You can use 1 of 2 methods to solve this problem. You can either solve it traditionally or by just looking at it (you don't necessarily need to convert it to scientific notation to find the answer).
{METHOD 1}- Traditional Method
Scientific Notation is just another way of writing REALLY BIG or REALLY SMALL numbers in a simplified manor
Let's take 232,000,000 for instance
First you want to find your decimal number. Your decimal number has to be Greater than 1 and less than 10.
In this case your decimal number will be 2.32
Then let's could how many decimal places are to the RIGHT of 2.32
Keep in mind that if the number is very small you have to count the decimal places to the LEFT
{METHOD 2}
If you look at 232,000,000 and 2,320,000,000 you can tell that 2,320,000,000 is longer just by looking at it, so you can determine that ....
232,000,000 = 2.32E8
2,320,000,000=2.32E9
Using the same method you can solve the last two.
0.00000431 is a larger number than 0.000000000000431. So you can then determine that.....
0.00000431= 4.31E-6
0.000000000000431=4.31E-13
I got b to the 2 power -4
Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.
Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.
And Yes, there is a significant difference.
<h3>What is a function?</h3>
A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Car 1 (value in dollars)
Year 1: 18,500
Year 2: 17,390
Year 3: 16,346.60
Car 2 (value in dollars)
Year 1: 18,500
Year 2: 17,500
Year 3: 16,500
The exponential function describes car 1.
Then the function will be
![\rm P = 18500\times (0.95995)^n](https://tex.z-dn.net/?f=%5Crm%20P%20%3D%2018500%5Ctimes%20%280.95995%29%5En)
The linear function describes car 2.
![\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500](https://tex.z-dn.net/?f=%5Crm%20y%20%5C%20-%20%5C%2018500%20%3D%20%5Cdfrac%7B-2000%7D%7B3%7D%28x%20-%200%29%5C%5C%5C%5C%5C%5C3y%20-%2055500%20%3D%20-2000x%5C%5C%5C%5C%5C%5C2000x%20%2B3y%20%3D%2055500)
Then the value of the car 1 after 10 years will be
![\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5](https://tex.z-dn.net/?f=%5Crm%20P%20%3D%2018500%5Ctimes%20%280.95995%29%5E%7B10%7D%5C%5C%5C%5C%5C%5CP%20%3D%20%5C%24%20%5C%2012%2C235.5)
Then the value of the car 2 after 10 years will be
![\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33](https://tex.z-dn.net/?f=%5Crm%202000%20%5Ctimes%2010%20%2B3y%20%3D%2055500%5C%5C%5C%5Cy%20%3D%20%20%5C%24%20%5C%2011%2C833.33)
Yes, there is a significant difference.
More about the function link is given below.
brainly.com/question/5245372
#SPJ1
Answer:
|x + 5|= 7
-7<(x+5)<7
-7<x+5<7
-7-5<x+5-5<7-5
-12 < x <2
Step-by-step explanation: