PLEASE HELP ME !!!!!!!!!!!
for each equation, find f(-x) and -f(x) and then determine whether if is even, odd or neither. Justify your answer


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

Answers

Answer 1

The function f(x) = x^4 + 4/x^2 + 1 is an even function

How to determine the function type?

The equation of the function is given as

f(x) = x^4 + 4/x^2 + 1


Calculate f(-x)

So, we have

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

Evaluate the exponents

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

Calculate -f(x)

So, we have

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

Evaluate the product

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

From the above computations, we have

f(x) = f(-x)

This represents an even function

Hence, the function f(x) = x^4 + 4/x^2 + 1 is an even function

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Related Questions

Justify Step 4 of this Proof

Answers

Answer:

I believe it's SSS

Step-by-step explanation:

This is because all sides are congruent to each other.

Following the statements and proofs it’s by SSS.

T is the midpoint of segment SU. If ST= 17x and TU= 7x + 39 Find the value of x.

Answers

Answer:

[tex]\displaystyle x=\frac{39}{10}[/tex]

What is the midpoint?

The midpoint of a line bisects that line into two congruent line segments - otherwise speaking, they are equivalent to each other.

Due to this, we can set the equations equal and solve for x.

Solve

First, set the equations equal to one another.

[tex]17x = 7x + 39[/tex]

Subtract 7x from both sides of the equation to combine like terms.

[tex]17x - 7x = 7x - 7x + 39[/tex]

[tex]10x =39[/tex]

Then, divide both sides of the equation by 10 to isolate the variable.

[tex]\displaystyle \frac{10x}{10} = \frac{39}{10}[/tex]

[tex]\displaystyle x=\frac{39}{10}[/tex]

Final Answer

[tex]\displaystyle \boxed{\bold{x=\frac{39}{10}}}[/tex]

Calculate the rate of change for the following data:
x y
-1 5
2 -4
7 -19
10 -28

A. 6
B. -9
C. -3
D. 4​

Answers

Given:

The table of values.

To find:

The rate of change.

Solution:

From the given table it is clear that the rate of change is constant and function passes through two points (-1,5) and (2,-4). So, the rate of change is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{-4-5}{2-(-1)}[/tex]

[tex]m=\dfrac{-9}{2+1}[/tex]

[tex]m=\dfrac{-9}{3}[/tex]

[tex]m=-3[/tex]

So, the rate of change is -3.

Therefore, the correct option is C.

WILL GIVE BRAINLIEST

Answers

Answer:

e

Step-by-step explanation:

The equation y = 5x represents the amount of miles Fran runs in x days.
When a graph of this situation is drawn, what does the point (1, 5) on the graph represent?
A. The number of miles Fran runs each day.
B. The number of miles Fran runs on the first day.
C. The total number of miles Fran runs in five days.
D. The total number of miles Fran runs on the fifth day.

Answers

Answer:

b

Step-by-step explanation:

Danielle's car wash took in $185 to help raise money for the drama club. Danielle needed to spend $32 for car wash supplies. How much profit did the car wash make?

Answers

Answer:

153 185-32 is 153 so there's your answer

Find the area and the circumference of a circle with Diameter 6 yd . Use the value 3.14 for pi , and do not round your answers .

Answers

Step-by-step explanation:

i hope this helps its kind of hard to see but i tried lol

solve for x using the image

Answers

Answer:

6

Step-by-step explanation:

By the segment addition postulate, LM+MN=LN.

[tex]x+3=2x-3 \\ \\ 3=x-3 \\ \\ x=6[/tex]

The additive inverse of the complex number a+bi is -a-bi. The sum of a complex number and its additive inverse is zero.

Example: (5+4i)+(-5-4i)=0

What is the additive inverse of –2 + 8i?

2 + 8i

–2 – 8i

2 – 8i

–2 + 8i

Answers

I think it is 2-8i
Hope this helps

A complex number is said to be additive if  the sum of a complex number and its additive inverse is zero. The additive inverse of the complex number is 2+ 8i

What are additive inverses?

A complex number is said to be additive if  the sum of a complex number and its additive inverse is zero.

For instance the the additive inverse of the complex number a+bi is -a-bi.

