Answer:
![20](https://tex.z-dn.net/?f=20)
Step-by-step explanation:
La función es
![f(x)=-70x^2+2800x-45000](https://tex.z-dn.net/?f=f%28x%29%3D-70x%5E2%2B2800x-45000)
Diferenciando con respecto a
obtenemos
![f'(x)=-140x+2800](https://tex.z-dn.net/?f=f%27%28x%29%3D-140x%2B2800)
Igualar con cero
![0=-140x+2800\\\Rightarrow x=\dfrac{2800}{140}\\\Rightarrow x=20](https://tex.z-dn.net/?f=0%3D-140x%2B2800%5C%5C%5CRightarrow%20x%3D%5Cdfrac%7B2800%7D%7B140%7D%5C%5C%5CRightarrow%20x%3D20)
Doble derivada de la función
![f''(x)=-140](https://tex.z-dn.net/?f=f%27%27%28x%29%3D-140%3C0)
Entonces, la función es máxima cuando el número de unidades vendidas,
,
See Explanation
Step-by-step explanation:
1)
2).
![C = 2\pi.r\implies r = \frac{C}{2\pi} \\C = 2\pi.r\implies \pi = \frac{C}{2r} \\](https://tex.z-dn.net/?f=%20C%20%3D%202%5Cpi.r%5Cimplies%20r%20%3D%20%5Cfrac%7BC%7D%7B2%5Cpi%7D%20%5C%5C%3C%2Fp%3E%3Cp%3EC%20%3D%202%5Cpi.r%5Cimplies%20%5Cpi%20%3D%20%5Cfrac%7BC%7D%7B2r%7D%20%5C%5C)
The answer is -2. You multiply 1 X (Not 2), that would be the negation of 2. That equals -2. Everyone knows that a negative number times itself is just itself. So there is your answer.
Answer:
In descending order the function are represented as ![D>F>A>B>E>C](https://tex.z-dn.net/?f=D%3EF%3EA%3EB%3EE%3EC)
Step-by-step explanation:
Whether it is increasing or is the larger or smaller number it all depends on its slope.
Equation of line
,and
is the slope.
So we will work with the slopes of each equations and arrange them in descending order.[Greater to larger number sequence]
Slopes are ![\frac{4}{3}, \frac{5}{4}, \frac{-2}{1},\frac{7}{4}, \frac{6}{5}, \frac{8}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%2C%20%5Cfrac%7B5%7D%7B4%7D%2C%20%5Cfrac%7B-2%7D%7B1%7D%2C%5Cfrac%7B7%7D%7B4%7D%2C%20%5Cfrac%7B6%7D%7B5%7D%2C%20%5Cfrac%7B8%7D%7B5%7D)
We will equate the denominator by taking LCD of it then multiply numerator and denominator with a fix number which can bring all the denominator same.
LCD of the denominator ![(1,3,4,5)=60](https://tex.z-dn.net/?f=%281%2C3%2C4%2C5%29%3D60)
Example:
![\frac{4}{3}=\frac{4\times 20}{3\times 20}= \frac{80}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%3D%5Cfrac%7B4%5Ctimes%2020%7D%7B3%5Ctimes%2020%7D%3D%20%5Cfrac%7B80%7D%7B60%7D)
Similarly we will equate all the fractions.
So the slope are ![\frac{80}{60}, \frac{75}{60}, \frac{-120}{60},\frac{105}{60}, \frac{72}{60}, \frac{96}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B80%7D%7B60%7D%2C%20%5Cfrac%7B75%7D%7B60%7D%2C%20%5Cfrac%7B-120%7D%7B60%7D%2C%5Cfrac%7B105%7D%7B60%7D%2C%20%5Cfrac%7B72%7D%7B60%7D%2C%20%5Cfrac%7B96%7D%7B60%7D)
In descending order the numbers are:
![\frac{105}{60},\frac{96}{60}, \frac{80}{60}, \frac{75}{60},\frac{72}{60},\frac{-120}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B105%7D%7B60%7D%2C%5Cfrac%7B96%7D%7B60%7D%2C%20%5Cfrac%7B80%7D%7B60%7D%2C%20%5Cfrac%7B75%7D%7B60%7D%2C%5Cfrac%7B72%7D%7B60%7D%2C%5Cfrac%7B-120%7D%7B60%7D)
According to the option the right choice are as follows:
![D>F>A>B>E>C](https://tex.z-dn.net/?f=D%3EF%3EA%3EB%3EE%3EC)
Answer: I would say that the hotdogs cost $2 and the burgers cost $4
Step-by-step explanation: By the display of it, it that would be the normal cost of a hotdog and a hamburger