide by

to see that

. Substituting into the original equation gives

, proving the desired statement.