Answer:
The 53rd term of this arithmetic sequence is -805.
Step-by-step explanation:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term, that is, .
To find the nth term of the sequence, this equation can be written as:
27,11, -5
So
The 53rd term of this arithmetic sequence is -805.
Answer:
slope = and -
, perpendicular
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = x + 11 is in this form with m =
Rearrange 7x + 3y = 13 into this form
subtract 7x from both sides
3y = - 7x + 13 ( divide all terms by 3 )
y = - x +
← in slope- intercept form
with m = -
• Parallel lines have equal slopes
• The product of perpendicular slopes = - 1
The lines are not parallel since slopes are not equal
× -
= - 1
Hence lines are perpendicular
Answer:
A. 49
Step-by-step explanation:
The average rate of change for the interval ranging from x = 3 to x = 5 for the given function represented in the table above can be calculated using:
x2 = 5
x1 = 3
f(x2) = f(5) = 125
f(x1) = f(3) = 27
Thus,
Average rate of change = 49
Average rate of change of the given table values representing an exponential function is A. 49.