Given the comlex number -2 + 8i, the additive inverse is expressed as:

Additive inverse = -(-2 - 8i)

Additive inverse = 2 + 8i

Hence the additive inverse of the complex number is 2+ 8i

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How many feet are in 9 meters?
1 m = 3.3 ft


9 m = [?] ft​

Answers

9 x 3.3 ft = 29.7 feet

Answer:

your answer is 29.7 feet's

Step-by-step explanation:

1m = 3.3ft

9m = x ft

Cross multiply

x = 9 ×3.3 ft

x = 29.7 feet

or 29 feet

How do you solve this problem

Answers

Answer

4 Months

Step-by-step explanation:

You pay 15 for 4 months giving you 60 then add 20 so you have 80 you have 10 for 4 months which is 40 then add 40 to it which is 80

Answer:

i think your supposed to input x

Step-by-step explanation:

15x+20 for Leslie

10x+40 for Rashad

and input 6 and 4 in the place of x

15(6)+20 = $110

10(6)+40 = $100 (Not same answer)

15(4)+20 = $80

10(4)+20 = $80. (Same answer)

in 4 months the clubs will cost the same

Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?​

Answers

Answer: q^3

Step-by-step explanation:

The required expression that is equivalent to the given expression is q³.

Given that,
To determine the expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
[tex]= \frac{(q^4)^{-3}}{q^{-15}} \\= q^{15 - 12}\\=q^3[/tex]

Thus, the required expression that is equivalent to the given expression is q³.

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bro sombody help me i am extremly not smart
and bad at math, thank you

Answers

Answer:

sure wuts ur question? I GOT IT

4 LBS

What’s the question then I’ll help lol

A is the center of the circle, and the length of CD is 15 centimeters.

Name a segment that is a radius. How long is it?


AC: 7.5cm


CD: 7.5cm


CD: 15 cm


AC: 15cm

Answers

AC: 7.5cm because half of CD is 7.5 and since the middle of the circle is labeled A the radius would be AC:7.5cm.

The radius of the circle will be 7.5 cm. Then the correct option is A.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

If the chord is passing through the origin. Then the chord will be the maximum chord and the maximum chord is known as the diameter of the circle.

A is the center of the circle, and the length of the CD is 15 centimeters.

The length CD is the diameter of the circle.

The length of the radius is calculated as,

AC = d / 2

AC = 15 / 2

AC = 7.5 cm

The radius of the circle will be 7.5 cm. Then the correct option is A.

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what is the slope of the line that contains the points (-1,2) and (2,2)

Answers

Answer:

the equation to find the slope is (y2-y1)/(x2-x1)

the points are (-1,2) and (2,2) so plug it in and you get

(2-2)/(2-(-1))

0/ (2+1)

0/3

whenever the numerator is 0, that means the slope is 0. the line is just a horizontal line.

Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the
park and back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the
distance she rides each evening?
a) 1.5+x=25
b)1.5+1.5+x=25
c)5(1.5+c)=25
d)5(1.5+1.5+x)=25

Answers

Answer:

5(1.5+1.5+x)=25

Imma beginer don't judge this is the answer i think

in each of the following figures p ll q. find the indicated vaules​

Answers

Answer:

you found the value of x, just put it in the equation

What type of solution does this equation have?
2x + 6 - 2 = 5
no solution
one solution
infinite many solutions

Answers

Answer:

one solution

Step-by-step explanation:

only one solution :) hope help

BRAINLIEST BRAINLIEST
please answer thank you

Answers

Answer:

y + x = 7

Step-by-step explanation:

Standard form should be

y - 9 = -(x+2)

y = -x -2 +9

y + x = 7

Answer:

y + x = 7

Step-by-step explanation:

hope that helps :)

could you mark my answer as brainliest ? :)

The coordinates of point T are ​(0​,5​). The midpoint of is ​(2​,-5​). Find the coordinates of point S.

Answers

The coordinates of point S is (4, -15)

How to find the coordinates of point S?

