Write an inverse variation equation, y = , that satisfies the ordered pairs in the table.?

Question

x 2 -9 9/2 -4

y 9 -2 4 -9 / 2

Answer 1

An inverse relation tells us that we have an equation of the form y = k/x for some constant k. Since y = 9 when x = 2, we find k = 18. You can check to see that y = 18/x satisfies the other values in your table.

Answer 2

34. to remedy this, attempt the standards in the equation and spot which equation works. by using fact it needs an equation this is y =, needless to say it can not be C or D. the respond is A by using fact it works. forty seven. Quadratic equations are of the type ax^2 + bx + c = 0, whether we use a variable different than x. With the equation a million/3 d^2 - d + a million/3 = 0, a = a million/3, b = -a million, and c = a million/3. The quadratic formula looks like this: (-b +/- Square_root(b^2 - 4*a*c)) / (2 * a) Plug in the numbers and artwork it out as terrific you are able to. you're meant to, for this reason, depart the respond as a fragment. forty 8. This one is greater user-friendly to place in writing out so i will do the entire ingredient for you. 11m^2 + 4m = 0 a = 11, b = 4, c = 0 x = (-b +/- Square_root(b^2 - 4*a*c)) / (2 * a) x = (-4 +/- Square_root(sixteen - 4 * 11 * 0)) / (2 * 11) x = (-4 +/- Square_root(sixteen)) / 22 x = (-4 +/- 4) / 22 x = {0, -4/11} forty 9. greater of the comparable, different than we would desire to first placed the equation into time-honored type. 7x^2 = 3x - 7 7x^2 - 3x = -7 7x^2 - 3x + 7 = 0 x = (-b +/- Square_root(b^2 - 4*a*c)) / (2 * a) and that i will assist you're taking it from there.