Please help me with this

The inverse of the function f(x) and its domain include the following: D. f⁻¹(x) = (x + 4)²; x ≥ 0.

In Mathematics, an inverse function simply refers to any type of function that is typically generated by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = √x - 4

y = √x - 4

x = √y - 4

√y = x + 4

Taking the square of both sides of this inverse function, we have:

f⁻¹(x) = (x + 4)²

For the domain of this function, we have:

f(x) = √x - 4

When x= 0, we have:

f(0) = √0 - 4

f(0) = 0.

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In class 9, the midpoint formula is a mathematical formula used to find the midpoint of a line segment given the coordinates of its two endpoints. The midpoint formula is:

(x, y) = ( (x1 + x2) / 2, (y1 + y2) / 2)

Where (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment, and (x, y) are the coordinates of the midpoint.

For example, if the coordinates of the two endpoints of a line segment are (3, 4) and (7, 10), you can use the midpoint formula to find the coordinates of the midpoint:

(x, y) = ( (3 + 7) / 2, (4 + 10) / 2)

(x, y) = (5, 7)

So the midpoint of the line segment with endpoints (3, 4) and (7, 10) is (5, 7)

The midpoint formula is used in class 9 to find the midpoint of a line segment in coordinate geometry. It's a simple way to find the point which is exactly in the middle of two given points. It can be used to find the center of a circle if we know the coordinates of two points on the circumference.

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The correct option is A.

The linear equation y = 2x + 1 is shown in Graph A.

The equation of a straight line's shape with slope and y-intercept is as follows:

y = mx + b

where

y is equal to a point's y-coordinate on a line.

m is the line's slope.

The point on the line whose y-coordinate is y has the x-coordinate of x.

B is the line's y-intercept, or b.

As opposed to y = mx + b, y = 2x + 1

As we can see, the

m = 2 slope

b = 1 as the y-intercept

The graph that crosses the y-axis at the point where y = 1 is only option A, as shown by the intercept value.

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Note the correct question would be as bellow,

Which graph shows the linear equation y = 2x + 1

The angle made by the slide of length 14.5 ft with the ground is 36°

The length of the slide = 14.5ft

The length of the ladder = 8.5 ft

The angle made by the ladder and ground = 90°

The angle formed by the slide can be found using the Pythagoras theorm,

                  sinθ = O / H

where θ is the angle made by the slide

           O is the side opposite to the angle of the slide

           H is the side that is hypotenuse with the slide

Let us rearrange the above equation in order to get the angle of the slide,

                    θ = sin⁻¹ (O/H)

Let us substitute the known values in the above equation, we get

                    θ = sin⁻¹ (8.5 / 14.5)

                       = sin⁻¹ (0.586)

                       ≈ 36°

Thus, the angle of the slide is 36°

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Answer:

y = ax

[tex]y = {ax}^{2} + bx + c[/tex]

Answer: two times four times three ( or if you meant 3x) then three x

Step-by-step explanation:

Answer: B

Step-by-step explanation: 61 - (f x 14) would give us the number of french fries he had left over

You need to look at the graph and identify where the x-axis is located.

In this graph Domain is {-2,2,4,6}

To determine the domain of a graph, you need to look at the graph and identify where the x-axis is located.

The domain of a graph is the set of all possible x-values for which the graph is defined.

In other words, it is the set of all x-values that the graph will plot.

For example, if the x-axis of the graph is between 0 and 10, then the domain of the graph is the set of all numbers between 0 and 10, including 0 and 10.

The domain of a sine wave graph is all real numbers. This is because the sine wave graph is periodic and repeats itself over and over again.

In this graph domain is {-2,2,4,6}

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Answer:

28

Step-by-step explanation:

a² + b² = c² where c is the hypotenuse (8)

a² + 6² = 8²

a² + 36 = 64

a² = 64 - 36

a² = 28

take square root of both sides

a = square root 28

Answer:

5,827

Step-by-step explanation:

substitute x = 10 into the expression

5(10)³ + 8(10)² + 2(10) + 7

= 5(1000) + 8(100) + 20 + 7

= 5000 + 800 + 27

= 5,827

A line of longitude is called a meridian because it connects the North and South poles and forms a circle around the Earth, like the sun's meridian path during the day.

A line of longitude is an imaginary line that circles the Earth and runs in a north-south direction. It is measured in degrees and divides the Earth into two equal halves, the Eastern Hemisphere and the Western Hemisphere. This line is called a meridian because it is derived from the Latin word meridies which means mid-day or noon. The sun's path across the sky during the day follows a meridian from the North Pole to the South Pole, and this is what inspired the term "meridian" to describe the line of longitude.

