Answer:
A. Consistent and dependent
Answer:
<h2>x = 7</h2>
Step-by-step explanation:
The largest number is 5. Therefore x ≥ 6.
Convert numbers from x system to decimal system:
![42_x=4x+2\\\\53_x=5x+3\\\\125_x=1x^2+2x+5](https://tex.z-dn.net/?f=42_x%3D4x%2B2%5C%5C%5C%5C53_x%3D5x%2B3%5C%5C%5C%5C125_x%3D1x%5E2%2B2x%2B5)
Solve the equation for x:
![42_x+53_x=125_x\Rightarrow4x+2+5x+3=x^2+2x+5\qquad\text{combine like terms}\\\\(4x+5x)+(2+3)=x^2+2x+5\\\\9x+5=x^2+2x+5\qquad\text{subtract 5 from both sides}\\\\9x=x^2+2x\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\0=x^2-7x\\\\x^2-7x=0\qquad\text{distributive}\\\\x(x-7)=0\iff x=0\ \vee\ x-7=0\\\\x=0](https://tex.z-dn.net/?f=42_x%2B53_x%3D125_x%5CRightarrow4x%2B2%2B5x%2B3%3Dx%5E2%2B2x%2B5%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%284x%2B5x%29%2B%282%2B3%29%3Dx%5E2%2B2x%2B5%5C%5C%5C%5C9x%2B5%3Dx%5E2%2B2x%2B5%5Cqquad%5Ctext%7Bsubtract%205%20from%20both%20sides%7D%5C%5C%5C%5C9x%3Dx%5E2%2B2x%5Cqquad%5Ctext%7Bsubtract%7D%5C%209x%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C0%3Dx%5E2-7x%5C%5C%5C%5Cx%5E2-7x%3D0%5Cqquad%5Ctext%7Bdistributive%7D%5C%5C%5C%5Cx%28x-7%29%3D0%5Ciff%20x%3D0%5C%20%5Cvee%5C%20x-7%3D0%5C%5C%5C%5Cx%3D0%3C7%5Cqquad%5Cbold%7Bit%27s%5C%20not%5C%20a%5C%20solution%7D%5C%5C%5C%5Cx-7%3D0%5Cqquad%5Ctext%7Badd%207%20to%20both%20sides%7D%5C%5C%5C%5Cx%3D7%5Cqquad%5Cbold%7Bit%27s%5C%20a%5C%20solution%7D)
The point-slope form:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-5, -2) and (1, 2). Substitute:
![m=\dfrac{2-(-2)}{1-(-5)}=\dfrac{2+2}{1+5}=\dfrac{4}{6}=\dfrac{2}{3}\\\\y-(-2)=\dfrac{2}{3}(x-(-5))\\\\\y+2=\dfrac{2}{3}(x+5)\to c.](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B2-%28-2%29%7D%7B1-%28-5%29%7D%3D%5Cdfrac%7B2%2B2%7D%7B1%2B5%7D%3D%5Cdfrac%7B4%7D%7B6%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5Cy-%28-2%29%3D%5Cdfrac%7B2%7D%7B3%7D%28x-%28-5%29%29%5C%5C%5C%5C%5Cy%2B2%3D%5Cdfrac%7B2%7D%7B3%7D%28x%2B5%29%5Cto%20c.)
For the answer to the question above asking what is Richard’s monthly net income if <span>Richard receives a paycheck twice each month. Here’s a copy of one of his pay statements. If there are 2 paydays per month?
The answer for this is first solved for his Net Pay then you can multiply it by two so that you can get his monthly net income.</span>