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V125BC [204]
3 years ago
15

1. Find the inverse of the one-to-one function f(x)= 6x-7 / 5

Mathematics
1 answer:
Elenna [48]3 years ago
4 0
Rewrite it as y=6x-7/5

Flip the x and y
x=6y-7/5

Solve
5x=6y-7
5x+7=6y
5/6x+7/6=y

f^-1(x)=5/6x+7/6
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Step-by-step explanation:

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4 0
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6 0
3 years ago
Mark buys Apple stock for $100 and its value increases by a factor of 1.5 each week. Which equation represents the relationship
Bingel [31]

Given:

Initial value of the stock = $100

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The equation that represents the relationship between the number of weeks past since purchase and the current value of the stock.

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The exponential growth model is:

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3 0
3 years ago
Line A passes through the points (-8, 5) and (-5, 4). Line B passes through the points (0, 1) and (4, -1). Which of the followin
horrorfan [7]

\stackrel{\textit{\LARGE Line A}}{(\stackrel{x_1}{-8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{4})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-8)}}} \implies \cfrac{4 -5}{-5 +8}\implies -\cfrac{1}{3} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{\LARGE Line B}}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{0}}} \implies \cfrac{-1 -1}{4 +0}\implies -\cfrac{1}{2}

keeping in mind that perpendicular lines have negative reciprocal slopes, and that parallel lines have equal slopes, well, those two slopes above aren't either, so since they're neither, and they're different, that means that lines A and B intersect.

8 0
2 years ago
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Sholpan [36]
5 -78 is equal to (-73)
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