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a. The simple interest for 4 years would be $960.

b. The amount at the end of the 4 years would be $2160.$

A man deposited $1200 in his bank account. A simple interest of 20% per annum was paid on his deposit.

a. For calculating simple interest for the 4 years

We have been given data as:

Principal (P) = $1200

Rate of Interest (R) = 20%

Time (T) = 4 years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

The simple interest for 4 years would be:

⇒ 1200 x 20% x 4 = 960

b. For calculating the amount at the end of the 4 years

The amount at the end of the 4 years would be:

1200 + 960 = 2160

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Answer:

31%

Step-by-step explanation:

21 s - 15 exercise

28 c - 21 exericse

15/49 = 31%

Answer:

Step-by-step explanation:

21 + 28 = 49

49 + 15 = 64

64 + 21 = 85

Have a Nice Day :  ) if Incorrect sorry.

On solving the provided question, we can say that probability, P( use the freight elevator exactly four times) = 4/7 *100 = 57.1428571429 %

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

the favorable out come is 4 times

total outcomes = 7 times

Probability, P( use the freight elevator exactly four times) = 4/7 *100 = 57.1428571429 %

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Answer: $512.50

Step-by-step explanation:

     Eliana saved for 25 weeks and put $20.50 in her savings account every week. We will use multiplication to help us solve.

$20.50 * 25 weeks = $512.50

Ans$w3r:

The answer is $512.50

Step By Step Explanation:

25 weeks x $20.50 =  $512.50

Answer

38,400

Step by Step Explanation

Firstly we have to get the volume of the cube box in cm³ which is 480³ = 110,592,000

Secondly we have to get the volume of the cuboid in cm³ too which is 24×12×10 = 2,880

And lastly, 110,592,000/2,880 = 38,400

The number of closed cuboidal boxes is 38400.

Side of the Cubical Box, a = 4.8 m

Using the formula,

Volume of a cube: V = a³

V1 = a³

V1 = (4.8)³

V1 = 110.59 m³

Dimension of Cuboidal Boxes,

Length, l = 24 cm

Breadth, b = 12 cm

Height, h = 10 cm

Using the formula,

Volume of cuboid : V = l × b × h

V2 = l × b × h

V2 = 24 × 12 × 10

V2 = 2880 cm³ or 0.0028m³

Number of closed cuboidal boxes,

[tex]=\frac{Volume of cube}{Volume of cuboid}[/tex]

[tex]= \frac{110.59}{0.0028}[/tex]

[tex]= 38400[/tex]

Hence, there are 38400 closed cuboidal boxes.

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Answer:

13x+38

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since adding a negative to a positive is inverse subtracting, use this as an advantage and act as if you're subtracting to get the result, or output value, -9.

Hope this helps! :)

Answer:

[tex] \sf \: x = - 11[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ 2 + x = -9

Then the value of x will be,

→ 2 + x = -9

→ x + 2 = -9

→ x = -9 - 2

→ [ x = -11 ]

Hence, the value of x is -11.

Answer:

Yes it is!

Step-by-step explanation:

Hope it helps!

Answer: If I'm correct it's 3

Step-by-step explanation:

0 + 3 = 3

Yes, it showed you the fomula

Answer: 64x^6y^3

The value of the term in the arithmetic sequence is -65. Option C

The general formula for the nth term of an arithmetic sequence is expressed as;

an = a₁ + (n − 1)d

Given the sequence;

16, 7, -2, -11, -20,...

The common difference is determined as = second term - first term

= 7 - 16

= -9

Now, substitute the values, we get;

a10 = 16 + (10-1)-9

expand the bracket, we get;

a10 = -6 + 9(-9)

multiply the values, we have;

a10 = 16 -81

Subtract the terms

a10 = -65

Thus, the value is -65

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The servings can be made from two gallons is 192 serving

From the question, we know that 4 cups of milk equals to 24 servings.

4 cups = 24 serving

To solve total serving which can be made from two gallons of milk, we have to convert unit from gallon into cup, so it can be multiplied with the amount of serving

1 gallon equals to 4 quarts .....(1)

1 quart equals to 2 pints ..........(2)

From info no. 1 and 2, we can know that

1 gallon = 4 x 2 = 8 pints ..........(3)

Next, 1 pint equals to 2 cups ...........(4)

Since 1 gallon equals to 8 pints from information no. 3, we combine information no. 3 and information no. 4 to convert gallon to cup.

1 gallon = 8 x 2

             = 16 cups ....................(5)

For 2 gallon, we just simply multiply info no 5

2 gallon = 16 x 2 cups

              = 32 cups .................(6)

In the case of 4 cups can make 24 serving, Total number of serving can be calculated with info no. 6

Number of serving = 32 / 4 x 24 = 8 x 24 = 192 serving

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An exponential function is a function in which the variable (usually represented by "x") is the exponent, rather than the base.

The most common form of an exponential function is f(x) = b^x, where b is a positive constant known as the base of the function.

Exponential functions can take many different forms, but they all have one thing in common: the variable is in the exponent. In most cases, the base of the function is a positive constant, and the exponent is the input variable. Exponential functions can also be used to model a wide variety of real-world phenomena, such as population growth, compound interest, and decay of radioactive materials.

