ANSWER
The x intercept is
![(-12,0).](https://tex.z-dn.net/?f=%28-12%2C0%29.)
The y intercept is
![(0, - 20).](https://tex.z-dn.net/?f=%280%2C%20-%2020%29.)
EXPLANATION
The equation of the given line is
![- 10x - 6y = 120](https://tex.z-dn.net/?f=%20-%2010x%20-%206y%20%3D%20120)
At x-intercept
![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
We substitute this y value to obtain the corresponding x value.
This implies that,
![- 10x - 6(0)= 120](https://tex.z-dn.net/?f=%20-%2010x%20-%206%280%29%3D%20120)
![- 10x - 0 = 120](https://tex.z-dn.net/?f=%20-%2010x%20-%200%20%3D%20120)
![- 10x = 120](https://tex.z-dn.net/?f=%20-%2010x%20%20%3D%20120)
We divide both sides by -10 to get,
![x = - 12](https://tex.z-dn.net/?f=x%20%3D%20%20-%2012)
The x-intercept is
![(-12,0).](https://tex.z-dn.net/?f=%28-12%2C0%29.)
At y-intercept also,
![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
We substitute this value of x into the equation to find the corresponding y-value.
This implies that,
![- 10(0) - 6y = 120](https://tex.z-dn.net/?f=%20-%2010%280%29%20-%206y%20%3D%20120)
![- 0- 6y = 120](https://tex.z-dn.net/?f=%20-%200-%206y%20%3D%20120)
![- 6y = 120](https://tex.z-dn.net/?f=%20%20-%206y%20%3D%20120)
We divide through by -6 to get,
![y = - 20](https://tex.z-dn.net/?f=y%20%3D%20%20-%2020)
The y-intercept is
Answer:
Step-by-step explanation:
Since we are given all of the necessary information we simply need to divide the total number of crayons by the total number of students that are getting crayons. This will give use the number of crayons that each student will get which will be represented by the variable x. Therefore, the equation would look like the following...
x = 48 / 6
3^-6
is equivelant to 9^-2
Let us set up the equation using the given information
Boys = x
Girls = √x
Boys + girls = 42
Equation: x + √x = 42
You can now work out this equation to solve for x, OR reason your way through it. By substituting numbers into the equation. Try 36
36 + √36 = 42
36 + 6 = 42
42 = 42
ANSWER: 36 Boys (and 6 girls)
Hope this helps! God bless!! :)
Account balance is $123.08
Step-by-step explanation:
- Step 1: Balance in Thompson's account = $283.12. Calculate the total amount of checks Thompson wrote in the month.
Total amount of checks = $23.09 + $7.56 + $125.11 + $4.28
= $160.04
- Step 2: Calculate his balance.
Account balance = $283.12 - $160.04
= $123.08