Answer:
You need to answer 1000 questions first. I honestly think it's stupid.
Step-by-step explanation:
The standard form of an equation of a line would be written as Ax + By = C where A, B and C are numbers. To write the given equation to this form, we do as follows:
<span>(y = x/6 + 4) 6
6y = x + 24
-x + 6y = 24
Therefore, the correct answer from the choices listed above is option B.
Hope this helps. Have a nice day.</span>
Jake spent more on lunch. They left $3.74 as the tip.
bearing in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above?
![\bf 2x-4y+8=0\implies -4y=-2x-8\implies y = \cfrac{-2x-8}{-4} \\\\\\ y = \cfrac{-2x}{4}-\cfrac{8}{-4}\implies y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%202x-4y%2B8%3D0%5Cimplies%20-4y%3D-2x-8%5Cimplies%20y%20%3D%20%5Ccfrac%7B-2x-8%7D%7B-4%7D%20%5C%5C%5C%5C%5C%5C%20y%20%3D%20%5Ccfrac%7B-2x%7D%7B4%7D-%5Ccfrac%7B8%7D%7B-4%7D%5Cimplies%20y%20%3D%20%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B-%5Ccfrac%7B1%7D%7B2%7D%7Dx%2B2%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
so we're really looking for the equation of a line whose slope is 2 and runs through (2,-5),
Answer:
600 ml of pure water.
Step-by-step explanation:
To determine how much pure water the pharmacist should add to a 600ml solution with 30% active ingredient, so that this solution becomes 15%, the following calculation must be performed:
600 x 0.3 = 180
15 = 180
100 = X
100 x 180/15 = X
18,000 / 15 = X
1,200 = X
1,200 - 600 = 600
Thus, 600 ml of pure water should be added to achieve a 15% solution.
