Is the function f x
2x4 + 4x2 – 1 is an even function. Prove it algebraically

Answers

Answer 1

Answer: The function is even.

Step-by-step explanation:

x= 0.5 AND x -0.5 will give you the same result for y.

Brainliest plz


Related Questions

Can someone help please no links

Answers

Answer:

-4 or 4 I would have to go with-4!!

Step-by-step explanation:

I hope this helps in any way!!

The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.

Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No

Answers

Answer: 150 m, 5.305*10^-5 kW/m^2, No

Step-by-step explanation:

See attachment, hope this helps

Using the radiation intensity formula we will have to:

a) [tex]150 m[/tex]

b) [tex]5.305*10^{-5} kW/m^2[/tex]

c)No

From the data informed, we have:

[tex]h=150m\\P=40KW[/tex]

Using the given formula and performing some mathematical operations:

[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]

deriving the given equation, we will have:

[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]

So from this equation we have that the answer of the letter A corresponds:

[tex]R=150[/tex]

For letter B we will have to develop this equation:

[tex]I= 5.30X10^{-5}[/tex]

As for the letter C, when converting the value found, it should give 200 microwatts, which is false.

Learn more: brainly.com/question/10148635

what is -3 (x+2) = 16 -x

Answers

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

[Distributive Property] Distribute -3:                                                                -3x - 6 = 16 - x[Addition Property of Equality] Add x on both sides:                                     -2x - 6 = 16[Addition Property of Equality] Add 6 on both sides:                                    -2x = 22[Division Property of Equality] Divide -2 on both sides:                                x = -11

Clarke earns
2.5
%
interest a savings account each year. If Clarke deposits
$
2
,
000.00
into a savings account, how much interest will Clarke earn during the first year?

Answers

Answer:

$ 50.00

Step-by-step explanation:

Hope this helps!

Which of the following is the difference of two squares

4g-16h
16a^2-4y^2
2x^2-4y^2
25m^3+100n^2

Answers

Answer:

2nd option

Step-by-step explanation:

A difference of squares has the general form

a² - b²

where the terms on either side of the subtraction ( the difference ) are both perfect squares.

The only one fitting this description is

16a² - 4y²

= (4a)² - (2y)² ← difference of squares

A painter checks a canvas to be sure it is rectangular. One of the canvas’ diagonals measures 48 inches. If the canvas is a rectangle, what is the measure, in inches, of the other diagonal?

A.)24
B.)12
C.)96
D.)48

Answers

Answer:

D)48

Step-by-step explanation:

D) 48

Step by step explanation

The maximum land speed of a cheetah is about 120km/hour.
What is this speed limit, rounded to the nearest whole number, in m/s?

Answers

Answer:

  33 m/s

Step-by-step explanation:

  120 km/h × (1 h)/(3600 s) × (1000 m)/(1 km) ≈ 33 m/s

_____

Additional comment

In general, units conversion is done by multiplying by a factor whose numerator and denominator have equal values, but different units. The units in that fraction need to be arranged to cancel the units you don't want and leave the units you do want.

Please help and explain. You don't understand it very well.

Answers

Answer:

y = (-1/2)x + 2

Step-by-step explanation:

The black line slopes down as we move from left to right, so we conclude that the slope is negative.   From (0,  2) to (4, 0), y drops by 2 units (the rise) and x increases by 4 units (run).

Thus the slope is m = rise / run = -2/4, or m = -1/2.

The y-intercept is (0, 2), so the value of b in the equation y = mx + b is 2.

Thus the equation of this line is y = mx + b  =>  y = (-1/2)x + 2

Find the measure of Angle 8

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Angle 8 = 99°

Since they form corresponding Angle pair ~

you're so cool! I hope you have an awesome day!​

Answers

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

need help ASAP its due tonight

Answers

Answer:

Step-by-step explanation:

15/3 + 3 =

15/3 + 9/3 =

24/3 =

8

2(15) + 3              30 + 3                    33

-------------  =       --------------   =     ----------------

   3                           3                      3

33/ 3 =

11

mark me brainliest :D

       

first one is 15 divided by 3 which is 5 so 5+3 and then the next answer is 11 because 2x15 is 30 and 30+3 is 33 and 33 divided by 3 is 11 so in conclusion
first answer: 8
second answer:11

The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation?.

Answers

The absolute value function that could represent this situation is:

[tex]|D - 42.67| = 0.002[/tex]

The absolute value function is defined by:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

It measures the distance of a point x to the origin.

The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:

[tex]|D - 42.67| = 0.002[/tex]

A similar problem is given at https://brainly.com/question/24514895

solve pls brainliest

Answers

Answer:

1/4

Step-by-step explanation:

The constant of proportionality is 1/4.

Answer:

b

Step-by-step explanation:

The form of an equation representing proportion is

y = kx ← k is the constant of proportionality

y = [tex]\frac{1}{4}[/tex] x ← is in standard form

with k = [tex]\frac{1}{4}[/tex]

Evaluate the expression below.

