Answer/Step-by-step explanation (ac > b² or b² < ac.
)
A/c to question, we have to show:-
b² >ac in A.P ........ (1)
b² = ac in G.P .....(2)
b² < ac in H.P. ..... (3)
b = a+c/2 (A.P)
b = √ac ( G.P)
b = 2ac/a+c (H.P)
In A.P :
b² > ac = b² - ac
= (a+c/2)² - ac
= (a²+2ac+c²/4) - ac = a² + 2ac + c² - 4ac / 4
= a² - 2ac + c² / 4 = ( a - c ) ² / 4 > 0 Hence, b²>ac
In G.P:-
b = √ac
Hence, b² = ac
In H.P :- b² < ac = ac > b² = ac - b² = ac - ( 2ac / a+c)
= ac(a+c) - 2ac / a+c
= a²c + ac² - 2ac / a+c
= ac(2ac - 2) / a+c > 0
Hence, ac > b² or b² < ac.
Deduction is a term used as inference to a known and validated principle. This is when you analyze points through logic from a given set of rules and conditions. You relate how the situation may conform to the rules. Thus. there is no wrong deduction. If you analyze it to be true, then that must be definitely correct. Therefore, the answer is letter B. What must be true.
Answer: The required expression would be
.
Step-by-step explanation:
Since we have given that
Let the regular price of an item be 'p' dollars.
Discount % = 20%
So, Amount of discount would be

So, the expression represents the sale price would be

Hence, the required expression would be
.
Answer:
is the required domain.
Step-by-step explanation:
We have been given two squares
Let the larger square area be x
We have been given the area of smaller square we need to find the domain of area of larger square.
Domian is the value that x can take in a function
Here, x is the area of the larger square
Since, area of smaller square is 
The area of larger circle has to be greater than 
The domain will be all real numbers grater than 10
Mathematically,
is the required domain.
To find your answer you must divide $8.88 by 6 to get the amount of what one pound of tomatoes is. Then you multiply that by 4 pounds to get the answer you want. Equation- $8.88/6= $1.48. $1.48*4=5.92. Therefore your answer is $5.92.
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