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>
Answer:
but please give me and please mark me as
Answer:
Perimeter = 34ft Area = 72ft squared
Step-by-step explanation:
The perimeter of an object is all of it's sides combined. Because you stated two values, I assumed your shape is a rectangle. So the perimeter would be:
8 + 8 + 9 + 9 = 34
The area is length times width, so:
8 x 9 = 72
Because it is area, the units are squared.
Answer:
3 cents for 29 days and 4 cents for 1 day
Step-by-step explanation:
1.00 dollar / 30 days = .03 cents
3 cents x 30 = .99 cents
3 cents for 29 days and 4 cents for 1 day