Three integers have a mean of 9, a median of 12 and a range of 13.

Find the three integers.

Inverse of the given function F(x) = ( x + 3 )² + 1 is F⁻¹(x) = [√( x - 1 ) ] - 3

Given is a function of x, F(x) = ( x + 3 )² + 1

These question can be solved by following 4 easy steps

Step 1 : Switch the F(x) with the variable y

This implies, F(x) = ( x + 3 )² + 1 becomes y =  ( x + 3 )² + 1

Step 2 : Interchange the variable x and y in the above obtained equation

This implies, from the equation y = 3 x³- 4, we get

x =  ( y + 3 )² + 1

Step 3 : Solve the new obtained equation for y

This implies, we have to simplify the equation by rearranging the terms to get the equation in terms of the variable x.

x = ( y + 3 )² + 1

=> x + 1 =   (y + 3 )²

=> (y + 3 )² = x + 1

=> y = √( x - 1 )  - 3

Hence we obtain the required equation.

Step 4 : Switch the variable y with F⁻¹(x)

This implies, y =√( x - 1 ) - 3 becomes F⁻¹(x) = √( x - 1 )  - 3

Therefore, we get the inverse of the given function F(x) = ( x + 3 )² + 1 as F⁻¹(x) = √( x - 1 )  - 3

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The equation only has real solutions, x = 2/√5  and x = –2/√5

Let p = x².

Then we can write 25 x⁴-40 x²+16 = 0 as:

25 p²- 40 p +16 = 0

This is a quadratic equation.

There are three ways to find the solutions of a quadratic equation:

Let us factoring method.

25 p²- 40 p +16 = 0

(5p - 4)(5p - 4) = 0

Hence 25 p²- 40 p +16 = 0 only has single real solution:

5p - 4 = 0

5p = 4

p = 4/5

Substitute p = 4/5 into p = x², we get:

x² = 4/5

x = ± √(4/5)

The solutions are x = 2/√5  and x = –2/√5

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Answer:

50 degrees

Step-by-step explanation:

let's take the triangle to be right angled at b

so b=90                           1                

and c=40 (assumption)   2

so a+b+c=180(angle sum property)

from 1 and 2

a+90+40=180

a=180-130

therefore a=50

Answer:

50

Step-by-step explanation:

90= right side

40= acute side

180 - (90+ 40)= 50.

Step-by-step explanation:

Y should have a negative side in front of it.

[tex]2x - y = 5 \\ - y = - 2x + 5 \\ y = 2x - 5[/tex]

Based on the information, the percentage increase for the area s greater as it is 600% greater

Here, we have a square of side length 3 cm

The area of the square is 3² = 9 cm²

Perimeter of the square = 4L = 4 * 3 = 12 cm

When we triple the length of the square, its new length becomes 3 ,× 3 = 9 cm

Area here will be 9 * 9 = 81 cm²

Perimeter = 4 L = 4 * 9 = 36cm

To calculate percentage change, we use the formula;

(new value - old value)/old value * 100%

For the perimeter;

(36-12)/12 * 100% = 24/12 * 100% = 2 * 100% = 200%

For the area;

(81-9)/9 * 100% = 72/9 * 100% = 8 * 100% = 800%

The percentage increase of the area is greater by: 800% - 200% = 600%

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The side length of the square shown is tripled.

3 cm

Which percent of increase is greater the percent of increase for the perimeter of the square or the percent of increase for the area

The required statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt is earns 2 free ounces.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

The horizontal axis shows ounces of yogurt purchased, numbered 2 to 22, and the vertical axis shows Total Spent (dollars) numbered 1 to 11.\

A line begins at 0, extends to 5 dollars spent at 10 to 12 ounces, and ends at 9 dollars spent at 20 ounces.

According to given question we have

In the analysis of the given options, the most likely answer to this question is A rewards customer earns 2 free ounces of yogurt because total amount paid for 10 ounces and 12 ounces is the same.

Also 9 dollars spent at 20 ounces.

Therefore, the required statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt is earns 2 free ounces.

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Answer:

A

Step-by-step explanation:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

The formula A = 1/2bh in terms of A and h is b = 2A/h and the measure of the base length is 34 feet.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

The formula A = 1/2bh

It is required to solve for b:

2A = bh

b = 2A/h

Plug A = 952 square feet

h = 56 feet

b = 2(952)/56

b = 34 feet

Thus, the formula A = 1/2bh in terms of A and h is b = 2A/h and the measure of the base length is 34 feet.

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Answer:

1/8

Step-by-step explanation:

144 ÷ 18 = 8

so, it 1/8

Answer:

No solution

Step-by-step explanation:

-8l2x -5l =16  When I divide both sides by -8

l2x - 5l = -2

The absolute value cannot equal a negative number.

The relation (x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)} is a function

The relation is given as

(x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)}

As a general rule:

A relation that is considered to be a function is any relation whereby the elements of the domain has exactly one element of the range.

This means that an x value must have exactly one y value

Using the above as a guide, we can conclude that the relation (x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)} is a function

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Possible question

Determine whether the relation is a function. Explain.

(x, y) = {(-4, -1), (-2, 4), (0, -1), (2, 1), (4, 4)}

The rate at which the temperature of the compound rose is 2 degree per hour.

To figure this problem we will use unitary method where unitary method is a method where we find the value of the single unit and then multiply the value of single unit to the number of units to get the necessary value.

But according to the question we have find the value of only single unit.

Therefore we have been given that

     every [tex]1\frac{3}{4}[/tex] hours = temperature of compound rose [tex]3\frac{1}{2}[/tex] degrees

Now applying unitary method we get,

         [tex]1\frac{3}{4} = 3\frac{1}{2} \\\\ \frac{7}{4} = \frac{7}{2} \\\\ 1 = \frac{7}{2} /\frac{7}{4}[/tex]

            = 2 degrees per hour

Hence the rate that the temperature of the compound rose is 2 degree per hour.

