Original equation is 
So, 
and
If we compare this equation with the given options, we can easily find that this matches with the last one 
with P = p/2.
Hence, correct option is .
Answer:
a=10 students because there are 10 answers.
b=5
Step-by-step explanation:
a=10 students because there are 10 answers.
b, you need to list the numbers all out and rearrange them from smallest to largest.
0, 0, 1, 2, 3, 7, 9, 10, 13, 15
The median means the middle which is 3 and 7
Because we have two numbers, we need to find the middle number of 3 and 7 which is <u><em>5</em></u>
Answer:
The assignment of teachers to students enrolled in each of their classes is NOT an example of a function.
Step-by-step explanation:
To determinate if the given example is a function, you have to use the definition of function and compare it to the example.
A function is defined as a relation that assigns each element of one set to exactly one element of the second set. The first set is called the domain and the second set is called the range.
In this case, the domain is represented by the teachers and the range is the students enrolled in each teacher's classes.
Therefore, the example is not a function because each teacher is not assigned to exactly one student. In other words, in general, one teacher has more than just one student.
Answer:
$45
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 = 8 parts
Divide the amount by 8 to find the value of one part of the ratio.
$120 ÷ 8 = $15 ← value of 1 part of the ratio, thus
3 parts = 3 × $15 = $45 ← amount David received
Here you'll need differential calculus.
The distance between (3,0) and (x, sqrt(2)*x + 4) is given by the distance formula:
distance: sqrt [ (3+x)^2 + (sqrt(2)*x + 4)^2 ]
Differentiate this, and then set the resulting derivative = to 0. Solve for x. Test your results to ensure that the distance d is actually the SMALLEST, given the root(s) x that you've found.
Write the coordinates of this point on the curve as ( x, f(x) ).
