156) If x= 2in X A) P= 6.28 in B) P= 10.5 in C) P= 12.57 in D) P= 18.34 in​

Answer:

f¹(x) = x - 3

To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.

Rewrite the function f(x) = x + 3

as the equation y = x + 3

Trade x and y.

x = y + 3

Solve for the "new" y.

= y + 3

3 - 3

Subtract 3 from both sides

y = x= 3

The symbol for the inverse is f-¹(x)

f¹(x) = x - 3

Step-by-step explanation:

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[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]

Answer:

f^-1(x) = [ln (x + 4)]/2

Step-by-step explanation:

f(x) = e^(2x) - 4

y = e^(2x) - 4

x = e^(2y) - 4

x + 4 = e^(2y)

ln (x + 4) = ln (e^(2y))

ln (x + 4) = 2y

y = [ln (x + 4)]/2

f^-1(x) = [ln (x + 4)]/2

Answer:

-3 < x < 2

Step-by-step explanation:

-8 < 3x + 1 < 7

-8 < 3x + 1   ....... eqn 1

3x + 1 < 7  ...........eqn 2

-8 < 3x + 1

-8 - 1 < 3x

-9 < 3x

-9/3 < x

-3 < x

3x + 1 < 7  ...........eqn 2

3x < 7 - 1

3x < 6

x < 6/3

x < 2

= -3 < x < 2

Answer:

86 quarts

Step-by-step explanation:

If you took away 28 quarts and were left with 58 quarts then you add the two numbers to get 86 quarts which is what you started with.

Answer:

3.75

Step-by-step explanation:

trust me

Answer:

B I think.

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

The figure B is just one 90° rotation away from becoming A, i.e.,

If we rotate B 90° counterclockwise, we get A.

To obtain the same figure after rotating it (counterclockwise or clockwise), the minimum degrees required are 360

So, B becomes A after 90° of rotation, while A becomes A after 360° rotation (in the same direction)

That means,

[tex] \boxed{ \mathsf{Angle \: of \: rotation \: + 90 \: = \: 360}}[/tex]

(angle of rotation is the angle which A turns about in order to line itself with B)

_________________

That makes it 270°

Answer:

[tex]=\frac{34}{15}[/tex]

[tex]=2\frac{4}{15}[/tex]

Step-by-step explanation:

With unlike denominators find the Least Common Denominator (LCD)

LCD = 15

Multiplying numerators and denominators to get the LCD in all fraction denominators

[tex]=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}[/tex]

With like denominators we can operate on just the numerators

[tex]=\frac{14+8+12}{15}[/tex]

[tex]=\frac{34}{15}[/tex]

Simplifying the answer

[tex]=\frac{34}{15} \\=2\frac{4}{15}[/tex]

Answer:Jose will make 901.31 more

Step-by-step explana

Answer: The number of rooms that can be wire with available rolls is 6 rooms Given as The quantity of roll of electrical wire does

Step-by-step explanation:

Answer:

the answer is A

I followed the point slope formula and added in the x and y values

Answer:

none

Step-by-step explanation:

Answer:

4(-8x+5) - (-33x-26)

-32x+20+33x-26

collect like terms

-32x+33x+20-26

=x-6

Step-by-step explanation:

x-6

9514 1404 393

Answer:

  B = 5

Step-by-step explanation:

The given equation has mismatched parentheses. We assume the intent is ...

  2(b +3.5) -b = -3(6 -2b)

Eliminating parentheses, we have ...

  2b +7 -b = -18 +6b

  25 = 5b . . . . . . . . . . . add 18-b to both sides and collect terms

  b = 5 . . . . . . . . . . . . divide both sides by 5

Answer:

Step-by-step explanation:

1 3/10 x 18

(1 x 10 +3)/10 = 13/10

13/10 x 18 = (13 x 18) / 10 = 234/10 = (234/2) / (10/2) = 117/5 = 23 2/5 (a fraction is a division)

The answer to the expression showing the product of 1 3/10 x 18 is 23 2/5.

Given is an expression showing the product of 1 3/10 x 18, we need to solve it,

To multiply a mixed number by a whole number, you can convert the mixed number to an improper fraction and then multiply the fractions.

Here's how you can solve the problem:

Step 1: Convert the mixed number to an improper fraction:

1 3/10 = (1 × 10 + 3) / 10 = 13/10

Step 2: Multiply the fractions:

13/10 x 18/1 = (13 x 18) / (10 x 1) = 234 / 10

Step 3: Simplify the fraction, if possible:

234/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

234/10 = (234 ÷ 2) / (10 ÷ 2) = 117/5

Therefore, 1 3/10 x 18 = 117/5.

Alternatively, you can express the answer as a mixed number by dividing the numerator by the denominator:

117 ÷ 5 = 23 with a remainder of 2

So, the final answer is 23 2/5.

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Answer: -4, -3, 0, 2

Step-by-step explanation:

Answer:

-4,-3,0,2

Step-by-step explanation:

Decimals that are higher is the less than the smallest

Answer:

67.72

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The area of a Trapezium is

(a+b)/2 * h where

a = top

b= bottom

h- height, distance between the two parallel sides (ie the top and bottom)

135 = (19.8+7.2)/2 *h

135=13.5h

h= 10

Answer:

100º

Step-by-step explanation:

Cooresponding angles are congruent

11x + 1 = 10x + 10

Subtract 10x from both sides

x + 1 = 10

subtract 1 from both sides

x = 9

θ = 11x + 1

θ = 11(9) + 1

θ = 99 + 1

θ = 100º

Answer:

you're correct

Answer:

yes...

Step-by-step explanation:

k

Answer:

You have a photo to show the work?

Step-by-step explanation:

Answer:

25π or 78.5

Step-by-step explanation:

Area of circle = π[tex]r^{2}[/tex]

r = 5

A = π * 5^2

= 25π

= 78.5

Answer:

ninth grade teacher is going   skipping 30  to each class

Step-by-step explanation:

The payback period of the investment is 6.6 years.

The net present value is $7,797.22.

The payback period calculates the amount of time it takes to recover the amount invested from the cumulative cashflows.

Payback period = Amount invested / cost saving

$55,440 / $8,400 = 6.6 years

Net present value is the present value of after-tax cash flows from an investment less the amount invested.  

NPV can be determined using a financial calculator

Cash flow in year 0 = $-55440

Cash flow in year 1 to 7 = $8,400

Cash flow in year 8 = $8400 + $27,700

I = 8%

NPV = $7,797.22

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b bcause i knew it and i mean i have a 5.0 gpa

Step-by-step explanation:

4w(-6w)

= (4*6)(w.-w)

= 24 * -w²

= -24w²

Answer:

Easy

Step-by-step explanation:

Answer: 36,000 divided by 90 is 400

Answer:

400

Step-by-step explanation:

Answer:

80 glasses

Step-by-step explanation:

640/8 = 80

Answer: 80 glasses

There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A large drink dispenser used at a school field day holds 640 ounces of lemonade.

Now,

Find the number of glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces as;

= 640 ÷ 8

= 80

Thus, There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.

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