Answer:
Given an exponential function of the form
y = a*(b)^x
The values of b that will result in the desired percentage values are:
Case 1
b = 23% decrease
1 - 0.23 = 0.77
y = a*(0.77)^x
Case 2
b = 8% increase
1 + 0.08 = 1.08
y = a*(1.08)^x
Case 3
b = 15% decrease
1 - 0.15= 0.85
y = a*(0.85)^x
Case 4
b = 120% increase
1 + 1.2 = 2.2
y = a*(2.2)^x
See attached picture for examples
The least possible sum is 10.
The pairs of factors for 24 are (1,24), (2,12), (3,8), (4,6) with sums 25, 14, 11, 10. So the numbers are 4 and 6.
6+4
Answer:
![x-12](https://tex.z-dn.net/?f=x-12)
Step-by-step explanation:
First open the brackets
![=(4x-6)-(3x+6)\\\\\\=4x-6-3x-6](https://tex.z-dn.net/?f=%3D%284x-6%29-%283x%2B6%29%5C%5C%5C%5C%5C%5C%3D4x-6-3x-6)
Then collect the like terms
![4x-3x-6-6](https://tex.z-dn.net/?f=4x-3x-6-6)
Solve the like terms
![4x-3x=x\\\\\\-6-6=-12\\\\\\=x-12](https://tex.z-dn.net/?f=4x-3x%3Dx%5C%5C%5C%5C%5C%5C-6-6%3D-12%5C%5C%5C%5C%5C%5C%3Dx-12)
The simplified form is
![x-12](https://tex.z-dn.net/?f=x-12)
To find the slope or rate of change find the difference of two y values and the difference of two x values and divide the difference of y by the difference of x:
![m=\frac{4.75-3.00}{1-0}=1.75](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4.75-3.00%7D%7B1-0%7D%3D1.75)
A slope of 1.75 means that they charge $1.75 for every mile.
Explanatory research is research conducted in order to explain any behaviour