Answer:
Step-by-step explanation:
Given
Required
The equivalent recursive function
The general explicit function is:
So, by comparison
The recursion of an arithmetic sequence is:
Substitute 2 for d
Hence: (a) is correct
The coefficient of determination r² is 0.769² = 0.591. This means that 59.1% of the data y can be explained by the linear relationship between x and y while the other 40.9% is still unexplained. The positive value for the correlation coefficient r means that as values for x increases, values for y also increase.
A = P(1 + rt)
solve for t
t = ((A/P)-1)/r = ((10000/8000)-1)/0.06 = 4.167 years
Answer:
x = 40
y = 15
Step-by-step explanation:
Given is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
Therefore,
(x + 20)° = 60°
x + 20 = 60
x = 60 - 20
x = 40
4y = 60
y = 60/4
y = 15
Step-by-step explanation:
By definition, the area of a rectangle is given by:
A = w * lA=w∗l
Where,
w: width of the rectangle
l: length of the rectangle
We then have the following expression for the area:
A = k ^ 2 + 19k + 60A=k
2
+19k+60
What we must do is factorize the expression following the following steps:
1) Find two numbers that are equal to 19
2) Find two multiplied numbers equal to 60
We have then:
A = (k + 15) (k + 4)A=(k+15)(k+4)
Therefore, the width of the rectangle is:
w = (k + 4)w=(k+4)