Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,
(xy)^a = (x^a)(y^a)
The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is,
(x^a)(x^b) = x^ab
Check:
f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)
f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)
f(x) = 81^0.25x = 3^x
f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x
f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)
Therefore, the answer is third equation.
<em>ANSWER: f(x) = 81^0.25x = 3^x</em>
Which one do you want answered?
17. Yes!! SAS theorem
18. Yes !! SSS theorem
19. Yes !! SSS theorem
20. I don’t think so
Answer:
The answer is J
Step-by-step explanation:
Answer:
The expression for the total cost of the visit to dentist is T = 50 + 100n .
Step-by-step explanation:
As given
The price of a visit to the dentist is $50.
If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist n cavities .
Let us assume that the total cost of the visit to dentist be T.
Than the expression becomes
T = 50 + 100n
Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .
