Answer:
B is a convex polygon cause it points out
Answer: Graph D (bottom right corner)
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Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
Answer:
3, - 2, - 7, - 12, - 17, - 22
Step-by-step explanation:
To find the first 6 terms substitute n = 1, 2, 3, 4, 5 into the formula, that is
t(1 + 1) = t(1) - 5 ⇒ t(2) = 3 - 5 = - 2
t(2 + 1) = t(2) - 5 ⇒ t(3) = - 2 - 5 = - 7
t(3 + 1) = t(3) - 5 ⇒ t(4) = - 7 - 5 = - 12
t(4 + 1) = t(4) - 5 ⇒ t(5) = - 12 - 5 = - 17
t(5 + 1) = t(5) - 5 ⇒ t(6) = - 17 - 5 = - 22