we have
![y=\frac{1}{3}x-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx-2)
<u>Statements</u>
<u>case A)</u> The graph is a straight line.
The statement is True
Because, this is a linear equation (see the attached figure)
<u>case B)</u> The line passes through the origin.
The statement is False
Because the point
is not a solution of the equation
Verify
Substitute the value of x and y in the equation
![0=\frac{1}{3}*0-2](https://tex.z-dn.net/?f=0%3D%5Cfrac%7B1%7D%7B3%7D%2A0-2)
------> is not true
the point
is not a solution
therefore
The line does not pass through the origin
<u>case C)</u> The line passes through the point ![(0,-2)](https://tex.z-dn.net/?f=%280%2C-2%29)
The statement is True
Because the point
is a solution of the equation
Verify
Substitute the value of x and y in the equation
![-2=\frac{1}{3}*0-2](https://tex.z-dn.net/?f=-2%3D%5Cfrac%7B1%7D%7B3%7D%2A0-2)
------> is true
the point
is a solution
therefore
The line passes through the point ![(0,-2)](https://tex.z-dn.net/?f=%280%2C-2%29)
<u>case D) </u>The slope of the line is ![3](https://tex.z-dn.net/?f=3)
The statement is False
Because, the slope of the line is ![m=\frac{1}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D)
<u>case E)</u> The y-intercept of the line is ![2](https://tex.z-dn.net/?f=2)
The statement is False
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For ![x=0](https://tex.z-dn.net/?f=x%3D0)
find the value of y
![y=\frac{1}{3}*0-2=-2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%2A0-2%3D-2)
the y-intercept is equal to ![-2](https://tex.z-dn.net/?f=-2)
Answer:
Step-by-step explanation:
Length = L.
Width = 2L-3.
A = L * W = 170.
L * (2L-3) = 170.
2L^2 - 3L - 170 = 0,
L = (-B +- Sqrt(B^2-4AC))/2A.
L = (3 +- Sqrt(9 + 1360))/4,
L = (3 +- 37)/4 = 0.75 +- 9.25 = 10, and -8.5. In.
Use positive value: L = 10 In.
So what you have to do to figure this out is 47-20 to get 27, then take 27 and divide it by 3 to get the answer of 9 comic books were sold by John.
Answer:
88,000
Step-by-step explanation:
The number in the thousands is 7. If we look at the hundreds, it has a 5. 5 or more means to round up. So, rounding up the 7 gives us 8. Then, we make all the numbers past the 1000's place 0's. So, we are therefore left with 88,000.
Hope this helps! :D
Answer:
x = 2
Step-by-step explanation:
![6x + 9y - 12 = 0 \\ 6x + 9 \times 0 - 12 = 0 \\ 6x + 0 - 12 = 0 \\ 6x - 12 = 0 \\ 6x = 12 \\ x = 2](https://tex.z-dn.net/?f=6x%20%2B%209y%20-%2012%20%3D%200%20%5C%5C%206x%20%2B%209%20%5Ctimes%200%20%20-%2012%20%3D%200%20%5C%5C%206x%20%2B%200%20-%2012%20%3D%200%20%5C%5C%206x%20-%2012%20%3D%200%20%5C%5C%206x%20%20%3D%2012%20%5C%5C%20x%20%3D%202)