A. Profit (P):
P = 100 x
Revenue (R) is Profit – Cost:
R = P – C
R = 100 x – [2750 + 8x + 0.1x^2]
R = 100x – 2750 – 8x – 0.1x^2
R = -0.1x^2 + 92x – 2750
B.
To make a profit, R must be zero, R = 0:
0 = -0.1x^2 + 92x – 2750
x^2 – 920x = - 27,500
Completing the square:
<span>x^2 – 920x + 211,600 = - 27,500 + 211,600</span>
(x – 460)^2 = 184,100
x – 460 = ± 429.07
x = 30.93, - 889.07
Therefore sell at least 31.
31<x<500
<span> </span>
Answer:
A) 18+81=9(x^2+6x+9)
D)11+(x+3)^2
Step-by-step explanation:
To solve this by completing the square, we want to get it to the form of: (x + 3)^2 = 9
There are multiple ways to get there.
First we could divide by 9 to get.
x^2 + 6x = 0
Then, add 9 to both sides to get:
x^2 + 6x + 9 = 9
Factor the left side:
(x + 3)^2 = 9
Now, you can solve this equation by completing the square.
(*I think you have a typo in your answer choices)
Read more on Brainly.com - brainly.com/question/9252180#readmore
Answer:
The correct option is 1.
Step-by-step explanation:
The total number of patient is 80 and out of these patients 9 patients had their teeth whitened.
The confidence interval is 95%.
The probability of patient had teeth whitened is
![p=\frac{9}{80}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B9%7D%7B80%7D)
The z-score for 95% confidence interval is 1.96.
The confidence limit is defined as
![E=p\pm \sqrt{\frac{p(1-p)}{n}}\times z*](https://tex.z-dn.net/?f=E%3Dp%5Cpm%20%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%5Ctimes%20z%2A)
![E=0.1125\pm \sqrt{\frac{0.1125(1-0.1125)}{80}}\times 1.96](https://tex.z-dn.net/?f=E%3D0.1125%5Cpm%20%5Csqrt%7B%5Cfrac%7B0.1125%281-0.1125%29%7D%7B80%7D%7D%5Ctimes%201.96)
![E=0.043,0.182](https://tex.z-dn.net/?f=E%3D0.043%2C0.182)
These values are in percent.
![[0.043\times 100,0.182\times 100]](https://tex.z-dn.net/?f=%5B0.043%5Ctimes%20100%2C0.182%5Ctimes%20100%5D)
![[4.3,18.2]](https://tex.z-dn.net/?f=%5B4.3%2C18.2%5D)
Therefore option 1 is correct.
Answer:
8.1192
you need to multiply the decimal to the grand number:
0.08 x 101.49 = 8.1192
<span> 1/4+x=0
Subtract 1/4 from both sides
Final Answer: x= -1/4</span>