Answer:
C.
Step-by-step explanation:
Alan and his classmates found that the line of best fit through the data had the equation
The slope of this line is
If a line would intersect this line of best fit at right angles, then the two lines are perpendicular to each other.
The slopes of perpendicular lines are negative reciprocals of each other,
Hence that line must have slope
Therefore we look for a line whose slope is from the given options.
That line is the third option
Answer:
The Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Step-by-step explanation:
We know that a geometric sequence has a constant ratio 'r'.
The formula for the nth term of the geometric sequence is
where
aₙ is the nth term of the sequence
a₁ is the first term of the sequence
r is the common ratio
We are given the explicit formula for the geometric sequence such as:
comparing with the nth term of the sequence, we get
a₁ = 125
r = 1/5
Recursive Formula:
We already know that
We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.
i.e.
Thus, substituting r = 1/5
and a₁ = 125.
Therefore, the Recursive Formula for the sequence is:
; a₁ = 125
Hence, option D is correct.
Answer:
B: y = -2x + 5
Step-by-step explanation:
-2 - 1 = -3
9 - 3 = 6
= -2
gradient = -2
3 = 1 x -2 + c
3 = -2 + c
5 = c
y intercept = 5
equation = y = -2x + 5
so the answer is option b