Answer:
<u>The only x-intercept is x = 1</u>
Step-by-step explanation:
The equation is:

We can substitute y for r(x), to write in the notation:

To get y-intercept, we put x = 0
and
To get x-intercept, we put y =0
We want to find x-intercepts here, so we substitute 0 into y and solve for x. Shown below:

<u>The only x-intercept is x = 1</u>
Answer:
a) 1/27
b) 2/91
Step-by-step explanation:
A bag contains 10 red marbles and 5 blue marbles (15 marbles in total). You randomly select 3 marbles from the bag.
a) You replace each marble before selecting the next one.
The probability of selecting one blue marble is

then the probability that all 3 marbles are blue is

b) You do not replace each marble before selecting the next one. Each time the number of blue marbles decreases by 1 and the total number of marbles decreases by 1 too. So the probability that all 3 marbles are blue is

Let the number of shaded square be x. And it is given that total number of squares are 25.

Substituting the values

Performing cross multiplication

So 5 squares should be shaded to create a region with a geometric probability of 0.2 .
Using regular OLD math I get the answer...
466,452