Where is the function increasing?
A)1 B)3< X C)-infinity < x < 1
D)-infinity

A)

Step-by-step explanation:

Given:

A graph of a function.

When we analyze the given graph, it is of a parabola.

To find:

The interval of values of where the function is increasing.

Solution:

First of all, let us learn about the meaning of increasing and decreasing functions.

1. A function is known as increasing  in an interval when

Value of y keeps on increasing when we move from the value of x from a to b.

2. A function is known as decreasing  in an interval when

Value of y keeps on decreasing when we move from the value of x from a to b.

On analyzing the given graph , we can see that the graph is decreasing on the interval:

and is increasing on the interval:

When we choose from the options,

The correct answer is option A)

Given:

A jar of coins has 8 pennies, 5 nickels, 1 dime, and 7 quarters.

To find:

The probability of drawing a quarter, replacing it, and drawing another quarter.

Solution:

A jar of coins has 8 pennies, 5 nickels, 1 dime, and 7 quarters.

Total number of coins = 8+5+1+7 = 21

Probability of getting a quarter is

After drawing a quarter, we replaced it. So, the probability of getting quarter in second draw is the same and first one, .i.e., .

The probability of drawing a quarter, replacing it, and drawing another quarter is

Therefore, the required probability is .