The given parameters are

T = (0, 5)

Midpoint = (2, -5)

The midpoint of a line is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

So, we have

(2, -5) = 1/2 * (0 + x, 5 + y)

This gives

(4, -10) = (x, 5 + y)

Solve for x and y

So, we have

x = 4

5 + y = -10

This gives

x = 4

y = -15

Hence, the coordinates of point S is (4, -15)

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x+8y
units
8x -x+5y units
what’s the perimeter?

Answers

Answer:

P = 16x+26y units

Step-by-step explanation:

Let the length is (x+8y) units

Width = (8x-x+5y) units

We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.

P = 2[(x+8y) + (8x-x+5y)]

= 2[(8x+8y+5y)]

= 2[8x+13y]

= 16x+26y

Hence, the required perimeter is 16x+26y.

1 Ray is making a dessert by mixing honey and yogurt in the ratio of 2 to 13. How much yogurt and honey does he need to ma 600 grams of the dessert

Answers

Answer:

80 grams honey, 520 grams yogurt

The measure of angle b is 3x degrees

Answers

Can we have more information on the question please?

How do I solve this question?

Answers

9514 1404 393

Answer:

  no, y does not vary directly with x

Step-by-step explanation:

If there is direct variation, the constant of variation can be found as ...

  k = y/x

Here, those ratios are ...

  y/x = 6/3 = 2

  y/x = 18/6 = 3

  y/x = 24/8 = 3

The ratio of y to x is NOT A CONSTANT, so there is no direct variation.

At the restaurant, the cost of the meal before tax was $40. The tax is 8.5%, and Sheri wants to leave at least an 18% tip. Explain how to approximate the total cost of the meal.

Answers

Solution :-

given that,

→ Cost of meal before tax = $ 40

and,

→ Tax = 8.5%

So,

→ Total tax paid = 8.5% of cost of meal = (40 * 8.5)/100 = $ 3.4

now,

→ Tip = 18% of cost of meal = (18 * 40)/100 = $ 7.2

then,

→ Total cost of the meal = Cost of meal before tax + Total tax paid + Tip = 40 + 3.4 + 7.2 = $50.6 ≈ $51 (Ans.)

Shortcut :-

→ Total cost of the meal = Cost of meal * (100% + 8.5% tax + 18% tip) = 40(1 + 0.085 + 0.18) = 40 * 1.265 = $50.6 ≈ $51 (Ans.)

How to find the surface area of a polyhedron BE SPECIFIC

Answers

first identify each length by seeing with the hash marks ( looks like ||) all those are equal to your length. then find the area of each shape by multiplying LXW.Add all of the areas together and u get the surface area. make sure to add (square unit) for example 20cm squared.

4 thumb drives and 1 compact disk have a
total capacity of 18 gigabytes. 3 compact
disks and 4 thumb drives have a total
capacity of 22 gigabytes. Find the capacity
of 1 thumb drive (x) and the capacity of 1
compact disk (y).

Answers

The capacity of thumb drive disc is 4 gigabytes and the capacity of compact disc is 2 gigabytes.

How to calculate the equation?

Let thumb drive = (x)

Let the capacity of 1 compact disk = (y).

Therefore, the appropriate equation will be:

4x + y = 18

4x + 3y = 22

Subtract the equations

2y = 4

y = 4/2

y = 2

The capacity of compact disc is 2 gigabytes.

Since 4x + y = 18

4x + 2 = 18

4x = 18 - 2

4x = 16

x = 16/4

x = 4

The capacity of thumb drive disc is 4 gigabytes.

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What is the slope of the line?

As soon as possible please !!

Answers

Answer:

[tex]m=\frac{-8}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 4)

Point (4, -4)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{-4-4}{4+1}[/tex]Subtract/Add:                                          [tex]m=\frac{-8}{5}[/tex]

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

Answer:

Circle

Step-by-step explanation:

[tex]x dx=-y dy \\ \\ \int x \text{ } dx=\int -y \text{ } dy \\ \\ \frac{x^2}{2}=-\frac{y^2}{2}+C \\ \\ x^2=-y^2+C \\ \\ x^2+y^2=C[/tex]

Which is the equation of a circle.

Are these triangles congruent? If so, why?

Answers

Yes the triangles are congruent by ASA axiom or congruency .

Because one side of triangle is equal and two angles are equal . So option 1 is your answer .

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