0.27, I know 3 times nine does equal 27. So I divide 100 by 27.
Answer:
(x + 6)(x - 2)
Step-by-step explanation:
The given quadratic equation is
.
A quadratic equation can be factored in the form
where
and
will form the roots of the equation
Here the roots are
and
.
The factored form would simply be:
.
Thus the answer.
The inverse demand function of the given demand function is <u>p = 50 - q/2</u>.
A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.
The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.
Given demand function: q = 100 - 2p.
To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:
q = 100 - 2p,
or, 2p = 100 - q,
or, p = 100/2 - q/2,
or, p = 50 - q/2.
Thus, the inverse demand function of the given demand function is <u>p = 50 - q/2</u>.
Learn more about inverse functions at
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Consider the system of inequalities
![\left\{ \begin{array}{l} y\ge 2 \\ x\le 6 \\ y\le 3x+2 \\ y\le -x+10. \end{array}\right.](https://tex.z-dn.net/?f=%20%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bl%7D%20%20y%5Cge%202%20%5C%5C%20%20x%5Cle%206%20%5C%5C%20%20y%5Cle%203x%2B2%20%5C%5C%20%20y%5Cle%20-x%2B10.%20%5Cend%7Barray%7D%5Cright.%20)
1. Plot all lines that are determined by equalities (see attached diagram)
![\left\{ \begin{array}{l} y=2 \text{ (red line)} \\ x= 6 \text{ (blue line)}\\ y=3x+2 \text{ (green line)} \\ y= -x+10 \text{ (orange line)}. \end{array}\right.](https://tex.z-dn.net/?f=%20%5Cleft%5C%7B%20%5Cbegin%7Barray%7D%7Bl%7D%20%20y%3D2%20%5Ctext%7B%20%28red%20line%29%7D%20%5C%5C%20%20x%3D%206%20%20%5Ctext%7B%20%28blue%20line%29%7D%5C%5C%20%20y%3D3x%2B2%20%5Ctext%7B%20%28green%20line%29%7D%20%5C%5C%20%20y%3D%20-x%2B10%20%20%5Ctext%7B%20%28orange%20line%29%7D.%20%5Cend%7Barray%7D%5Cright.%20)
2. Determine which bounded part of the plane you should select:
means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);- for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line. - for
you can check where the origin is placed. Since
, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
3. According to the previous explanations, the shaded region is as in A diagram.
Answer: correct choice is A.
it will be twelve and thirty eight hundredths