The derivative of 
in the direction of a vector 
is
With 
, we get
and 
,
Then
Answer:
- y = 0.937976x +12.765
- $12,765
- $31,524
- the cost increase each year
Step-by-step explanation:
1. For this sort of question a graphing calculator or spreadsheet are suitable tools. The attached shows the linear regression line to have the equation ...
... y = 0.937976x + 12.765
where x is years since 2000, and y is average tuition cost in thousands.
2. The y-intercept is the year-2000 tuition: $12,765.
3. Evaluating the formula for x=20 gives y ≈ 31.524, so the year-2020 tuition is expected to be $31,524.
4. The slope is the rate of change of tuition with respect to number of years. It is the average increase per year (in thousands). It amounts to about $938 per year.
5. [not a math question]
The <em><u>correct answer</u></em> is:
Any real number for x except 5, and any real number for y.
Explanation:
A function is a relation in which each element of the domain, or x-value, is mapped to one element of the range, or y-value. This means that no x can be mapped to more than one y, so if we have the same number used twice for x, we do not have a function.
This means that 5 cannot be used for x in the other ordered pair.
Since there is no restriction on y in order to be a function, y can be any real number.
Answer:
D. -3x
Step-by-step explanation:
Terms have the form k or kx^n, where k is a number, x is a variable, and n is a whole number.
-3x follows the above rule, so -3x is a term.
Answer:
4 :)
Step-by-step explanation:
