we have

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Divide both sides by 

Rewrite as perfect squares

Taking the square roots of both sides (square root property of equality)

Remember that





<u>the answer is</u>
The solutions are


<h2><u>
Answer and explanation:</u></h2>
Two events are said to be dependent on each other, if the outcome of the first thing affects the outcome of the second thing in such a way that the probability changes.
Here, the right answer will be = removing a marble from a bag, not putting it back, and then removing a second marble.
Explanation:
Lets suppose there were 10 marbles in the bag at the first place. Now, you removed one marble and did not put it back. So, remaining marbles will be 9. Now, if again you choose a marble, you have 9 marbles to choose from. We can see that probability changes with the event that occurred at first place.
So, this is the right answer.
Rest options are simultaneous one. They are not dependent in any way.
Answer: D. 15
Step-by-step explanation:
Given : The revenue each season from tickets at the theme part is represented by
.
The cost to pay the employees each season is represented by
.
From the given graph , we can see that at 4th season, the profit = 15
Hence, the estimated profit after four seasons. =15
It depends on how b approaches 0
If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.
On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.
The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.