To attempt this algebraic equation we will be multiplying 4 to (3 - x) bracket so as to form the term on L.H.S.
![:\implies\tt{4(3 - x) = (1 - 2x)}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%7B4%283%20-%20x%29%20%3D%20%281%20-%202x%29%7D)
![:\implies\tt{(12 - 4x) = (1 - 2x)}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%7B%2812%20-%204x%29%20%3D%20%281%20-%202x%29%7D)
![:\implies\tt{12 - 4x = 1 - 2x}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%7B12%20-%204x%20%3D%201%20-%202x%7D)
Combining like terms, we get,
![:\implies\tt{12 - 1 = - 2x + 4x}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%7B12%20-%201%20%3D%20%20-%202x%20%2B%204x%7D)
![:\implies\tt{11 = 2x}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%7B11%20%3D%202x%7D)
![:\implies\tt{2x = 11}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%7B2x%20%3D%2011%7D)
![:\implies\tt{x = \frac{11}{2} }](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%7Bx%20%3D%20%20%5Cfrac%7B11%7D%7B2%7D%20%7D)
![:\implies\tt{x = 5.5}](https://tex.z-dn.net/?f=%3A%5Cimplies%5Ctt%7Bx%20%3D%205.5%7D)
Yes . When you do the line test you go straight done and it doesn’t have 2 points on the same line .
<span>In order to determine the total number of errors that were made by the bar code scanner, we first have to calculate how many total scans were made. Because there were six items scanned 1,000 times each, there were 6,000 total scans made. Next, we have to add up the total number of errors made by each item (36+14+21+39+11+2). As a result, there were a total of 123 errors made during the 6,000 scans.</span>
Alright, the first thing we should have to do is find the total cost per year of his insurance. To do that, we multiply $96.21 by the 12 months in a year to get $1154.52. This is the cost of his insurance per year.
Next, we need to find out how much his boss covers, which we know is 85% of the total cost. SO what we can do is multiply the yearly cost ($1154.52) by the percent his boss covers (.85) to get $981.342. This is how much his boss covers per year.
Lastly, to find out how much Derek pays for insurance yearly, we just need to subtract how much his boss pays ($981.342) from the total yearly cost ($1154.52), which leaves us with $173.178, which is how much Derek pays yearly for his insurance, which should be your answer.
Answer:
12
Step-by-step explanation:
![We\ know\ that\ distance\ between\ two\ points\ on\ a\ graph\ is\ given\ by\\\\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Here,\\x_1=0\\x_2=1\\y_1=-5\\y_2=7\\Substituting\ them\ in\ our\ formula,\ we\ get:\\\sqrt{(1-0)^2+(7-(-5))^2}\\=\sqrt{1+(7+5)^2} \\=\sqrt{1+144}\\=\sqrt{145}\\=12.04\\Hence\ it\ rounds\ off\ to\ 12.\\](https://tex.z-dn.net/?f=We%5C%20know%5C%20that%5C%20distance%5C%20between%5C%20two%5C%20points%5C%20on%5C%20a%5C%20graph%5C%20is%5C%20given%5C%20by%5C%5C%5C%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%20%5C%5CHere%2C%5C%5Cx_1%3D0%5C%5Cx_2%3D1%5C%5Cy_1%3D-5%5C%5Cy_2%3D7%5C%5CSubstituting%5C%20them%5C%20in%5C%20our%5C%20formula%2C%5C%20we%5C%20get%3A%5C%5C%5Csqrt%7B%281-0%29%5E2%2B%287-%28-5%29%29%5E2%7D%5C%5C%3D%5Csqrt%7B1%2B%287%2B5%29%5E2%7D%20%5C%5C%3D%5Csqrt%7B1%2B144%7D%5C%5C%3D%5Csqrt%7B145%7D%5C%5C%3D12.04%5C%5CHence%5C%20it%5C%20rounds%5C%20off%5C%20to%5C%2012.%5C%5C)