Answer:
Length=15 cm
Width=13 cm
Step-by-step explanation:
-Let x be the width dimension, the length will be (x-2)
-The area of a rectangle is given by the formula;
#We substitute the length and width values and equate to the given area:
#Rewrite as a quadratic and solve for x:
Since dimensions are always positve, the x value is 15
x=15
x=13
Hence, the dimensions of the rectangle are length=15 cm and width=13 cm
you need to add for number one you need to subtract for number two you need to add for number 3 you need to subtract for number 4
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>
Cost per mile P- total cost (C) divided by total miles (M).
P= C/M
