<span>Successive discounts of 20% and 10% are taken on an item priced at $16.
=> Let's find out how much is the discount in all.
=> 16 dollars * .20 = 3.2 dollars
=> 16 - 3.2 = 12.8 dollars.
then another 10% discount,
=> 12.8 * .10 = 1.28 dollars
=> 12.8 - 1.28 = 11.52 dollars is not the price minus the discounts,</span>
Given:
On the first day, she drove 650 miles in 10 hours.
On the second day, she got a later start and drove 540 miles in 8 hours.
To find:
Difference between average speed of second day and first day.
Solution:
We know that,

On the first day, she drove 650 miles in 10 hours. So, the average speed is


So, the average speed on first day is 65 miles per hour.
On the second day, she got a later start and drove 540 miles in 8 hours.


So, the average speed on second day is 67.5 miles per hour.
Difference between average speed is

Therefore, the average speed on the second day is 2.5 miles per hour is faster than first day.
Answer:

Step-by-step explanation:
Given




Required
Determine the new coordinate of J
From rules of rotation,
When a point (x,y) is rotated 270 degrees CCW;
The new point becomes (y,-x)
Considering point J

This means

Where
and 
Using the above rotation rule of

The coordinates of J' becomes

Answer:
Karson's average speed on his way home was 28 miles per hour.
Step-by-step explanation:
Since Karson drove from his house to work at an average speed of 35 miles per hour, and the drive took him 20 minutes, if the drive took him 25 minutes and he used the same route in reverse, to determine what was his average speed going home, the following calculation must be performed:
60 = 35
20 = X
20 x 35/60 = X
700/60 = X
11.666 = X
25 = 11,666
60 = X
60 x 11.666 / 25 = X
27.99 = X
Therefore, Karson's average speed on his way home was 28 miles per hour.
Answer:
Step-by-step explanation:
g(x) is the translation of the parent function f(x) to left by 1 unit and slightly stretched vertically.
<u>g(x) is:</u>
<em>See attached with both graphs included</em>