Answer:
A.After how many months will Xian and Kai have the same number of stamps?
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
x = x + 9
x - x = 9
0 = 9
<u><em>it's false </em></u>
From the observation of the dispersion graph it is concluded that the answer to this question is option D. r = -0.5.
The correlation coefficient "r" is a measure of the linear relationship between two random variables.
When the correlation is positive, the value of "r" is between 0 and 1. This means that when one variable increases the other too.
When the correlation is negative, the value of "r" is between -1 and 0. This means that one variable decreases as the other increases.
When there is no correlation the value of "r" is 0
In this case, the dispersion chart shows that the variable "y" decreases as the variable "x" increases. Therefore the value of "r" must be negative. Of all the options, the only one that presents a value of negative r is option D:
r = -0.5

by separating the variables
∴ y dy = -x dx
integrating both sides with respect to x
∴ ∫y dy = ∫-x dx
∴

finding c using initial condition y(2) = 2.
∴

∴ c = 4
∴

multiplying all the equation by 2
∴ y² = -x² + 8
∴ x² + y² = 8
The resultant equation represents the equation of the circle
with center (0,0) and radius = √8 = 2√2
so, the domain of this function is [-2√2 , 2√2]
See the attached figure