B. Apply the distributive priperty to get 4x-12=9
Answer:
X=$5000 in sales
Step-by-step explanation:
You can write an equation in slope-intercept to find an answer.
<em>y=0.2x+1000</em>, 20% commission is the slope and the base pay is the y-intercept.
Now, just plug in 2000 for y.
<em>2000</em><em>=</em><em>0.2x</em><em>+</em><em>1000,</em><em> </em>subtract 1000.
<em>1000</em><em>=</em><em>0.2x,</em><em> </em>Multiply by 5 to get x by itself.
<em>5000</em><em>=</em><em>x</em><em>.</em>
Answer:
![x=2](https://tex.z-dn.net/?f=x%3D2)
Step-by-step explanation:
When given the following equation;
![\frac{x+3}{3x-2}-\frac{x-3}{3x+2}=\frac{44}{9x^2-4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B3%7D%7B3x-2%7D-%5Cfrac%7Bx-3%7D%7B3x%2B2%7D%3D%5Cfrac%7B44%7D%7B9x%5E2-4%7D)
One has to solve for the variable (x). Remember, when working with fractions, one must have a common denominator in order to perform operations. Since the denominators on the left side of the equation are unlike, one must change them so that they are like denominators. Multiply each fraction by the other fraction's denominator on the respective side. Remember to multiply both the numerator and denominator by the value to ensure that the equation remains true.
![=\frac{x+3}{3x-2}*(\frac{3x+2}{3x+2})-\frac{x-3}{3x+2}*(\frac{3x-2}{3x-2})=\frac{44}{9x^2-4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bx%2B3%7D%7B3x-2%7D%2A%28%5Cfrac%7B3x%2B2%7D%7B3x%2B2%7D%29-%5Cfrac%7Bx-3%7D%7B3x%2B2%7D%2A%28%5Cfrac%7B3x-2%7D%7B3x-2%7D%29%3D%5Cfrac%7B44%7D%7B9x%5E2-4%7D)
Simplify,
![=\frac{(x+3)(3x+2)}{(3x-2)(3x+2)}-\frac{(x-3)(3x-2)}{(3x+2)(3x-2)}=\frac{44}{9x^2-4}\\\\=\frac{3x^2+11x+6}{9x^2-4}-\frac{3x^2-11x+6}{9x^2-4}=\frac{44}{9x^2-4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28x%2B3%29%283x%2B2%29%7D%7B%283x-2%29%283x%2B2%29%7D-%5Cfrac%7B%28x-3%29%283x-2%29%7D%7B%283x%2B2%29%283x-2%29%7D%3D%5Cfrac%7B44%7D%7B9x%5E2-4%7D%5C%5C%5C%5C%3D%5Cfrac%7B3x%5E2%2B11x%2B6%7D%7B9x%5E2-4%7D-%5Cfrac%7B3x%5E2-11x%2B6%7D%7B9x%5E2-4%7D%3D%5Cfrac%7B44%7D%7B9x%5E2-4%7D)
Distribute the negative sign to simplify the left side of the equation;
![=\frac{3x^2+11x+6}{9x^2-4}-\frac{3x^2-11x+6}{9x^2-4}=\frac{44}{9x^2-4}\\\\=\frac{3x^2+11x+6-(3x^2-11x+6)}{9x^2-4}=\frac{44}{9x^2-4}\\\\=\frac{3x^2+11x+6-3x^2+11x-6}{9x^2-4}=\frac{44}{9x^2-4}\\\\=\frac{22x}{9x^2-4}{=\frac{44}{9x^2-4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3x%5E2%2B11x%2B6%7D%7B9x%5E2-4%7D-%5Cfrac%7B3x%5E2-11x%2B6%7D%7B9x%5E2-4%7D%3D%5Cfrac%7B44%7D%7B9x%5E2-4%7D%5C%5C%5C%5C%3D%5Cfrac%7B3x%5E2%2B11x%2B6-%283x%5E2-11x%2B6%29%7D%7B9x%5E2-4%7D%3D%5Cfrac%7B44%7D%7B9x%5E2-4%7D%5C%5C%5C%5C%3D%5Cfrac%7B3x%5E2%2B11x%2B6-3x%5E2%2B11x-6%7D%7B9x%5E2-4%7D%3D%5Cfrac%7B44%7D%7B9x%5E2-4%7D%5C%5C%5C%5C%3D%5Cfrac%7B22x%7D%7B9x%5E2-4%7D%7B%3D%5Cfrac%7B44%7D%7B9x%5E2-4%7D)
Since the denominators on opposite sides of the equation are like, one can now ignore the denominators,
![=22x=44](https://tex.z-dn.net/?f=%3D22x%3D44)
Inverse operations,
![=22x=44](https://tex.z-dn.net/?f=%3D22x%3D44)
÷
÷![2](https://tex.z-dn.net/?f=2)
![x=2](https://tex.z-dn.net/?f=x%3D2)
The least number of computers that must be shipped is 10.
<h3>What is the least number of computers that must be shipped?</h3>
In order to determine the least number of computers that must be shipped, the equation that represents the cost of shipping should be equal to the selling price of the computers.
3000 + 100x = 400x
In order to determine the value of x, take the following steps:
3000 = 400x - 100x
3000 = 300x
x = 3000 / 300
x = 10
To learn more about profit, please check: brainly.com/question/26181966
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