​5^{0}5
0

Answers

The 5-0-5 Agility Test is one of the most commonly recognised agility tests, despite its inability to actually measure agility. Instead, this is a change of direction speed test, which contrary to common belief, may not be capable of distinguishing between dominant and non-dominant leg performances.

Each container on a cargo ship holds 60 boxes of furniture.
Which table shows the values for 60c, the number of boxes
in c containers?
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 300 360
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 280 320
B.
4
5
6
Number of Containers, C
Number of Boxes, 60C
240 350 460
C

Answers

Answer:

imagine cheating on your star assessment but same tho the answer is c

Step-by-step explanation:

because i solved it on paper

Answer:

Step-by-step explanation:

C

50 Points Per Answer
Create a function in factored form for a roller coaster.

• Your coaster ride must have at least 3 relative maxima and/or minima
• The ride length must be at least 2 minutes (blueprint must use seconds)
• The coaster ride starts at 250 feet
• The ride dives below the ground into a tunnel at least once
• The ride must have one “turn around/bounce” (Mutliplicity 2)
• The ride must have at least one “twist/swerve” (Multiplicity 3)
• The ride must hit ground level at least three times (Three real zeros)

Answers

Answer:

Since you have 3 local extremas, you will have a polynomial function of degree 4.  The domain of the function is [0, 4].

 

Use these initial conditions as your guidelines:

 

f(0) = 250

 

f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].

 

f(x) decreases in any of the following intervals: (0, 1) or (2, 3)

 

 

Remember, you will have an arbitrary function that satisfies these conditions.

Step-by-step explanation:

I did :Your coaster ride must have at least 3 relative maxima and/or minima

What’s that answer please

Answers

it is an isosceles triangle :)

The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number

Answers

Answer:

The larger number is 96.

Step-by-step explanation:

[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]

answer the three questions pls

Answers

If you divide the cost by the ounces, that will be the unit rate.
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents

( DISCUSSION TOPIC )

NEED WITHIN 10 MINUTES!!!!


Up to this point, the only types of numbers you've seen have been rational numbers.You can write any rational number as a fraction.

The prefix ir- means not.

What do you think it means for a number to be irrational?

Can you think of any numbers that are irrational?​

Answers

Answer:

A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals or in the form (a/b) where a and b are integer and b does NOT equal 0.

An example of an irration number is the square root of 10, or pie because it is a infinited number

I hope this helps!

Answer:

the irrational is kind of a part

of the math that includes rational and

irrational numbers

You need to raise a total of $1,000 for your trip. There are 20 days before you leave. You estimate that you will be able to sell 25 candy bars per day. How much should you charge for each candy bar?

Answers

Answer:

1,000 ÷25 = 40 so 40÷20= $2.00

your answer is $2.00 hope this helps

(a−2b)^3 when a=−4 and b=−1\2

Answers

Answer:

- 125

Step-by-step explanation:

here is a screenshot please help 15 points

Answers

Length is 2 cm and angle is 135

Pls help this is due today and i have no idea

Answers

Answer:

x=38°

Step-by-step explanation:

sinx/21 =sin(38°)/21

sinx=21Sin(38°)/21

x = arcsin(21Sin(38°)/21)

x=38°

If h(x) = 15x - 171, find h(3)

Answers

H(3) means to replace x in the equation with 3 and then solve:

15(3) - 171

45-171

-126

Answer: -126

Solve by substitution.

x-2y=2
2x-5y=3

I give Brainliest
Please explain step by step.

Answers

// Solve equation [1] for the variable x


[1] x = 2y - 1

// Plug this in for variable x in equation [2]

[2] 2•(2y-1) - 5y = -3
[2] - y = -1
// Solve equation [2] for the variable y


[2] y = 1
// By now we know this much :

x = 2y-1
y = 1
// Use the y value to solve for x

x = 2(1)-1 = 1

a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?

Answers

Answer: 25 pencils

Step-by-step explanation:

2 × 5 = 10

5 × 5 = 25

( ꈍᴗꈍ)
introduction to algebra explain

Answers

Answer:

Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.

Step-by-step explanation:

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Hiiii!

Here's what algebra is:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.

In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

Hope it helps! ( ꈍᴗꈍ)

-Nezuko

Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 + 47 + 18). The expressions that four students created are shown in the table below.

Expressions Generated by Students
Student
Expression
Jeremy
(20 + 13 + 15) + (20 + 47 + 18)
Layla
(20 + 47 + 18) + (13 + 15 + 20)
Keith
(13 + 20) + (20 + 47 + 18) + 15
Melinda
(13 + 15 + 20 + 20) + (47 + 18)

How many of the students correctly applied only the associative property to rewrite the expression?
one
two
three
four
Mark this and return

Answers

Answer:

Jeremy

Step-by-step explanation:

You need to add 20+13+15=48 Then you add 20+47+18=85.

4-0,9+(-0,11)-(-1,3) PLEASE HELP

Answers

Answer:

-20

Step-by-step explanation:

PEMDAS

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