Answer:
1.25
Step-by-step explanation:
original price + markup = retail
The markup = original * markup percentage
original + original * markup percent= retail
Factor out the original
original( 1+ markup percent) = retail
original ( 1 + 60%) = 2
Change to decimal form
original ( 1+ .60) = 2
original ( 1.60) = 2
Divide each side by 1.6
original = 2/1.6
original =1.25
Answer:
-3x+36
Step-by-step explanation:
the slope is -3, so just add an x.
the y intercept is 36
put them a together and you get -3x+36
3 4
3 4
3 4
3 4
Left side gets 12.
Right side gets 16.
12+16=28 in total.
When you're thinking of ratios, you have to think of rounds. Let's say I
want to distribute apples... In Round 1, I'm going to give myself 1
apple and give you 2 apples. After Round 1, three apples have been
distributed in total. Now, if I repeat the same pattern of distribution
1:2, after Round 2 I should have 2 apples whilst you have 4. After Round
2 a total of 6 apples would have been distributed.If the ratio is 3 to 4 - imagine there are 7 groups total, and one person gets 3 of the 7 and the other person gets 4 of the 7.
____________________________________________
If 28 is divided into 7 groups, each group has 4 cans.
One person gets 3 groups = 4*3 = 12 cans
The other gets 4 groups = 4*4* = 16 cans
This way is easier for me to do, but go with whatever works for you :)
at x = 1 we have one tangent line and at x = 5 we have just another tangent line.
so we have the slopes, but what about the coordinates?
well, for the first one we know x = 1 and we also know f(x), let's use f(1) to get "y", and likewise we'll do the for the second one.
![\stackrel{x=1}{f(1)}=3(1)^2-15(1)\implies f(1)=-12\qquad \qquad (\stackrel{x_1}{1}~~,~~\stackrel{y_1}{-12}) \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-12)}=\stackrel{m}{-9}(x-\stackrel{x_1}{1}) \\\\\\ y+12=-9x+9\implies y=-9x-3 \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cstackrel%7Bx%3D1%7D%7Bf%281%29%7D%3D3%281%29%5E2-15%281%29%5Cimplies%20f%281%29%3D-12%5Cqquad%20%5Cqquad%20%28%5Cstackrel%7Bx_1%7D%7B1%7D~~%2C~~%5Cstackrel%7By_1%7D%7B-12%7D%29%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%5Cstackrel%7By_1%7D%7B%28-12%29%7D%3D%5Cstackrel%7Bm%7D%7B-9%7D%28x-%5Cstackrel%7Bx_1%7D%7B1%7D%29%20%5C%5C%5C%5C%5C%5C%20y%2B12%3D-9x%2B9%5Cimplies%20y%3D-9x-3%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
