Answer:
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a₁ and the common difference of successive members is d, then the n-th term of the sequence (aₙ) is given by: aₙ=a₁+(n-1)d, and in general aₙ=aₘ+(n-m)d.
The number of students that took Mrs. Smith's Math test as dshown in the stem-and-leaf plot is: 20.
<h3>What is a Stem-and-Leaf Plot?</h3>
A stem-and-leaf plot displays a data distrubution as follows, i.e., if 56, 57 are data points, 5 would be the stem while 6, 7 will be the leaf (5 | 6, 7).
The data points in the stem-and-leaf plot shown represents the score of each of the student. There are 20 data points.
Therefore, the number of students that took the test is: 20.
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Ok so for this equation it would be graphed one point is (0,-5) once you put that down your slope is 2/1 so go up two then to the right once and see if the other point is on there.
Answer:
The equation of line in slop-intercept form is given by:
Step-by-step explanation:
Given equation of line:
To find the equation of line parallel to the line of the given equation and passes through point (-3,1).
Applying slope relationship between perpendicular lines.
where and are slopes of parallel lines.
For the given equation in the form the slope can be found by comparing with standard form.
∴
Thus slope of line parallel to this line would be given as:
∴
The line passes through point (-3,1)
Using point slope form:
Where and
So,
Using distribution.
Adding 1 to both sides.
Thus the equation of line in slop-intercept form is given by:
Step-by-step explanation:
5x + 8 = 3x + 9
5x-3x=9-8
2x=1
x=1/2