Answer:
The answer is y=1/3x-1
Step-by-step explanation:
m=1/3
y-y=m(x-x1)
y-(-1)=1/3(x-0)
y+1=1/3x-0
-1 -1
y=1/3x-1
Given:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

To find:
The maximum amount of profit the company can make, to the nearest dollar.
Solution:
If a quadratic equation is
, then the vertex is

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.
We have,

Here,
. Clearly, a<0. So, the vertex is the point of maxima.



Putting x=23.931 in the given equation, we get



The vertex is at (23.931,6568.138).
Therefore, the maximum profit is $6568.138 when x=23.931.
Complete question :
Mr. Nelson lost one of his students' test papers. He knows that the other 4 students scored as follows: 60, 62, 56, 57. He also knows that the average score is 59.2. What is the score on the missing paper?
Answer:
61
Step-by-step explanation:
Given the following :
Total number of students = 4 + 1 missing = 5
Score on the four avaliable papers = 60, 62, 56, 57
Average score of the 5 papers = 59.2
Score on missing paper :
Sum of each score / number of papers
Sum of each score = sum of available scores + missing score
Let missing score = m
(60 + 62 + 56 + 57 + m) = 235 + m
Recall:
Average = total sum / number of observations
Hence,
59.2 = (235 + m) / 5
59.2 × 5 = 235 + m
296 = 235 + m
m = 296 - 235
m = 61
Missing score = 61
Answer:
1. A
2. B
3. A
4. B
5. A
Step-by-step explanation:
Edge 2022
Answer:
1024 or A
Step-by-step explanation:
64 x4 is 256 x4 it's a 1024