What are the domain and range of this graph? f(x)=x^5+x^2

What Are The Domain And Range Of This Graph? F(x)=x^5+x^2

Answers

Answer 1

Therefore ,the domain and range of this graph  f(x)=x^5+x^2

Domain : (-∞,∞), {x|x ∈ R} Range:(-∞,∞), {y|y ∈} R

what is domain?

A function's domain is the set of possible values that can be entered. This set reflects the values of x in a function like f. (x). Its range refers to the set of possible values that a function can accept. These are the values that are returned by the function when we enter an x value.

Here,

The domain is all values of x that make the expression defined.

Interval Notation:

(−∞,0)∪(0,∞)

=>(-∞,∞)

The Range is all values of y that make the expression defined.

Interval Notation:

(−∞,0)∪(0,∞)

=>(-∞,∞)

Therefore ,the domain and range of this graph  f(x)=x^5+x^2 Domain : (-∞,∞), {x|x ∈ R} Range:(-∞,∞), {y|y ∈} R

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Related Questions

What is the slope of the function

Y = -5/4x - 3
PLEASE HELP ASAP

Answers

The slope is -5/4. This is because the function is in y=mx+b form which means that m (slope) is -5/4

Graph the equation-5y=-6x+15
A.linear
B.quadratic
C.exponential
D.absolute value

Answers

The graph of the equation would be linear in nature.

Option (A) is correct.

What is a graph of an equation?

The picture is obtained by plotting all the points of an equation or inequality. If there is only one variable, the graph is on a number line. If there are two variables, the graph is on the coordinate plane. If there are three variables, the graph is in three-dimensional coordinates.

The given equation is

-5y = -6x + 15

Now arrange it properly, we get

6x - 5y = 15

Now draw the graph, we get

Hence, the degree of the equation is 1. so the graph of the equation would be linear in nature.

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1) Triangle ABC has vertices A(6,2), B(3,4), and C (2,8). If the triangle is rotated
90° counterclockwise, what are the coordinates of the image A'B'C'?

Answers

The coordinates of the image A'B'C are A(-2, 6) B(-3, 4) C(-8, 2)

How do you find the coordinates of a triangle?A specific example of barycentric coordinates for a triangle is referred to as triangular coordinates, and it is also known as a ternary plot or areal coordinates. Triangular coordinates can also refer to any of at least three additional related systems of coordinates in the Euclidean plane.The coordinate geometry formula for the area of a triangle A = (1/2) |x1 1 (y2 2 y3 3) + x2 2 (y3 3 y1 1) + x3 3 (y1 1 y2 2)|, where (x1 1,y1 1), (x2 2,y2 2), and (x3 3,y3 3) are the coordinates of the triangle's vertices, gives the area of a triangle in coordinate geometry.y = mx + c. The points whose coordinates fulfil the equation y = mx + c, on the other hand, always lie on the line with gradient m and y-intercept c.

Given data :

Triangle ABC has vertices A(6,2), B(3,4), and C (2,8).

Although I am aware that the coordinates must rotate around the origin, I am unsure of the signs (+ or -).

Consequently, the shape is in the second quadrant of the graph, and the 90-degree angle should be in the fourth quadrant rather than the first (which is 180 degrees anticlockwise) or third (.180 anticlockwise)

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Bart is writing lines on a chalkboard that is initially empty. It ordinarily takes Bart 50 minutes to cover the whole board; however, today, Nelson is erasing the board while Bart is writing. Nelson can erase the board in 80 minutes by himself. If they work simultaneously, how long will it be until the whole board is covered?

Answers

think about this conceptually first. The difference between their rates of work is going to be the total speed at which the chalk board fills up (speed of writing - speed of erasing).

Ok, so we need to find the speed that Bart is writing, and the speed at which Nelson is erasing.

Bart: 50 minutes/ 1 board

However, we want to find his speed, which will be in boards/minute. Flip the fraction to get 1 board/50 minutes. Then multiply top and bottom by 1/50 in order to get 1/50 board per minute.

Bart's Speed = 1/50 board per minute

Do the same for Nelson, to get 1/80 board per minute (erasing).

The difference between these will be 1/50 - 1/80 = 3/400 board per minute

Since we want to know how long it will take to fill the board at this rate, we multiply 1 board * 1/(3/400) minute per board - this is the same as 1 * 400/3

So, the answer is 400/3 minutes, or 133.33 minutes, or 2 hours, 13 minutes.

