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9514 1404 393

Answer:

  1. f^-1(x) = 4/(x+2) -2

  2. f^-1(x) = (-(x+3)/2)^(1/5)

Step-by-step explanation:

1. As with all "inverse function" problems, solve for y:

  x = f(y)

  x +2 = 4/(y +2) . . . . add 2

  y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)

  y = 4/(x+2) -2 . . . . . subtract 2

We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.

  f^-1(x) = 4/(x+2) -2

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2. x = f(y)

  x +3 = -2y^5 . . . . add 3

  -(x +3)/2 = y^5 . . . . . divide by 2

  (-(x +3)/2)^(1/5) = y . . . . take the 5th root

  f^-1(x) = (-(x +3)/2)^(1/5)

In typeset form, that is ...

  [tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]

This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.

_____

The graphs show the function and inverse are symmetrical about the line y=x, as they should be.

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yo diría que Messi

9514 1404 393

Answer:

  97 cm

Step-by-step explanation:

The perimeter is the sum of the side lengths. Starting from the upper left corner and working clockwise, the side lengths are ...

  10 +3 +33 +15 +33 +3 = 25+2(36) = 97 . . . cm

The perimeter of the figure is 97 cm.

Answer:

[tex] \displaystyle T'( 2,4)[/tex]

[tex] \displaystyle U'( 1,1)[/tex]

[tex] \displaystyle S' ( 3,2)[/tex]

Step-by-step explanation:

we current vertices of the given triangle

remember that,

[tex] \rm\displaystyle(x,y) \xrightarrow{ \rm reflection \: over \: y - axis}( - x,y)[/tex]

so we obtain:

[tex] \rm\displaystyle \: T( - 2,4) \xrightarrow{ \rm reflection \: over \: y - axis}T'( 2,4)[/tex]

[tex] \rm\displaystyle \: U( - 1,1) \xrightarrow{ \rm reflection \: over \: y - axis}U' ( 1,1)[/tex]

[tex] \rm\displaystyle S( - 3,2) \xrightarrow{ \rm reflection \: over \: y - axis}S'( 3,2)[/tex]

Answer:

Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6

Answer:

c. The distribution of polyunsaturated fat percentages for each of the four regimes must be normal with equal variance's.

Step-by-step explanation:

Single factor ANOVA is used for testing the null hypothesis with same mean of several population. The alternative hypothesis is set against the null hypothesis in order to identify whether the null statement is correct or it will be rejected.

Answer:

The dimension of the room is 8m by 3m

The length and width of the rectangle are 8 meters and 2 meters.

Given,

A rectangular room is 5 meters longer than it is wide.

Perimeter = 22 meters.

We need to find the dimension of the room.

A rectangle perimeter is given by :

P = 2 ( length + wide )

Find the length and width of the rectangle.

Let width = W

Let length = L

L = W + 5

Find the perimeter of the rectangle.

P = 2 ( L + W )

P = 22

22 = 2 ( W + 5 + W )

Divide both sides by 2.

11 = W + 5 + W

11 = 2W + 5

Subtract 5 on both sides.

11 - 5 = 2W + 5 - 5

6 =  2W

Divide both sides by 2.

3 = W

W = 3

We see that W = 2 and L = W + 5 = 3 + 5 = 8.

Thus the length and width of the rectangle are 8 meters and 2 meters.

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Answer:

The missing number is 21

Step-by-step explanation:

-12 + x = 9

x = 9 + 12

x = 21

Answer:

21

Step-by-step explanation:

let X = ( )

-12 + X = 9

X = 9 + 12

X = 21

Answer:

1 : 6

Step-by-step explanation:

Answer: b = 2A - B

Step-by-step explanation:

2. A = 2 . 1/2 . h (B + b)

2A = h (B+b)

2A/= h/h . (B+b)

2A/h = B+b

2A - B = B - +b

b = 2A - B

Answer:

the correct answer is 13

Answer:

13.

