So here's the solution to the problem:
Calculate the average sell:
1,700 * $25 = $42,500 (revenue)
And if the Opera House wants to increase their revenue:
The price of a ticket will be:
$25 - x (where x is the number of 1-dollar decreases)
The number of tickets in total:
1,700 + 200x
Therefore the equation is:
(1,700 +200x) * ( 25 - x ) = 55,000
We can also solve this equation, but the solutions are not whole numbers.
x 1 = 5.89 and x 2 =10.6
For x = 6 (6 times 1 - dollar decreases):
( 1,700 + 200 * 6 ) * ( 25 - 6 ) = ( 1,700 + 1,200 ) * 18
=2,900 *19 = 55,100 (we will yield the revenue over $55,000)
Multiple each of those by 5000, getting 35000, 14000, and 10000
Answer:
(x + 3)2 + (y + 2)2 = 9. Which transformation of circle A shows that circle B is
similar?
Step-by-step explanation:
Answer:
![=\frac{81m^2n^5}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E2n%5E5%7D%7B8%7D)
Step-by-step explanation:
One is given the following expression:
![\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}](https://tex.z-dn.net/?f=%5Cfrac%7B%283m%5E-%5E1n%5E2%29%5E4%7D%7B%282m%5E-%5E2n%29%5E3%7D)
Simplify, distribute the exponent outside of the parenthesis by the terms inside of it. Remember, when a value that already has an exponent is raised to another exponent, the equivalent of these two values is multiplying the exponents together. Use this property here:
![=\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%283m%5E-%5E1n%5E2%29%5E4%7D%7B%282m%5E-%5E2n%29%5E3%7D)
![=\frac{3^4m^(^-^1^)^(^4^)n^(^2^)^(^4^)}{2^3m^(^-^2^)^(^3^)n^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%5E4m%5E%28%5E-%5E1%5E%29%5E%28%5E4%5E%29n%5E%28%5E2%5E%29%5E%28%5E4%5E%29%7D%7B2%5E3m%5E%28%5E-%5E2%5E%29%5E%28%5E3%5E%29n%5E3%7D)
![=\frac{81m^-^4n^8}{8m^-^6n^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E-%5E4n%5E8%7D%7B8m%5E-%5E6n%5E3%7D)
Now simplify this fraction. Keep in mind that a fraction is another way of representing the operation of division. When one wants to divide terms raised to an exponent, one must make sure that these terms have a like base. Then one will subtract the exponents from each other. Do this step with terms that have a variable base:
![=\frac{81m^-^4n^8}{8m^-^6n^3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E-%5E4n%5E8%7D%7B8m%5E-%5E6n%5E3%7D)
![=\frac{81m^(^-^4^)^-^(^-^6^)n^(^8^)^-^(^3^)}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E%28%5E-%5E4%5E%29%5E-%5E%28%5E-%5E6%5E%29n%5E%28%5E8%5E%29%5E-%5E%28%5E3%5E%29%7D%7B8%7D)
![=\frac{81m^-^4^+^6n^8^-^3}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E-%5E4%5E%2B%5E6n%5E8%5E-%5E3%7D%7B8%7D)
![=\frac{81m^2n^5}{8}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B81m%5E2n%5E5%7D%7B8%7D)
Answer:
y=2/3x - 6
Step-by-step explanation:
use the formula y=mx+b. the m of this equation is equal to the slope and you know that the slope is 2/3. the b of the equation is equal to the y-intercept so, to find b you simply look at the points given. the points are written in (x,y) form so if -14 is x, -6 must be y. remember to KEEP CHANGE CHANGE your signs so that plus sign becomes negative 6. Hope this helps!