1. X=-2 x=1 x=5/2
2. X=0 x=-1/5 x=4/3 x=1
3.x>-2
4.X>_8
To find the car's total price, add the tax paid to the car's original price.
$32800 + $1968 = $34768
The total cost is $34,768
![\bf \cfrac{x}{4x+x^2}\implies \cfrac{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(4+x)}\implies \cfrac{1}{4+x}\qquad \{x|x\in \mathbb{R}, x\ne -4\}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bx%7D%7B4x%2Bx%5E2%7D%5Cimplies%20%5Ccfrac%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%284%2Bx%29%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B4%2Bx%7D%5Cqquad%20%5C%7Bx%7Cx%5Cin%20%5Cmathbb%7BR%7D%2C%20x%5Cne%20-4%5C%7D)
if you're wondering about the restriction of x ≠ -4, is due to that would make the fraction with a denominator of 0 and thus undefined.
Answer:
Option 2 is the correct answer.
Step-by-step explanation:
We know that

We have 1 mile = 5280 feet thus 6 miles = 31680 feet
Similarly 1 hour = 3600 seconds
Applying values in the equation above we get

Thus his average speed is less than 18feet/sec
Answer:
x = - 27/8

Step-by-step explanation:
¹²⁾x/5 - ¹²⁾1/5 = ²⁰⁾x/3 + ¹⁵⁾1/4
12x - 12 = 20x + 15
- 12 - 15 = 20x - 12x
- 27 = 8x
x = - 27/8