The graph of an exponential function is always a smooth curve that increases or decreases at an increasing rate. The slope of the curve increases as x increases, which means that the rate of change of the function also increases as x increases.

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The side lengths of the new right triangle can be determined by the ratio of the given triangle.

A triangle is a three-sided polygon with three straight sides that are connected at three corners. It is one of the most basic shapes in geometry and is found in many areas of mathematics. Triangles can be classified according to their angles, sides, and size. They can be equilateral, isosceles, or scalene, depending on the size of their angles and sides. Triangles are used in a variety of fields, including architecture, engineering, construction, art, and design.
The side opposite the 30° angle will always be half the length of the hypotenuse, while the side opposite the 60° angle will always be equal to the square root of three times the length of the side opposite the 30° angle. This means that if the hypotenuse of the given triangle is 2, then the side opposite the 30° angle will be 1 and the side opposite the 60° angle will be √3.

Therefore, for any other right triangle containing a 30° or a 60° angle, the side length can be found by multiplying the side length of the given triangle by the same ratio. For example, if the hypotenuse of the new triangle is 6, then the side opposite the 30° angle will be 3 and the side opposite the 60° angle will be 3√3.

In conclusion, for any right triangle containing a 30° or a 60° angle, the side lengths can be determined by multiplying the side lengths of the given triangle by the same ratio.

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The slope of the line will be,In 10 months the savings will be at,The graph of this line will positive slop.

Sean deposits $275 each month into his savings. He started with $1000 in the account.

The slope of the line will be In 10 months the savings will be at ,The graph of this line will y = savings and x = months

The slope of the line will be,In 10 months the savings will be at,The graph of this line will positive slop.

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The ordered pairs (0,0), (- 2, - 5), (5, - 3) are solutions of the inequality 5y - 3x ≤ 7.

A linear inequality is one that would result in a linear equation if we were to substitute the equals relation for the inequality. When solving the inequality, the direction of an inequality is reversed when we multiply or divide both sides by a negative value.The collection of all solutions makes up the solution set for an inequality.

Here,

Now, in order to determine which ordered pairs are a solution, we need to substitute the coordinate points into the left side of the inequality and check against right side for the validity.

A. (0,0)

5(0) - 3(0) = 0 ≤ 7  

So, (0,0) is a solution.

B. (3, 5)

5(5) - 3(3)= 25 - 9 = 16 ≥ 7

So, (3, 5) is not a solution.

C. (1,2.5)

5(2.5) - 3(1)= 12.5 - 3 = 9.5 ≥ 7

So, (1,2.5) is not a solution.

D. (- 2, - 5)

5(-5) - 3(-2) = - 25 + 6 = - 19 ≤ 7  

So, (- 2, - 5) is a solution.

E. (5, - 3)

5(-3) - 3(5) = - 15 - 15 = -30 ≤ 7  

So, (5, - 3) is a solution.

Hence, the ordered pairs (0,0), (- 2, - 5), (5, - 3) are solutions of the inequality 5y - 3x ≤ 7.

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The polynomial x² - 6x + 4y - 19 = 0 has domain and range along D: (–∞, ∞); R: (–∞, 7], the foci is at (3, 6), it's directrix and axis of symmetry are y = 8 and x = 3 respectively

A polynomial is an equation made up of constants, such as integers and algebraic operations, and variables (sometimes referred to as coefficients) (such as addition, subtraction, multiplication, and division). The quantity of terms it contains determines what it is. Quadratic equations, cubic equations, and quartic equations are typical examples of polynomials.

In the given problem, the polynomial is

x² - 6x + 4y - 19 = 0

4y = -x² + 6x + 19

The domain of this function is;

domain = (-∞, ∞)

The range of the function is all possible values along the y - axis

range = (-∞, 7]

The focus is along (3, 6)

The directrix of the polynomial is y = 8

The axis of symmetry is x = 3

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The option D is correct. The line is going through the origin.

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The equation will be represented as angle = (n - 2) × 180.

The value of n is 2.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

Since the sum of the interior angle measures of an n-sided convex polygon is (n−2)·180°.

An equation setting this expression equal to the given angle measure will be:

angle = (n - 2) × 180

Angle = 180n - 360

The value of n will be:

180n - 360 = 0

180n = 360

Divide

n = 360/180

n = 2.

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Answer:

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = [tex]\frac{5}{3}[/tex] , then

y = [tex]\frac{5}{3}[/tex] x + c ← is the partial equation

to find c substitute (4, 6 ) into the partial equation

6 = [tex]\frac{5}{3}[/tex] (4 ) + c = [tex]\frac{20}{3}[/tex] + c ( subtract [tex]\frac{20}{3}[/tex] from both sides )

[tex]\frac{18}{3}[/tex] - [tex]\frac{20}{3}[/tex] = c , so

c = - [tex]\frac{2}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{2}{3}[/tex] ← equation of line