Answer:
Yes
Step-by-step explanation:
Given that In my data set of 10 exam scores, the mean turned out to be the score of the person with the third highest grade.
No two people got the same score.
Let the scores be a,b,c,d,e in ascending order where no two scores are equal
If a+b=d+e =2c then we can have c as the mean of the scores of 5 persons
This is because
Total sum = a+b+c+d+e = (a+b)+c+(d+e)
= 2c+c+2c=5c
Average= 5c/5 = c
It makes sense and there are chances as long as the above condition is satisfied.
First, we are going to find the vertex of our quadratic. Remember that to find the vertex

of a quadratic equation of the form

, we use the vertex formula

, and then, we evaluate our equation at

to find

.
We now from our quadratic that

and

, so lets use our formula:




Now we can evaluate our quadratic at 8 to find

:




So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:



The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is

The x-coordinate of the minimum is 8
Answer:
$180
Step-by-step explanation:
1. Find the perimeter: 2w + 2L
2(4) = 8 + 2(5) = 10
8 + 10 = 18 feet of fencing
2. multiply the cost per foot (10) by the number of feet (18)
10*18 = 180
The answer to the question
22 miles,
30miles - 8 miles = 22 miles
Mikes trip to work is 22 miles farther than sam’s