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Sedaia [141]
3 years ago
8

Which method is used in elimination to find the solutions of x + 3y = 9 and x - 3y = 8?

Mathematics
1 answer:
weqwewe [10]3 years ago
4 0

Answer:

x=17/2  y=1/6

Step-by-step explanation:

-1(x+3y=9)

1(x-3y=8)

_________

-x-3y=-9

x-3y=8

________

-6y/6=-1/6   y=1/6

x+3(1/6)=9

x+ 1/2=9

   - 1/2  - 1/2

x=17/2

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Please help. 24 points!!
Lina20 [59]

The given function is,

f(x)= \frac{2x-1}{x+5}.

Or, y= \frac{2x-1}{x+5}

To find the inverse of a function, first step is to switch x and y. Therefore,

x= \frac{2y-1}{y+5}

Next stpe is to solve the above equation for y t get the inverse f f(x). Hence, multiply each sides by y + 5 to get rid of fraction form. So,

x*(y+5)= \frac{2y-1}{y+5}*(y+5)

xy + 5x = 2y - 1

xy = 2y - 1 - 5x Subtract 5x from each sides to isolate y.

xy - 2y = -5x - 1 Subtract 2y from each sides.

y(x - 2) = -5x -1 Take out the common factor y.

\frac{y(x-2)}{(x-2)} =\frac{(-5x-1)}{(x-2)} Divide each sides by x-2.

y=\frac{(-5x-1)}{(x-2)}

So, f^-1(x)=\frac{-5x-1}{x-2}

Now when we will compare f^-1(x)=\frac{-5x-1}{x-2} with f^-1(x)=\frac{ax+b}{cx+d} then we will get a = -5, b = -1, c = 1 and d=-2

So, \frac{a}{c} =\frac{-5}{1} =-5

Hope this helps you!

6 0
3 years ago
Find the product.<br><br> y4 · y6
Vanyuwa [196]

Answer:

y^{10}

Step-by-step explanation:

I am assuming that you mean y^4*y^6.

y^4*y^6\\\text {Apply the product rule: } a^n*a^m =a^{n+m}\\4 + 6 = 10\\\text {Therefore,}\\\boxed {y^4*y^6 = y^{10}}

<em>Brainilest Appreciated.</em>

4 0
3 years ago
Read 2 more answers
PLEASE HELP<br> IM STUCK
viktelen [127]

Answer:

y=-1/4x-6

It crosses the y axis at -6 and has a slope of 1/4

5 0
3 years ago
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In the picture below and show steps or explain
telo118 [61]

An operation that is done to a value and it stays the same, it is called the "identity property".

Some quick examples:

Adding any number with zero will result in the same number.

Multiplying any number with one will result in the same number.

Hope this helps!

3 0
2 years ago
The mean length of 7 planks of wood is 1.35m. When an extra plank of wood is added, the mean length of a plank of wood increase
azamat

Answer: Hello There!................

Mean = Sum of observation / total number of observation

Mean = 1.35m

1.35  = Sum of length of 7 wood planks/ 7

1.35*7 = Sum of the length of 7 wood planks

9.45 = Sum of the length of 7 wood planks

Let the length of extra added wood plank = x

So,

(Sum of the length of 7 wood planks + x) / 8 = 1.4m

(9.45 + x) / 8 = 1.4

9.45 + x = 1.4 * 8

9.45 + x = 11.2

x = 11.2- 9.45

= 1.75

So,

The length of extra added wood plank = 1.75m

Step-by-step explanation:

Mark me brainest please. Hope this helps. Anna ♥

6 0
2 years ago
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