Step-by-step explanation:

Answer:

It is assumed we need to find the volume and total surface area

Volume is:

Total surface area is:

Answer:

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Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

a=(0,10)×2, b =(8,6)×2 c=(4,2)×2

Answer:

I think the answer is she

9514 1404 393

Answer:

Step-by-step explanation:

We can let x and y represent the amounts invested in the stock and mutual fund, respectively. Then the amount invested in the money market account was (468000 -x -y). Two relations can be written.

  x = y + 10000 . . . . . 10,000 more was invested in stock than in mutual funds

  0.035(468000-x-y) +0.04(x) -0.03(y) = 2720 . . . . first-year return

Collecting terms in the second equation gives ...

  0.005x -0.065y +16380 = 2720

  -x + 13y = 2732000 . . . . . . subtract 16380, multiply by -200

  12y -10000 = 2732000 . . . . substitute for x using the first equation

  y = 2742000/12 = 228,500 . . . . solve for y

  x = 228,500 +10,000 = 238,500 . . . . . find x from the first equation

  468,000 -x -y = 468,000 -467,000 = 1,000 . . . . find the money market amount

__

Pierre invested $1000 in the money market account, $238,500 in the stock, and $228,500 in the mutual fund.

Answer:

two digits to the right

Step-by-step explanation:

When multiplying a decimal by 102 you would need to move the decimal point two digits to the right. This is because we are multiplying by a hundred number. When multiplying any whole positive number by a decimal, we need to move the decimal point to the right one less than the amount of digits that the positive whole number has. For example, a thousand (1000) has 4 digits so we move the decimal point of the product to the right by 3.

Examples:

102 * 0.02 = 2.04

1000 * 0.02 = 20

10000 * 0.02 = 200

Answer:

Rise=2 Run=1 type of slope is positive slope is 2 y int is 1 and the equation is y=2x+1

Step-by-step explanation:

1. First you need slope, slope is y1-x1/x2-y2 so then you get 4/2 which is 2, we also know rise/run so rise is 2

2. 2/1 so run is 1

3. its positive since slope is positve

4.  y int is when x is 0 and y has value so y int is 1

5.  y=2x+1 since slope and y int  

:D

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Base perimeter = 2 x 2 x π = 4π in

LA = 4π x 5 = 20π in^2

Base area = 2^2 x π = 4π in^2

SA = 2 x 4π + 20π = 28π in^2

V = 4π x 5 = 20π in^3

Answer:

Step-by-step explanation:

B

Answer:

y = sin(x + 90°)

Step-by-step explanation:

cos 0 = 1

Since the point (0, 1) is on the graph, this graph is y = cos x, but that is not a choice, so this must be the graph of the sine function with a horizontal translation.

sin 0 = 0

sin 90° = 1

The translation is 90°.

Answer: y = sin(x + 90°)

Answer:

2&7

6&3

Definition:

angles located at opposite positions between the two lines that are intersected by a transversal.

Step-by-step explanation:

The coordinates of point A are (2, 0, 5).

Then the correct option is the fourth one.

The general notation for a point on 3 dimensions is (x, y, z).

First, notice that the vertical axis is the Z-axis, the axis that points towards us is the x-axis, the axis that points to the right is the y-axis.

First, we can see that the x-value of A is x = 2.

The z-value of A is z = 5.

And A lies on the plane x_z, then the y-value is y = 0.

Then the coordinates of point A are (2, 0, 5).

So the correct option is 4.

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Subtract to find the number of gallons used:

48,555 - 45621 = 2,934 gallons.

Multiply gallons used by price per gallon:

2,934 x 0.12 = $352.08

Answer:

562.23

Step-by-step explanation:

Answer:

b) 13.5

Step-by-step explanation:

Use the trapezoid formula - area.

A = a+b /2 h

=> 4+5/2 · 3 = 13.5

hope this helps and is right :)