Answer:
B
Step-by-step explanation:
Given
7 + x ≤ 10 ( subtract 7 from both sides )
x ≤ 3 → B
1.
In line with the test each person who came into interaction
with the infected person will become infected also. With this information, the
calculation would be: 9 people each day for 7days would be equivalent to 9 x 7
which equals 63 people.
2.
Here were 7 other people in the experiment if patient
zero is left out. If each person intermingled with 6 different people every day
in 7 days then the calculation would be: 7 people infected x 6 new people = 42
infected people each day
42 new people every day x 7 days = 294
infected persons.
Answer:
The equation of the line in slope-intercept form is:
Step-by-step explanation:
Given the points
Finding the slope
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-8%2C%5C%3A5%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%28-1%2C%5C%3A-5%5Cright%29)
![m=\frac{-5-5}{-1-\left(-8\right)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-5-5%7D%7B-1-%5Cleft%28-8%5Cright%29%7D)
![m=-\frac{10}{7}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B10%7D%7B7%7D)
We know the slope-intercept form of the line equation is
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
where m is the slope and b is the y-intercept
substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept
![5\:=\:\frac{-10}{7}\left(-8\right)+b](https://tex.z-dn.net/?f=5%5C%3A%3D%5C%3A%5Cfrac%7B-10%7D%7B7%7D%5Cleft%28-8%5Cright%29%2Bb)
![\frac{80}{7}+b=5](https://tex.z-dn.net/?f=%5Cfrac%7B80%7D%7B7%7D%2Bb%3D5)
![b=-\frac{45}{7}](https://tex.z-dn.net/?f=b%3D-%5Cfrac%7B45%7D%7B7%7D)
now substituting m = -10/7 and b = -45/7 in the slope-intercept form
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
![y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)](https://tex.z-dn.net/?f=y%5C%3A%3D%5C%3A%5Cfrac%7B-10%7D%7B7%7Dx%2B%5Cleft%28-%5Cfrac%7B45%7D%7B7%7D%5Cright%29)
![y\:=\:\frac{-10}{7}x-\frac{45}{7}](https://tex.z-dn.net/?f=y%5C%3A%3D%5C%3A%5Cfrac%7B-10%7D%7B7%7Dx-%5Cfrac%7B45%7D%7B7%7D)
Thus, the equation of the line in slope-intercept form is: