The correlation coefficient, denoted by r, tells us how closely data in a scatterplot falls along a straight line. The closer that the absolute value of r is to 1, the closer that the data is described by a linear equation.
If r =1 or r = -1 then the data set is perfectly aligned. Data sets with values of r close to zero show little to no str
inequality is difference in size, degree, circumstances, etc.; lack of equality.
aight-line relationship.
definition of Function is a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function).
categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, thus assigning each individual to a particular group or "category." In computer science and some branches of mathematics, categorical variables are referred to as enumerations or enumerated types.
hope that helps
Answer:
So a point is (-3,-5) and the vertex is (-4,-3)
Step-by-step explanation:
This is in vertex form. Vertex form is y=a(x-h)^2+k where (h,k) is the vertex.
The vertex here is (-4,-3)... now just use a value of x to plug in (any value besides -4)
I will choice -3. This gives -2(-3+4)^2-3
f(-3)=-2(1)^2-3
f(-3)=-2-3
f(-3)=-5
So a point is (-3,-5) and the vertex is (-4,-3)
Answer:
She consumes 30 blue ray disk and 60 DVD respectively.
Step-by-step explanation:
Consider the provided information.

Calculate marginal utility of good
Differentiate with respect of x and y.


Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10.
The ratio of marginal utility of good x to y is equal to the price ratio:

Substitute the respective values.




She has $1800 with which to spend on the two goods.
Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10. She has $1800 with which to spend on the two goods.
Therefore, 

Substitute the value of y in above equation.



Thus, 
She consumes 30 blue ray disk and 60 DVD respectively.
The ratio is 9 to 16
9/16 = x/12
cross multiply
9 times 12 = 108
16 times x = 16x
108 divided by 16 is 6.75
it would measure 12 by 6 3/4
Answer:
12
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ 3, 6 ] , then
f(b) = f(6) = 6² + 3(6) + 2 = 36 + 18 + 2 = 56
f(a) = f(3) = 3² + 3(3) + 2 = 9 + 9 + 2 = 20 , then
average rate of change =
=
= 12