#2

This is the same idea as #1. His speed without the headwind is 2000 miles/5 hours = 400miles/hour.

His speed with the headwind is 2000 miles/8 hours = 250 miles/hour.

400m/h - 250m/h = 150m/h

The speed of the wind is 150 miles/hour.

Fred is playing tennis. For every 2 of his serves that land in, 3 serves land out. If he hit 22 serves in, how many serves landed out?

Answers

The amount of serves landed out would be 33 because 2 • 11 is 22 and 3 • 11 is 33

I need an explanation on how to solve it!

Answers

The factored form of f(x) is f(x) =  (x+2) (x+2)(x+4)      

What is a factor?

A factor is a number/expression that divides another number/expression, leaves zero remainder . In other words, if multiplying two numbers/expressions gives us a product, then the numbers/expressions we are multiplying are factors of the product because they are divisible by the product.

f(x) = x³ +8x² + 20x + 16

The value of x at which f(x) is zero, is the root

x= -2 is a root

so, ( x- (-2) ) = ( x+2) is a factor

Divide the polynomial  x³ +8x² + 20x + 16  by  ( x+2)  using long division method:

x+2)  x³ +8x² + 20x + 16  ( x² + 6x + 8

        x³ + 2x²

_______________________

               6x² + 20x + 16

                6 x² + 12x

____________________________

                            8x + 16

                            8x + 16

__________________________

                                00

f(x)= (x+2) (x² + 6x + 8 )

Factors of (x² + 6x + 8 ) are (x+2)(x+4)      

f(x) =  (x+2) (x+2)(x+4)      

Thus, the factored form of f(x) is f(x) =  (x+2) (x+2)(x+4)      

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2) AABC and ADEF are shown below. The
m/A=51°and m/F =39°. Is AABC~ADEF?
Fill in the blanks with words from the
word bank then read it to see if it
sounds correct.
the triangles are
because all angles
and the sides are
Word bank: yes, no, maybe, parallel,
vertical angles, corresponding,
complimentary, congruent, right angles,
similar, proportional.

Answers

Answer:

Yes, the triangles are similar, because all angles are congruent and the sides are proportional.

Step-by-step explanation:

In similar triangles the corresponding angles have the same measurement.  The sum of the interior angles of a triangle is 180.  Both triangles have a 90 angle.  180-90 = 90.  The other two answer must add to 90.

90 - 51 = 39.  So each triangle has a 90, 51 and 39 degree angle.

The sides are also proportional.  The scale factor from the smaller triangle to the larger is 2 and if you go the other way the scale factor is 1/2

What is the equation of the line that passes through the point (-1,-5) and has a slope of 1?

Answers

Answer:

y=x-4

Step-by-step explanation:

if the slope is 1, the y intercept is -4

What is the equation of the line that passes through the point (-1,-5) and has a slope of 1?

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.

Since the line passes through the point (-1,-5) and has a slope of 1, we can substitute these values into the equation to solve for the y-intercept. We get:

y = 1x + b

(-5) = 1(-1) + b

-5 = -1 + b

-4 = b

Therefore, the equation of the line that passes through the point (-1,-5) and has a slope of 1 is y = 1x - 4.

DETERMINE WHICH ORDERED PAIRS ARE SOLUTIONS TO THE LINEAR INEQUALITY: 2x - 3y < 15


1: ( 2 , 5 )

2: ( -1 , -7 )

3: ( 3 , -4 )

4: ( 0 , 0 )

Answers

The two ordered pairs that are solutions of the inequality are:

( 2 , 5 ) and  ( 0 , 0 )

Which ordered pairs are solutions of the inequality?

Here we have the linear inequality:

2x - 3y < 15

To check which ordered pairs are solutions, we just need to evaluate these points on the inequality and see if it becomes true or not.

For example, with the first pair (2, 5) we will get:

2*2 - 3*5 < 15

4 - 15 < 15

-11 < 15

This is true, so (2, 5) is a solution.

The other solution is the fourth option (0, 0), so we get:

2*0 - 3*0 < 15

0 < 15

(0, 0) is also a solution.

