What is the question pls so I might be able to help
$820.02
Step-by-step explanation:
Since the Taylor family had cash receipts of $876.16 and their excess of cash receipts above cash payments was $56.14.
The total cash payments for the month will be calculated as:
= $876.16 - $56.14
= $820.02
For this case we have that by definition, the line equation of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the statement we have:
![m = \frac {1} {2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D)
Thus, the equation is of the form:
![y = \frac {1} {2} x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20x%20%2B%20b)
We substitute the given point and find "b":
![-4 = \frac {1} {2} (1) + b\\-4 = \frac {1} {2} + b\\-4- \frac {1} {2} = b\\b = - \frac {9} {2}](https://tex.z-dn.net/?f=-4%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%281%29%20%2B%20b%5C%5C-4%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%2B%20b%5C%5C-4-%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%3D%20b%5C%5Cb%20%3D%20-%20%5Cfrac%20%7B9%7D%20%7B2%7D)
Finally, the equation is of the form:
![y = \frac {1} {2} x- \frac {9} {2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20x-%20%5Cfrac%20%7B9%7D%20%7B2%7D)
Answer:
![y = \frac {1} {2} x- \frac {9} {2}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%20%7B1%7D%20%7B2%7D%20x-%20%5Cfrac%20%7B9%7D%20%7B2%7D)
To simplify this, you would have to turn b^-2 into a positive exponent.
To do this, we have to flip b^-2, which would get rid of the negate from the exponent: -2
3a^4 b^-2 c^3 / b^-2
Then we get the answer:
3a^4 c^3
------------
b^-2
I have a picture to clarify!
I hope this helped, let me know if you don't understand! ^.^