Answer:
A. ![y=-1.2x+59](https://tex.z-dn.net/?f=y%3D-1.2x%2B59)
B. 42.2 million
Step-by-step explanation:
Part A:
Given:
Newspapers circulated in year 2004, ![y_{1}=59\textrm{ million}](https://tex.z-dn.net/?f=y_%7B1%7D%3D59%5Ctextrm%7B%20million%7D)
Newspapers circulated in year 2014, ![y_{2}=47\textrm{ million}](https://tex.z-dn.net/?f=y_%7B2%7D%3D47%5Ctextrm%7B%20million%7D)
Let the time
start at the year 2004. So, ![x_{1}=0](https://tex.z-dn.net/?f=x_%7B1%7D%3D0)
For the year 2014, ![x_{2}=2014-2004=10](https://tex.z-dn.net/?f=x_%7B2%7D%3D2014-2004%3D10)
Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:
![y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59](https://tex.z-dn.net/?f=y-y_%7B1%7D%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%28x-x_%7B1%7D%29%5C%5Cy-59%3D%5Cfrac%7B47-59%7D%7B10-0%7D%28x-0%29%5C%5Cy-59%3D-%5Cfrac%7B12%7D%7B10%7Dx%5C%5Cy%3D-1.2x%2B59)
Therefore, the equation describing the relationship is: ![y=-1.2x+59](https://tex.z-dn.net/?f=y%3D-1.2x%2B59)
Part B:
For the year 2018, ![x=2018-2004=14](https://tex.z-dn.net/?f=x%3D2018-2004%3D14)
Plug in 14 for
in the above equation and solve for
. This gives,
![y=-1.2(14)+59\\y=-16.8+59\\y=42.2](https://tex.z-dn.net/?f=y%3D-1.2%2814%29%2B59%5C%5Cy%3D-16.8%2B59%5C%5Cy%3D42.2)
Therefore, in the year 2018, the newspaper circulation will be 42.2 million.
Answer:
4:6 or 2:3
Step-by-step explanation:
Since the ratio of mass of oxygen to carbon is 4:3, when there are two carbons the ratio will be 4:3*2=4:6=2:3. Hope this helps!
It would be D.
Because the slope is the same but the yint is different
Answer:
The answer is 3x^2-4x-4+1/2x-1
Step-by-step explanation:
Hope this helps, and sorry if it's wrong.
Answer:
9x+5y=-45
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-0}{0--5}=\frac{-9}{0+5}=\frac{-9}{5}=\frac{-9}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B-9-0%7D%7B0--5%7D%3D%5Cfrac%7B-9%7D%7B0%2B5%7D%3D%5Cfrac%7B-9%7D%7B5%7D%3D%5Cfrac%7B-9%7D%7B5%7D)
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-0)=-9/5(x--5)
y=-9/5(x+5)
y=-9/5x-9
Now convert to standard form, Ax+By=C.
y=-9/5x-9
9/5x+y=-9
9x+5y=-45