Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point
![|x|=x\,\,\mbox{for}\,\,x\geq 0\\|x|=-x\,\,\mbox{for}\,\,x](https://tex.z-dn.net/?f=%7Cx%7C%3Dx%5C%2C%5C%2C%5Cmbox%7Bfor%7D%5C%2C%5C%2Cx%5Cgeq%200%5C%5C%7Cx%7C%3D-x%5C%2C%5C%2C%5Cmbox%7Bfor%7D%5C%2C%5C%2Cx%3C0)
To solve the equation, you need to treat the two cases as above:
![|x+4|=x+4=2\,\,\,\mbox{for}\,\,x+4\geq 0\implies x\geq -4\\x+4=2\implies x=-2](https://tex.z-dn.net/?f=%7Cx%2B4%7C%3Dx%2B4%3D2%5C%2C%5C%2C%5C%2C%5Cmbox%7Bfor%7D%5C%2C%5C%2Cx%2B4%5Cgeq%200%5Cimplies%20x%5Cgeq%20-4%5C%5Cx%2B4%3D2%5Cimplies%20x%3D-2)
The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:
![|x+4|=-(x+4)=2\,\,\,\mbox{for}\,\,x+4< 0\implies x](https://tex.z-dn.net/?f=%7Cx%2B4%7C%3D-%28x%2B4%29%3D2%5C%2C%5C%2C%5C%2C%5Cmbox%7Bfor%7D%5C%2C%5C%2Cx%2B4%3C%200%5Cimplies%20x%3C-4%5C%5C-%28x%2B4%29%3D-x-4%3D2%5Cimplies%20x%20%3D%20-6)
Again, the second solution -6 complies with the requirement that x<-4, so it is valid.
Answer:
$16
Step-by-step explanation:
Looking at the Price for 5 Items (10 dollars), That means the Price Per Item Is 2 dollars. Now we know the Cost per Item, We need to multiply the Cost per item by 8 (2*8) making it 16.
<span>f x=0 ==>x^4+400=0+400=400</span>
Answer:
no.
Step-by-step explanation:
It is -3 degrees Celsius per 1 hour. <span />