The relation t relates x to y. To determine if it is a function, see if one x value can give two different y values. Since each x value only has one y value, the relation is a function. To check if the inverse is a function, see if any one y value will give multiple x values. By inversing t, there are two values of x for the value of y = -4 (x = 4 and x = 6), so this is NOT a function.
Answer: Relation t is a function. The inverse of relation t is NOT a function.
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:
The answer rounded to the nearest percent is 19%.
Step-by-step explanation:
The formula for percent change is this:
((y2 - y1) / y1)*100
Let y1 be the first value (595) and let y2 be the second (708).
((702 - 595) / 595)*100
702 - 595 is 107 and 107/595 is approximately 0.188, multiplied by 100 is 18.8, which is rounded to 19%.
That is our solution.
<em>And that's an awfully small amount of rent to pay (at least in California).</em>