Answer:
(a,a)
Step-by-step explanation:
The answer is (a,a).You can check the formula,the formula is (x,y)
Answer:
21.88
39.06
Step-by-step explanation:
For starters, we say
let the length of side of the square be x
We only that the area of a circle is πr² and we have a circumference of a circle, c = 2πr, so then, we say that
r = c/2π and c = (25 - 4x)
a = x² + π * [(25 - 4x)/2π]², opening the bracket, we have
a = x² + (25 - 4x)²/4π
This function then has a minimum at
x = 25/(4 + π)
x = 25 / 7.142
x = 3.5
substituting for x = 3.5, we have
a = 3.5² + (25 - 4*3.5)²/(4*3.142)
a = 12.25 + (25 - 14)²/12.568
a = 12.25 + 11²/12.568
a = 12.25 + 121/12.568
a = 12.25 + 9.628
a = 21.88
The area is 21.88
At x = 0 the area is just the circle
a = π * (25/2π)²
a = 625/4π
a = 625/12.568
a = 49.73
At x = 25/4 the area is just the square
a = 625/16 = 39.06
The answer is 12. 3/4 and 1/16 have a common denominator of 16. multiply 3/4 by 4 and get 12/16. divide that by 1/16 and get 12/1 making the answer 12.
Basically looking for the x value of intersection of the two equations. Setting them equal,
2^x + 12 = 15x + 35, which you will get x = 7. Graph it out to get a visual solution.
The number of birds after 7 years would be 140, for both species.
Using a system of equations, it is found that a small box of tangerines costs $10 and a large box costs $14.
<h3>What is a system of equations?</h3>
- A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the <em>variables </em>are:
- Variable x: Cost of a small box.
- Variable y: Cost of a large box.
Krystal sold 7 small boxes of tangerines and 14 large boxes of tangerines for a total of $266, hence:
![7x + 14y = 266](https://tex.z-dn.net/?f=7x%20%2B%2014y%20%3D%20266)
Simplifying by 7:
![x + 2y = 38](https://tex.z-dn.net/?f=x%20%2B%202y%20%3D%2038)
![x = 38 - 2y](https://tex.z-dn.net/?f=x%20%3D%2038%20-%202y)
Mary sold 14 small boxes of tangerines and 3 large boxes of tangerines for a total of $182, hence:
![14x + 3y = 182](https://tex.z-dn.net/?f=14x%20%2B%203y%20%3D%20182)
Since
:
![14(38 - 2y) + 3y = 182](https://tex.z-dn.net/?f=14%2838%20-%202y%29%20%2B%203y%20%3D%20182)
![25y = 350](https://tex.z-dn.net/?f=25y%20%3D%20350)
![y = \frac{350}{25}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B350%7D%7B25%7D)
![y = 14](https://tex.z-dn.net/?f=y%20%3D%2014)
Then
![x = 38 - 2y = 38 - 2(14) = 10](https://tex.z-dn.net/?f=x%20%3D%2038%20-%202y%20%3D%2038%20-%202%2814%29%20%3D%2010)
A small box of tangerines costs $10 and a large box costs $14.
To learn more about system of equations, you can take a look at brainly.com/question/24342899