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If you rent a car from Caleb's Cars, you'll pay a $61 fee
and $24 per day. At Vinny's Vehicles, you'll pay a $105 fee and $20 per day. Determine the number of days you can rent a car from either place and pay the same amount. Use substitution or elimination.

Answers

11 days are required to rent a car at both locations at the same price.

What is a System of Equations?

A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.

1st equation: 61+24x=y

Equation 2: 105+ 20x Equals y

Eq. 1 - 2 - subtracted

105-61+20x-24x= 0

44-4x= 0

4x = 44

4 divided by both sides

x= 44/4

x= 11 days

Hence, 11 days are required to rent a car at both locations at the same price.

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EXERCISE 12.1 There are 20 girls and 15 boys in a class. (a) What is the ratio of number of girls to the number of boys? (b) What is the ratio of number of girls to the total number of students in the class?

Answers

Answer:

(a)  4 : 3

(b) 4 : 7

Step-by-step explanation:

a)

20:15

divide both by the HCF which is 5

4:3

b) 20 + 15 = 35

20 : 35

divide both by HCF which is 5

4:7

Share 850 between 2
Give the answer in it's simplest form.

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

850 ÷ 2 = 425

The amount each person got is 425.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total amount = 850

The number of people to share = 2

Now,

The amount each got.

= 850/2

= 425

Thus,

The amount each person got is 425.

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question 3 a data analyst is working with the world happiness data in tableau. what tool do they use to select the area on the map representing finland?

Answers

Pan tool do the data analyst use to select the area on the map representing Finland.    

What is data analyst?

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

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below.
Enter your answer in the box below.
5432
2 3 4 5

Answers

Answer: 1/-4

Step-by-step explanation:

Find your initial y and x points (-2y and 0x) and then find another point that is equivalent (-1y and -4x) and use m=rise/run = y2-y1/x2/x1 to get your answer of 1/-4

what is 2(x + 4) equivalent to

Answers

Answer:

2 x x = 2x

2 x 4 = 4

so 2x + 8 is the answer.

To solve this equation we must expand its terms so that we can then multiply and add.

¿What are the equations?

Equations are those mathematical equalities divided between two expressions which are called members and separated by their equal sign, in which known elements and unknown or unknown data appear, related by mathematical operations.

We solve the problem:2 (x + 4)2x + 2 × 42x + 8

So, our result of the equation is 2x + 8

¡Hope this helped!

PLEASE HELPPPP brainiest answer will be marked.

Answers

35/12 is the value of tanZ

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Tanz is also given by ratio of sinz and cosz

The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side.

tanz=opposite side/adjacent side

tanz=xy/yz

=35/12

Hence, 35/12 is the value of tanZ

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Can someone help with this and teach me how?
432x486

Answers

209952 is the value of 432x486

What is Multiplication?

Multiplication is a method of finding the product of two or more numbers

We need to multiply 432 and 486

Steps to follow to find this

1. Line up both your numbers with one on top of the other.

2.Make sure that the places match up for the ones, tens, and hundreds

3. Multiply the top number by the last digit of the second number – the 'ones' unit.

     432

   ×486

___________

     2592

    3456+

   1728++

_____________

   209952

Hence, 209952 is the value of 432x486

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The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers. x + (x + 1) + (x + 2) = 42 x + (x + 2) + (x + 4) = 42 (x minus 1) + x + (x + 1) = 42 (x minus 2) + x + (x + 2) = 42 x + 2 x + 3 x = 42

Answers

There are two ways to represent this equation: "x + (x + 1) + (x + 2) = 42" and "(x minus 1) + x + (x + 1) = 42".

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical phrase with two equal sides and an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

There are 2 ways,

x+(x+1)+(x+2)=42

(x-1)+x+(x+1)=42

This equation can be written as "x + (x + 1) + (x + 2) = 42" or "(x minus 1) + x + (x + 1) = 42," respectively.

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A department store buys 400 shirts at a cost of ​$4,800 and sells them at a selling price of ​$20 each. Find the percent markup.

Answers

40% is  the percent markup.

What does math mean by percentage?

A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. , a.

                    an a, the in the an in the an in the an in the an in the Per 100 is what the word percentage signifies.

