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adoni [48]
3 years ago
10

Write the correct order of letters to the finish line Example ABCGH​

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0
ABCDEFGHIJKLMNOPQRSTUVWXYZ?
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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
® Incorrect<br> Which would show that FGHI is a parallelogram? Select all that apply.
Tatiana [17]

Answer:

FGHI is a Parallelogram

8 0
2 years ago
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
2 years ago
A man earns $3580 per month and spend 65% of it. How much does he save every month?
Sloan [31]

Answer:

23000 dollars

Step-by-step explanation: because 3580 is about i dont even know scrub

4 0
3 years ago
If a ∝ b and a = 18 when b = 3, then find a when b = 5.
Elden [556K]

"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that

a = kb

We're given that a = 18 and b = 3, so that

18 = 3k   ⇒   k = 6

Then when b = 5, we would have

a = 6 × 5 = 30

4 0
2 years ago
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