Answer: x=40/3
Step-by-step explanation: 12=0.9x
0.9x=12
0.9x(10)=12(10)
9x/9=120/9
x=40/3
Answer: y = -(x + 2)²
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(bx - h)² + k where
- a: vertical stretch (if negative it is a reflection across x-axis)
- b: horizontal stretch (if negative it is a reflection across y-axis)
- h: horizontal shift (negative is left and positive is right)
- k: vertical shift (negative is down and positive is up)
- (h, k): vertex of the function
Given: reflection over x-axis → a = -1, two units left → c = -2
Input those values into the equation: y = -(x - (-2))²
simplify: y = -(x + 2)²
36?
if the independent variable is on the x axis, and based on the given coordinate, the outcome is always triple the amount of the input.
multiply 12 by 3
12x3 is 36.
I THINK that 36 is the correct answer.
The <em>correct answer</em> is:
A∪B={}
Explanation:
Since A∩B = ∅, we know that A and B have no elements in common. This means they are disjoint.
Since the universal set is made up of A and B, and A and B have no elements in common, then A is equal to the complement of B, or A = B'.
Since A and B have no elements in common, A is not a subset of B.
Since we are told at the beginning that A and B are not the empty set, there is no way that their union would be empty. The union of A and B, or A∪B, would contain at least two distinct elements, one from A and one from B.
