The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example: -3 - (- 5) = 2 -1 - (- 3) = 2 1 - (- 1) = 2 So you can see that the common difference is the 2.
The answer to the second question is option 3: y = | x + 7 | We can confirm it by substituting values in the equation. For example: if we do y = 0 then x = -7 if we do x = 0 then y = 7. As corresponds in the graph shown. Remember also that as a general rule yes to the equationy = | x | whose vertex is in the point (0,0) we add a positive real number "a" of form y = | x + a | then the graph of y = | x | will move "to" units in the negative direction of x.
The answer to the third question is option 4. The quotient of x and "and" is constant. k = y / x Rewriting: y = kx You can see that it corresponds to the equation of a line that passes through the origin, this means that and is proportional to x and both vary directly
