Question

Math help please, thank you!

Answer 1

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