1. The data is not linear. There's not a constant difference between the f(x) values. (AKA there's not a fixed slope between the data points)
2. The data is exponential, because there's a consistent ratio in the f(x) values:
189/567 = 1/3
63/189 = 1/3
21/63 = 1/3
7/21 = 1/3
Each new y-value (aka f(x)-value) is 1/3 the previous value.
Also, f(0)=567.
If we put that together, we have f(x) = 567 (1/3)^x.
Answer:
13 = x
Step-by-step explanation:
Remark
The six exterior angles add up to 360. In fact the exterior angles of any closed convex figure adds up to 360.
You can try this with simple figures. An equalateral triangle has 3 equal exteror angles. They are all 120 degrees 3*120 = 360
A square has 4 exterior angles. All 4 of them are 90 degrees. The sum of them is 90 * 4 = 360
Givens
Angles
- 3x+ 6,
- 7x - 11,
- 62,
- 4x + 7 ,
- 6x-5,
- 41
The Total is 360 degrees
Solution
3x + 6 + 7x - 11 + 62 + 4x + 7 + 6x - 5 + 41 = 360 Combine like terms
20x + 100 = 360 Subtract 100 from both sides
20x = 360 - 100
20x = 260
x = 13
Check
- 3x + 6 = 45
- 7x - 11 = 80
- 62
- 4x + 7 = 59
- 6x - 5 = 73
- <u> 41 </u>
- Total 360
Given:
The equation is:
To find:
The number that should be added to sides of the equation to complete the square.
Solution:
If an expression is in the form of , then we have to add to make it perfect square.
We have,
...(i)
To make it perfect square we need to add square of half of coefficient of x on both sides.
Coefficient of x is -10, so square of half of coefficient of x is:
On adding 25 on both sides of (i), we get
Therefore, we need to add 25 to both sides of the equation to complete the square.
Answer:
means the car uses 1 gallon of gas for every
miles driven.
Step-by-step explanation: