Answer:
E
Step-by-step explanation:
mark me brainelest pls
Usually the median is defined by the middle number, so without any doubts I can say that due to the fact that half of population has zero effect the overall index is zero. Hope it is clear that the last ( D.The median debt is zero because more than half of credit card debts are zero.) option is the only correct answer whereas the others ones are wrong.
ANSWER
![y = 3x - 3](https://tex.z-dn.net/?f=y%20%3D%203x%20-%203)
EXPLANATION
Let
![y = mx + c](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c)
be the equation.
We can choose any two ordered pairs to determine the equation of the relation.
![(6,15) \: and \: (8,21)](https://tex.z-dn.net/?f=%286%2C15%29%20%5C%3A%20and%20%5C%3A%20%20%288%2C21%29)
We find m using the formula;
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20)
![m = \frac{21 - 15}{8 - 6} = \frac{6}{2} = 3](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B21%20-%2015%7D%7B8%20-%206%7D%20%20%3D%20%20%5Cfrac%7B6%7D%7B2%7D%20%20%3D%203)
The equation becomes
![y = 3x + c](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%20c)
When x=6, y=15.
This implies that,
![15 = 3(6) + c](https://tex.z-dn.net/?f=15%20%3D%203%286%29%20%2B%20c)
![15= 18 + c](https://tex.z-dn.net/?f=15%3D%2018%20%2B%20c)
![15 - 18= c](https://tex.z-dn.net/?f=15%20-%2018%3D%20c)
![c = -3](https://tex.z-dn.net/?f=c%20%3D%20%20-3)
The equation of the relation is therefore,
![y = 3x -3](https://tex.z-dn.net/?f=y%20%3D%203x%20-3)
Answer:
![x\approx-0.7149](https://tex.z-dn.net/?f=x%5Capprox-0.7149)
Step-by-step explanation:
![\displaystyle 6^{x+2}=10\\\\\log_6(6^{x+2})=\log_6(10)\\\\x+2=\frac{\log(10)}{\log(6)}\\\\x+2\approx1.2851\\\\x\approx-0.7149](https://tex.z-dn.net/?f=%5Cdisplaystyle%206%5E%7Bx%2B2%7D%3D10%5C%5C%5C%5C%5Clog_6%286%5E%7Bx%2B2%7D%29%3D%5Clog_6%2810%29%5C%5C%5C%5Cx%2B2%3D%5Cfrac%7B%5Clog%2810%29%7D%7B%5Clog%286%29%7D%5C%5C%5C%5Cx%2B2%5Capprox1.2851%5C%5C%5C%5Cx%5Capprox-0.7149)
Recall that the change of base formula is ![\displaystyle \log_a(b)=\frac{\log(b)}{\log(a)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clog_a%28b%29%3D%5Cfrac%7B%5Clog%28b%29%7D%7B%5Clog%28a%29%7D)
You want one of the values in the ratio to be one for a unit rate. First, write out the ratio. It is 70 miles/2 hours. It's better not to include decimal numbers when you write a ratio when you can, so we're going to make the hours the unit rate. To make 2 -> 1 hour, divide both sides of the ratio by 2. 70/2 = 35.
The unit rate is 35 mi./hr.
Hope that helped you.