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borishaifa [10]
3 years ago
12

Help me please thx so much have a good one

Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0

Answer: y=1/2x-17

Step-by-step explanation:

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PLSSS ANSWER!!!<br>tnk u!!!​
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Find the inverse of the function. Show work. <br> g(x)= - 3/x-2 +2
4vir4ik [10]

Answer:

\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}

Step-by-step explanation:

We are given the function:

\displaystyle g(x)=-\frac{3}{x-2}+2

Let's find the inverse of g.

Call y=g(x):

\displaystyle y=-\frac{3}{x-2}+2

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

y(x-2)=-3+2(x-2)

Operate:

yx-2y=-3+2x-4

Collect the x's to the left side and the rest to the right side of the equation:

yx-2x=-3-4+2y

Factor the left side and operate on the right side:

x(y-2)=-7+2y

Solve for x:

\displaystyle x=\frac{-7+2y}{y-2}

Interchange variables:

\displaystyle y=\frac{-7+2x}{x-2}

Call y as the inverse function:

\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}

5 0
3 years ago
1 point
stepan [7]

Answer:

y = 250x

Step-by-step explanation:

<em>The options are not given; however, the question can still be answered.</em>

Given

Direct Proportion:

In 20 minutes, y = 250 bottles

Required

Determine the graph

<em>In the first 20 minutes, y = 250</em>

<em>In the next 20 minutes, y = 250 + 250 = 500</em>

<em>In the next 20 minutes, y = 500 + 250 = 750</em>

<em />

This gives a arithmetic sequence:

250, 500, 750, ........

Next, is to determine the equation of the sequence using;

T_n = a + (n - 1)d

In this case;

T_n = y

x = n

a = 250

d = 750 - 500 = 500 - 250 = 250

Substitute these values in the above formula;

y = 250 + (x - 1) * 250

Open Bracket

y = 250 + 250x - 250

Collect Like Terms

y = 250x + 250 - 250

y = 250x

Hence; the graph that shows the given description is the graph with equation y = 250x

4 0
3 years ago
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