ANSWER:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:
![\begin{gathered} y=mx+b \\ m\text{ is the slope and b is the y-intercept } \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Dmx%2Bb%20%5C%5C%20m%5Ctext%7B%20is%20the%20slope%20and%20b%20is%20the%20y-intercept%20%7D%20%5Cend%7Bgathered%7D)
The slope can be calculated as follows:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We use the points (4,7) and (1,1) to calculate the slope:
![m=\frac{1-7}{1-4}=\frac{-6}{-3}=2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1-7%7D%7B1-4%7D%3D%5Cfrac%7B-6%7D%7B-3%7D%3D2)
Now, we calculate the value of b, using the point (1,1) and the slope, like this:
![\begin{gathered} 1=1\cdot2+b \\ b=-2+1 \\ b=-1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%201%3D1%5Ccdot2%2Bb%20%5C%5C%20b%3D-2%2B1%20%5C%5C%20b%3D-1%20%5Cend%7Bgathered%7D)
Therefore, the equation would be:
So 1/9-16z^2 this is a diffirence of two perfect squares thing
so (1/3)^2-(4z)^2
so ((1/3)-4z)((1/3)+4z)
Answer:
maybe 4
Step-by-step explanation:
Well consider the fact a normal diet is about 1,200 calories a day. half of that is 600, there for you lose 2 pounds in a week. if you cut that in half the chances are you'll loose 4 pounds. but consuming only 300 calories a day is extremely unhealthy
Answer:
Step-by-step explanation:
If given tables in the picture show the proportional relationship,
Number of wheels (w) ∝ Number of buses (b)
w ∝ b
w = kb
Here, k = proportionality constant
k = ![\frac{w}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Bw%7D%7Bb%7D)
Number of buses (b) Number wheels (w) Wheels per bus ![(\frac{w}{b})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bw%7D%7Bb%7D%29)
5 30
8 48 ![\frac{48}{8}=6](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B8%7D%3D6)
10 60 ![\frac{60}{10}=6](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B10%7D%3D6)
15 90 ![\frac{90}{15}=6](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B15%7D%3D6)
Here, proportionality constant is 6.
Similarly, If number of wheels (w) ∝ Number of train cars (t)
w = kt
Here, k = proportionality constant
k = ![\frac{w}{t}](https://tex.z-dn.net/?f=%5Cfrac%7Bw%7D%7Bt%7D)
Number of train cars(t) Number of wheels(w) Wheels per train car (
)
20 184 ![\frac{184}{20}=9.2](https://tex.z-dn.net/?f=%5Cfrac%7B184%7D%7B20%7D%3D9.2)
30 264 ![\frac{264}{30}=8.8](https://tex.z-dn.net/?f=%5Cfrac%7B264%7D%7B30%7D%3D8.8)
40 344 ![\frac{344}{40}=8.6](https://tex.z-dn.net/?f=%5Cfrac%7B344%7D%7B40%7D%3D8.6)
50 424 ![\frac{424}{50}=8.48](https://tex.z-dn.net/?f=%5Cfrac%7B424%7D%7B50%7D%3D8.48)
Since, ratio of w and t is not constant, relation between number of wheels and number of train cars is not proportional.