The equation for a sequence is
an=a1+(n-1)d
Replace the variable with what you were given you get
37=-13+(n-1)5
Simplify
37=-13+5n-5
Combine like terms
37=5n-18
Reverse operations
55=5n
Simplify
n=11
please use my image as a reference (figure not drawn to scale).
AB is a straight line and the angle of a straight line = 180°
so that means , solve for :
combine like-terms
°
if you want to make sure of the answer, plug in in the equation:
When it comes to sampling methods, random sampling is one of the most effective. The principal wants the results of his or her sample to be as fair as possible, so it is best to choose students randomly, and in a neutral environment. The mall is not a neutral environment because not all students have access to the mall, and even those who do are not guaranteed to provide accurate results. The same goes for a basketball game, and student council. Samples taken from these environments are likely to produce more bias. However, collecting a survey from every tenth student entering the school one morning is more likely to produce accurate results that are representative of the school population.
Answer:
(x, y) = (-2, 3)
Step-by-step explanation:
In this form, it is easy to determine the x- and y-intercepts of each equation. That makes it easy to graph the first one, but not so easy to graph the second one on the given form.
The x-intercept is found by solving for x when y=0. In the two equations, the x-intercepts are ...
x = 4
x = -8 . . . . . . not shown on the given grid
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The y-intercepts are found by solving for y when x=0. In the two equations, the y-intercepts are ...
y = 4/2 = 2
y = -8/-2 = 4
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For the second equation, you can solve for y to put it in slope-intercept form.
x -2y = -8
x +8 = 2y . . . . . add 2y+8
y = 1/2x +4 . . . . . . . slope = 1/2, y-intercept = 4 (which we already knew)
This means the graph of the second equation will have a rise of 1 for each run of 2 units to the right. Working to the left from the y-intercept, we find another point to be (-2, 3), a point 2 left and 1 down from the y-intercept. This point is also on the line produced by the first equation, so (-2, 3) is the solution to the system.
-7 is the answer to this question