= 1 - 4800 /20 ÷ 400

= 1 - 12/20

= 1 - 3/5

= 5 - 3/5

= 2/5

Multiply a number to both the numerator and the denominator

       2 *20/5 *20

 = 40/100

 = 40%

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Name two sets of alternate interior angles

Answers

Answer:

1st and 3rd ones.

Step-by-step explanation:

<BAD and <ADE are equal because the transversal connects the two angles on alrenate sides. Also <CBA and <CED are equal, as they are again, alternate and the transversal (the diangonal line) connects them.

interval notation: -6.5 < x≤ 3

Answers

Answer:

(-6.5,3]

Step-by-step explanation:

pls help due tomm!! super easyy

Answers

Answer:see below

Step-by-step explanation:

a+4<b+4

Please help me solve this I’ll give brainless

Answers

Answer:

a) Solving by factoring, you move 225 to the left side by subtracting then making the equation equal to 0.

b) x = -15

x = 15

Step-by-step explanation:

1. x^2 -225=0

2. Find what two numbers equal to -225 then factor by using the expression a^-b^2=(a-b)(a+b)

In this case, -15(15)=-225

(x-15)(x+15)=0

3. Find x

x-15=0

x+15=0

This equation has 2 solutions

x=-15

x=15

To check answer, one of the solutions into X

What is the domain of this function?

Answers

Answer:

C) x >= 3

Step-by-step explanation:

The domain of the function is all the x's for this function/graph/equation.

Since you have a graph, it is all the x's where the graph exists. The graph exists from 3 to the right (forever), so x can be everthing 3 and greater.

x >=3

pls solve with solution(s)^^

1.) 2.25 divided by 2.5 =

2.) 35 divided by 0.05 =

3.) 45 divided by 0.15 =

4.) 630.21 divided by 0.07 =

5.) 0.29 divided by 9.28 =​

Answers

The solutions for the given division are explained below:

What is meant by division?

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

In its most basic form, the division of two natural numbers involves counting the instances in which one number is contained inside another, among other possible applications. It is not required that this number be an integer. When two natural numbers are divided with a remainder, or in the Euclidean method, the result is an integer quotient, or the number of times the second number is entirely included in the first, and a remainder, or the portion of the first number.

1) 2.25/2.5=0.9

2) 35/0.05=700

3) 45/0.15=300

4) 630.21/0.07=9003

5) 0.29/9.28=0.03125

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Please find the equation that fits this chart

Answers

Answer: y = 3/4x

Step-by-step explanation:

(100, 75)

(200, 150)

find slope

150 - 75 / 200 - 100

75 / 100 = 3/4

plug values into formula y=mx+b to find y-intercept

y = 3/4x + b

75 = 3/4(100) + b

75 = 75 + b

b = 0

3x + 4y =8 write equation in slope intercept

Answers

the answer would be y=-3/4x+2

Answer:

[tex]y=2-\frac{3}{4} y[/tex]

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope; b is the y-intercept

Therefore, we need to isolate the y variable first

3x + 4y = 8

-3x          -3x

4y=8-3x                Divide both sides by 4 to leave y by itself.

/4    /4

[tex]y=2-\frac{3}{4} y[/tex]

If If you can help that would be great
3n < 3

Answers

Answer:

n<1

Step-by-step explanation:

3n<3
/3. /3

n<1
hopes this helps

Answer:

n < 1

Step-by-step explanation:

3/3 n < 3/3

n < 1

Solve over the complex number x^2+16=0

Answers

Move constant
X^2=-16

Take square root of both side
X=+4, x=-4

X1=-4i, x2=4i

May I get Brainly

if a/b=c, then a= bc

A. If a/b ≠ c, then a ≠ bc.
B. If a =bc then a/b=c.
C.Ff a ≠ bc, then a/b ≠c
D. If a/b=c. then a≠ bc

Answers

Even though A and B are both square, AB always equals BA.

How to Prove that if ab=ac, then b=c ?

Could someone please assist me in demonstrating that b=c follows from ab=ac and a does not equal 0. You can only apply the field axioms. Here is my try.

ab=ac then, ab-ac=0

a(b-c)=0

a(0)=0 Since a cannot equal zero (this has already been shown), (b-c) must also equal zero, leaving us with...

b-c=0

b=c

The only issue I have with the above is that I presupposed that a did not equal 0. I'm not sure if this is okay because the original theorem I'm attempting to prove includes the claim that "a does not equal 0."

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