What is the slope of the line, that goes through the ordered pairs (5, 2) and (-1, 10)?
-4/3
What is the common difference in this sequence: 3, 6, 9, 12, ...
3
What is the explicit formula that can be used for the following sequence? 25, 30, 35, 40, ...
(All components must be included)
an = 25 + (n-1)(5)
Does the linear equation y = -2x + 13 pass through the point (6, 1). Show an equation to justify your answer.
YES. 1 = -2(6) + 13
1 = 1
What is the slope of the line, created by the given equation:
2x + 5y = 20
-2/5
In the following arithmetic sequence, what is the value of a7
23, 29, 35, 41
a7 = 59
What is the explicit formula that can be used for the following sequence?
1, 3/4, 1/2, 1/4, 0...
(All components must be included)
an = 1 + (n-1)1/4
What's the linear equation of the line that passes through (2, -1) and (10, 11). Express your answer in the simplest form of
y = mx + b
y = 3x/2 - 4
What is the equation of the line that has a slope of (-2) and passes through the points (3, -1)?
y = -2x + 5
What is the value of a29 in the following arithmetic sequence
46, 37, 28, 19, 10,...
a29 = -206
What is the recursive formula for the following sequence:
4, 8, 12, 16, 20, ...
an = an-1 + 4
A wheel with a diameter of 12 inches will move 475 inches when rolled 9 times. How far will the same wheel roll, to the nearest inch, in 20 rolls?
1056 inches
In the following Sequence,
46, 50, 54, 58, 62,...
What term number is 114
114 is the 18th term. (a18)
Find the 15th term of the arithmetic sequence with the second term being -1 and the common difference is -6.
a15 = -79
Given the equation: 2ar + 3s = t + u
Solve for r:
r = (t + u - 3s)/2a
What is the equation of the horizontal line that also intersects with another line at the point (-3, 5)?
y = 5
The following is an arithmetic sequence:
x+5, x+9, x+13, x+17, ...
What is a12
x + 27
In the arithmetic sequence
4, 7, 10, 13,... which term has a value of 307
The 102nd term in this sequence is 307.
What is the 10th number in this sequence? 4, 9, 14, 19, ...
a10 = 49
The quotient of a irrational number and an irrational number is what?
Provide one example to support your answer.
Can be both rational and irrational.