Answer:
Approximately 3.5 feet - Option B
Step-by-step explanation:
Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.
( 30 + 2x ) 
( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) ( 20 + 2x )"
600 + 100x + 4
= 1000 - Subtract 1000 on either side, making on side = 0
4 + 100x - 400 = 0 - Take the "quadratic equation formula"
( Quadratic Equation is as follows ) - 
,
,
There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) 
. The approximated value however is 3.5081...or approximately 3.5 feet.
48/100 (simplified: 6/25) - Fraction form
.48 - decimal form
48% - percent form
Answer:
U=3
Step-by-step explanation:
Since 9*3=27, and 27-7=20, U=3.
Y=-X+4 finding the y intercept, b and slope, mx thus y=mx+b
Answer:
1. 
2. 
Step-by-step explanation:
The given demand equation is
where p is the price (in dollars) per quarter-chicken serving and q is the number of quarter-chicken servings that can be sold per hour at this price.
Part 1 :
We need to Express q as a function of p.
The given equation can be rewritten as
Using the properties of exponent, we get
![[\because x^n=a\Rightarrow x=a^{\frac{1}{n}}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20x%5En%3Da%5CRightarrow%20x%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%5D)
Therefore, the required equation is .
Part 2 :
Differentiate q with respect to p.
Formula for price elasticity of demand is
Cancel out common factors.
Using the properties of exponents we get
Therefore, the price elasticity of demand is -2/3.
