Answer:
<h2>x = -17</h2>
Step-by-step explanation:
Answer:
IQR = 22
Step-by-step explanation:
IQR Formula:
IQR = Q3 - Q1
In order you find Q3 and Q1, please follow these steps:
1. First, you need to order the list of numbers from least to greatest:
2, 6, 9, 10, 16, 28, 33
2. Then, you need to find the median, or the middle number.
2, 6, 9, 10, 16, 28, 33
3. In order to find IQR, you must find the first and third quartiles.
2, 6, 9, 10, 16, 28, 33
Q1 = 6
Q3 = 28
This is because 6 basically means that all the numbers leading to 6 would account for 25% of the data while all the numbers leading to 28 would account for 75% of the data, hence why these are called quartiles.
Now since you have Q1 and Q3, you follow the formula.
28 - 6 = 22
IQR = 22
Answer:
5
Step-by-step explanation:
One method is to round 997 up to 1000, multiply by 8, and then subtract 8 times 3. This would give you the solution of 7976.
Another method (Which I personally wouldn't use) is to recursively double 997. This is more difficult, although effective. After you double 997, double the resulting number, and then double the resulting number from that, you have the solution. This is because 2^3 is 8.
Answer:
g(x) = (x-3)³ is the transformed function.
Step-by-step explanation:
Horizontal shift:
If f(x) is the parent function.
Then horizontal shift can be expressed as:
, will shift left units.
, will shift 
right c units.
Given the parent function
f(x) = x³
From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.
Therefore, according to the rule, :
g(x) = (x-3)³ is the transformed function.
From the graph,
- The Red graph indicates the parent function i.e. f(x) = x³
- The Blue graph indicates the transformed function i.e. g(x) = (x-3)³
It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.
Therefore, g(x) = (x-3)³ is the transformed function.
