Answer:
Option 3 is correct
Marty’s with a slope of 1/3
Step-by-step explanation:
Using slope intercept form:
The equation of line is:
....[1]
where,
m is the slope and b is the y-intercept.
Formula for Slope is given by:
....[2]
As per the statement:
Marty and Ethan both wrote a function, but in different ways.
Marty equation is:
![y+3 = \frac{1}{3}(x+9)](https://tex.z-dn.net/?f=y%2B3%20%3D%20%5Cfrac%7B1%7D%7B3%7D%28x%2B9%29)
using distributive property
we have;
![y+3 = \frac{1}{3}x+3](https://tex.z-dn.net/?f=y%2B3%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%2B3)
Subtract 3 from both sides we have;
![y= \frac{1}{3}x](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B3%7Dx)
On comparing with [1] we have;
Slope of Marty = ![\frac{1}{3}=0.333..](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%3D0.333..)
Ethan wrote a function:
Consider any two values from the table we have;
(0, 10) and (2, 10.4)
Substitute these in [2] we have;
Slope of Ethan = 0.2
![\text{Slope of Ethan} < \text{Slope of Marty}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%20of%20Ethan%7D%20%3C%20%5Ctext%7BSlope%20of%20Marty%7D)
Therefore, . Marty’s with a slope of 1/3 function has the larger slope
1). 6+12k-6k=24k-12
6+6k=24k-12
18=-18k
K= -1
2). 2+12x+6-12x=2x
8=2x
x=4
There are 10 cards. They are numbered: 9,10,11,12,13,14,15,16,17,18. One card is randomly picked. What is P(prime number)? 20%,3
arlik [135]
So there are 10 numbers, and 3 of them are prime. Our prime numbers are 11, 13, and 17.
3/10 would be our fraction for this equation, and 3/10 is equal to 30%.
30% is your answer!
Answer:
50,000
Step-by-step explanation:
10*5,000=50,000