What is the solution to 3 + 4e^x+1 = 11?
Solution:
![3+4e^{x+1}=11](https://tex.z-dn.net/?f=3%2B4e%5E%7Bx%2B1%7D%3D11)
To solve for x, Let us subtract 3 from both sides
![3+4e^{x+1}-3=11-3](https://tex.z-dn.net/?f=3%2B4e%5E%7Bx%2B1%7D-3%3D11-3)
![0+4e^{x+1}=8](https://tex.z-dn.net/?f=0%2B4e%5E%7Bx%2B1%7D%3D8)
![4e^{x+1}=8](https://tex.z-dn.net/?f=4e%5E%7Bx%2B1%7D%3D8)
Let us divide by 4 on both sides
![\frac{4e^{x+1}}{4} =\frac{8}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4e%5E%7Bx%2B1%7D%7D%7B4%7D%20%3D%5Cfrac%7B8%7D%7B4%7D)
![\frac{1e^{x+1}}{1} =\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B1e%5E%7Bx%2B1%7D%7D%7B1%7D%20%3D%5Cfrac%7B2%7D%7B1%7D)
![e^{x+1} =2](https://tex.z-dn.net/?f=e%5E%7Bx%2B1%7D%20%3D2)
Let us take ln on both sides
![ln (e^{x+1}) =ln(2)](https://tex.z-dn.net/?f=ln%20%28e%5E%7Bx%2B1%7D%29%20%3Dln%282%29)
So, x+1=ln(2)
To solve for x, Let us subtract 1 from both sides
x+1-1=ln(2) -1
x+0=ln(2)-1
x= ln(2) -1
Answer: Option (A)
x=ln(2)-1
Answer:
x axis = (-3,0) y axis = (0,3)
Step-by-step explanation:
<em>let the charges of washer <u>= x ..
</u></em><em>charges of dryer is three times than <u>x = 3x
</u></em><em><u>as we know their addition is 600 so
</u></em><em><u>x + 3x = 600
</u></em><u><em>4x = 600
</em></u><u><em>dividing 4 on other side we get
</em></u><u><em>x = 600 / 4
</em></u><em><u>x = 150..
</u></em><em><u>charges of washer = x= 150 dollars
</u></em><u><em>charges of dryer = 3x= 3 (150) = 450 dollars</em></u>
Question 1)
Given the points
Finding the slope between (3, 5) and (3, -6)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-6 - 5] / [3 - 3]
= -11 / 0
= undefined or ∞
Thus, the slope of the line = m = undefined.
Note: The undefined slope means the line is vertical.
Question 2)
Given the points
Finding the slope between (-6, 2) and (8, 2)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 2] / [8 - (-6)]
= 0 / 14
= 0
Thus, the slope of the line = m = 0.
Note: The zero slope means the line is horizontal.
Answer:20
Step-by-step explanation:
16/x =80/100 and solve for x