Answer:
You can drive at 53 miles per day.
Step-by-step explanation: Hope this helped )(-:
Answer: 5x-3
Step-by-step explanation:
3x+ 2x +2-5
5x -3
Given parameters:
Commission per sale = 8.15%
Cost of house sold = $877,000
Unknown:
Amount of commission earned = ?
Solution;
The amount of commissioned earned;
= Commission per sale x cost of house sold
=
x 877,000
= $71,475.5
The commission earned on this sale is $71,475.5
Answer:
C )
Step-by-step explanation:
![\frac{4x^{2} }{3x+5}-\frac{10}{x+8}=\\\\\frac{4x^{2}(x+8)-10(3x+5)}{(3x+5)(x+8)}\\](https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E%7B2%7D%20%7D%7B3x%2B5%7D-%5Cfrac%7B10%7D%7Bx%2B8%7D%3D%5C%5C%5C%5C%5Cfrac%7B4x%5E%7B2%7D%28x%2B8%29-10%283x%2B5%29%7D%7B%283x%2B5%29%28x%2B8%29%7D%5C%5C)
(4x³+32x²-30x-50)/(3x²+24x+5x+40)
(4x³+32x²-30x-50)/(3x²+29x+40)
Answer:
One real root ![x_{1}=5](https://tex.z-dn.net/?f=x_%7B1%7D%3D5)
Two imaginary roots
Step-by-step explanation:
Given polynomial,
![f\left ( x \right )=x^{3}-5x^{2}+6x-30](https://tex.z-dn.net/?f=f%5Cleft%20%28%20x%20%5Cright%20%29%3Dx%5E%7B3%7D-5x%5E%7B2%7D%2B6x-30)
![f\left ( x \right )=x^{3}-5x^{2}+6x-30=0](https://tex.z-dn.net/?f=f%5Cleft%20%28%20x%20%5Cright%20%29%3Dx%5E%7B3%7D-5x%5E%7B2%7D%2B6x-30%3D0)
![f\left ( x-k \right )=0](https://tex.z-dn.net/?f=f%5Cleft%20%28%20x-k%20%5Cright%20%29%3D0)
Apply hit and trial method to find zero
![x=5](https://tex.z-dn.net/?f=x%3D5)
![f\left ( 5 \right )=5^{3}-5\times 5^{2}+6\times 5-30](https://tex.z-dn.net/?f=f%5Cleft%20%28%205%20%5Cright%20%29%3D5%5E%7B3%7D-5%5Ctimes%205%5E%7B2%7D%2B6%5Ctimes%205-30)
![=125-125+30-30](https://tex.z-dn.net/?f=%3D125-125%2B30-30)
![f\left ( 5 \right ) =0](https://tex.z-dn.net/?f=f%5Cleft%20%28%205%20%5Cright%20%29%20%20%20%3D0)
This polynomial has one factor is ![\left ( x-5 \right )](https://tex.z-dn.net/?f=%5Cleft%20%28%20x-5%20%5Cright%20%29)
We can find another factor
![f\left ( x \right )/\left ( x-5 \right )=\left ( x^{3}-5x^{2}+6x-30\right )/\left ( x-5 \right )](https://tex.z-dn.net/?f=f%5Cleft%20%28%20x%20%5Cright%20%29%2F%5Cleft%20%28%20x-5%20%5Cright%20%29%3D%5Cleft%20%28%20x%5E%7B3%7D-5x%5E%7B2%7D%2B6x-30%5Cright%20%29%2F%5Cleft%20%28%20x-5%20%5Cright%20%29)
![=x^{2}+6](https://tex.z-dn.net/?f=%3Dx%5E%7B2%7D%2B6)
![f\left ( x \right )=\left ( x-5 \right )\left ( x^{2}+6 \right )=0](https://tex.z-dn.net/?f=f%5Cleft%20%28%20x%20%5Cright%20%29%3D%5Cleft%20%28%20x-5%20%5Cright%20%29%5Cleft%20%28%20x%5E%7B2%7D%2B6%20%5Cright%20%29%3D0)
![\left ( x-5 \right )\left ( x^{2}+6 \right )=0](https://tex.z-dn.net/?f=%5Cleft%20%28%20x-5%20%5Cright%20%29%5Cleft%20%28%20x%5E%7B2%7D%2B6%20%5Cright%20%29%3D0)
![\left ( x-5 \right )=0](https://tex.z-dn.net/?f=%5Cleft%20%28%20x-5%20%5Cright%20%29%3D0)
Real root ![x_{1}=5](https://tex.z-dn.net/?f=x_%7B1%7D%3D5)
is always positive so it have no real roots
Roots are imaginary
![x_{2}=2.449489i](https://tex.z-dn.net/?f=x_%7B2%7D%3D2.449489i)
![x_{3}=-2.449489i](https://tex.z-dn.net/?f=x_%7B3%7D%3D-2.449489i)
has one real root and two imaginary roots