Answer:
2x - y = -7
Step-by-step explanation:
The equation y = 2x+7 needs to be written in standard form
where A must be positive.
To convert to standard form, subtract 2x from both sides.
-2x + y = 7
Multiply each term by -1.
-1(-2x + y =7)
2x - y = -7
There are certain cases that need to be taken into consideration: 1. If the lines intersect at one point the solution that fits all equations is exactly that point. 2. If the lines do not intersect at only one point the system has no solution because the lines 3. If the system of equations intersects completely overlaps the other line we say that we have an infinite number of solutions that fits the equations.
Answer:
One Whole number, one over two.
Step-by-step explanation:
Please find the attached file for the Solution.
Answer:
22.4 hours
Step-by-step explanation:
The population of bacteria is modelled by the equation:
![P=P_0e^{rt}](https://tex.z-dn.net/?f=P%3DP_0e%5E%7Brt%7D)
From the the question, the initial population of bacteria is 720.
So after 26 hours, we have:
![P=2P_0](https://tex.z-dn.net/?f=P%3D2P_0)
This implies that:
![2P_0=P_0e^{26r}](https://tex.z-dn.net/?f=2P_0%3DP_0e%5E%7B26r%7D)
![2=e^{26r}](https://tex.z-dn.net/?f=2%3De%5E%7B26r%7D)
![26r = ln(2)](https://tex.z-dn.net/?f=26r%20%3D%20%20ln%282%29%20)
![r = \frac{ ln(2) }{26}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Cfrac%7B%20ln%282%29%20%7D%7B26%7D%20)
![r = 0.0267](https://tex.z-dn.net/?f=r%20%3D%200.0267)
We want to find how long it will take for there to be 1310 bacteria present.
![1310=720e^{0.0267t}](https://tex.z-dn.net/?f=1310%3D720e%5E%7B0.0267t%7D)
![\frac{1310}{720} = {e}^{0.0267t}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1310%7D%7B720%7D%20%20%3D%20%20%7Be%7D%5E%7B0.0267t%7D%20)
![\ln(\frac{1310}{720}) = {0.0267t}](https://tex.z-dn.net/?f=%20%20%5Cln%28%5Cfrac%7B1310%7D%7B720%7D%29%20%20%3D%20%7B0.0267t%7D%20)
![0.59853= {0.0267t} \\ t = \frac{0.59853}{0.0267}](https://tex.z-dn.net/?f=0.59853%3D%20%7B0.0267t%7D%20%20%5C%5C%20t%20%3D%20%20%5Cfrac%7B0.59853%7D%7B0.0267%7D%20)
![t = 22.417](https://tex.z-dn.net/?f=t%20%3D%2022.417)
To the nearest tenth , it will take 22.4 hours
Answer:
A) an upper quartile of 56 and a median of 50
Step-by-step explanation:
Hello!
The lower and upper ends "box" from the box and whiskers plot is determined by the first (Q₁) and third (Q₃) quartiles of the data set and the line inside the box marks the median or second quartile of the sample (Q₂)
The length of the whiskers of the diagram is determined by the minimum value (left whisker) and the maximum value (right whisker)
If you observe the graphic:
Q₁= 42
Q₂= 50 (Median)
Q₃= 56
Min= 38
Max= 66
The box is delimited by a lower quartile of 42 and an upper quartile of 56, with a median 50, the least observation is 38 and the highest observation is 66.
The correct choice is A.
I hope this helps!