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The base lengths are (2x + 3) and (x - 4) meters if the area of the base of the statue is 4x² + 12x + 9.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that:

The quadratic polynomial is:

= 4x² + 12x + 9

After using factor method:

= 2x² - 4x + 3x - 12

= 2x(x + 4) + 3(x - 4)

= (2x + 3)(x - 4)

Thus, the base lengths are (2x + 3) and (x - 4) meters if the area of the base of the statue is 4x² + 12x + 9.

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Step-by-Step:

___________

1. We are given the following:

[tex]4 < -9.9-(-10x+1)[/tex]

This being said, the first thing we need to do is switch sides, writing it as follows:

[tex]-9.9-(-10x+1) > 4[/tex]

___________

2. Next, we need to add 9.9 to both sides of the equation.

[tex]-9.9-(-10x+1)+9.9 > 4+9.9[/tex]

___________

3. Then, we simplify.

[tex]-(-10x+1) > 13.9[/tex]

____________

4. Now, we add 1 to both sides of the equation.

[tex]10x-1+1 > 13.9+1[/tex]

____________

5. We simplify again.

[tex]10x > 14.9[/tex]

____________

6. Next, we divide both sides by 10.

[tex]\frac{10x}{10} > \frac{14.9}{10}[/tex]

____________

7. Finally, simplify one more time.

[tex]x > 1.49[/tex]

Hence, out solution is [tex]x > 1.49[/tex]

Hope this helps!

The expression is simplified to  -5. 05u - 6

An algebraic expression can be defined as a mathematical expression made up variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

From the information given, we have the expression;

(3.65u − 11) − (−5 + 8.7u)

Now, expand the bracket, we get;

3. 65u - 11 + 5 - 8. 7u

collect like terms

3. 65u - 8. 7u - 11 + 5

Add/substract the values

-5. 05u - 6

Hence, the expression is -5. 05u - 6

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According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = [tex]\frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}[/tex]

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = [tex]\frac{-4}{(x+3)}[/tex]

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is [tex]\frac{-4}{(x+3)}[/tex]

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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The correct option is (x²- 2x + 4) for the quotient.

For the given question;

The equations are given as;

(x³ + 8) = (x + 2)

For finding the quotient; this could be written as,

(x³ + 8)/ (x + 2) = 1

Thus, we have

= (x³ + 8)/ (x + 2)

Rewriting the equation as;

=  (x³ + 2³)/ (x + 2)

Apply the formula of (a³ + b³) = (a+b)(a² - ab + b²) at the numerator;

= (x + 2)(x² -2x + 4)/  (x + 2)

Cancel the value of (x+ 2)

= (x² -2x + 4)

Thus, the quotient of the division is obtained as (x² -2x + 4).

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Answer:

units 6.0 I think good luck brother

Answer:

18.84 inches

Step-by-step explanation:

Use the formula.

2πr

Use 3.14 for π.

Use 3 for r.

2(3.14)(3)

Multiply.

2(3.14)(3)=18.84

Hope this helps!

Please mark as brainliest if correct!

Answer: C. 36,000

Step-by-step explanation:

Answer:

Your answer should be about 36,000

Step-by-step explanation:

You can kind of already eliminate A. the real answer should be around 34 to 35 thousan and it is the nearest to the options that you have

hope this helps

Integers are positive and negative whole number digits, where the set of integers is denoted by capital Z.

Z={-n,...,-2,-1,0,1,2,...,36,37,38,39,...,n}

So 37 is in between 36 and 38

The answer to the question is T= - 7.5°C - 8.5°C = -16°C

The initial temperature in the late afternoon was -7.5°C.

It  dropped by 8.5 degrees by midnight.

Change in temperature (in midnight) = -8.5°

Here negative sign represents the decrease in the temperature

.Let T be the total change in the temperature.

So, total change in the temperature is T =  - 8.5°C 

Therefore the required temperature in the midnight =temperature in late afternoon+the temperature dropped in night.

Final temperature at night =-7.5°C-8.5°C=-16°C

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do 7 x for and you will not have any changes to your memories of your own and the fact of life that I am sure

The solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x  < 8

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

The expression is given as

22 >= -3x + 7 and -3x + 7 >-17

The above expression is an inequality expression

As a general rule:

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

So, we have

22 >= -3x + 7 and -3x + 7 >-17

Evaluate the like terms

15 >= -3x  and -3x  >-24

Divide through by -3

So, we have

-5 <= x  and x  < 8

Combine the expressions

-5 <= x < 8

Hence, the solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x  < 8

See attachment for the number line

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Answer:

1. E K H and F K G

2. E K F and H K G

3. E K F or G K H

4. F K G and G K J

5. G K J

Step-by-step explanation:

Based on the number of birdhouses that Felipe has to build in the holiday season, the meters of wood that Felipe needs would be 23 ⁵/₈ meters

First, find out the number of birdhouses Felipe needs to make:

= Normal number of birdhouses x Increase in holiday season

= 12 x 4¹/₂

= 54 birdhouses

The meters of wood he needs are:

= Number of birdhouses to be made / Number of bird houses he usually makes x Meters of wood needed for birdhouses Felipe usually makes

= 54 / 12 x 5¹/₄

= 23 ⁵/₈ meters

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Answer:4/ 1/5=20 or 4/.20=20

Step-by-step explanation: brainliest?

Answer:

In the image above

Step-by-step explanation:

Vertical line: A vertical line is a collection of points whose x -coordinate is the same for any y -coordinate. The equation of a vertical line is given by: x=c where c is a real number.

Check the picture below.