Which statement best describes how to determine wether f(x)=x^3 +5x+1 is an even function

Which Statement Best Describes How To Determine Wether F(x)=x^3 +5x+1 Is An Even Function

Answers

Answer 1

Answer: second option.

Step-by-step explanation:

By definition, a function is even when:

[tex]f(x) = f(-x)[/tex]

Then, knowing this, given the function [tex]f(x)=x^3 +5x+1[/tex] you can substitute [tex]-x[/tex] into this function:

[tex]f(-x)=(-x)^3 +5(-x)+1[/tex]

Now you need to simplify the function. Then you get:

 [tex]f(-x)=-x^3 -5x+1[/tex]

In this case, you can see that:

 [tex]f(x)\neq f(-x)[/tex]

Therefore, the function [tex]f(x)=x^3 +5x+1[/tex] is not even.

As you observed in the procedure above, the statement that best describes how to determine whether the given function is even is:

Determine is [tex](-x)^3 +5(-x)+1[/tex] is equivalent to [tex]x^3 +5x+1[/tex]


Related Questions

During a certain day, a worker made 81 parts. He usually does 45 parts per day. What was the percent by which he increased the number of parts he usually makes?

Answers

Answer:

The answer is 80%.

Step-by-step explanation:

During a certain day, a worker made 81 parts.

He usually does 45 parts per day.

Number of extra parts made = [tex]81-45=36[/tex]

The percent by which he increased the number of parts he usually makes can be given as = [tex]\frac{36}{45}\times100[/tex] = 80%

Therefore, on that day, the percent increased by 80%.

Answer:

Increase by 80%

Step-by-step explanation:

45 : 100%

81 : y

[tex]\frac{81}{45} :\frac{y}{100}[/tex]

y × 45 = 81 × 100

45y = 8100

45y ÷ 45 = 8100 ÷ 45

y = 180

180% - 100% = 80%

Increase by 80%

Graph the liner equation. Find three points that solve the equation then plot on the graph -5x-3y=-7

Answers

Answer:

Step-by-step explanation:

-5x - 3y= -7

+5x        +5x

-3y= 5x -7

------   ------

-3         -3

y=-5/3x + 7/3

what is 25^3k=625 using solving exponential equations will give brainly​

Answers

Answer:

k= 2/3 2 over 3.

or 0.60%

Step-by-step explanation:

Answer:

0.04 or 1/25

Step-by-step explanation:

Note that 25^3  = 15625.

Then 15625k = 625.

Solve for k using division:

k =  625 / 15625 = 0.04

Note that we could also do the problem in this manner:

25 = 5^2

625 = 5^4

Therefore, 5^4 * k = 5^2

Dividing both sides by 5^4, we get:

         5^2                                          1

k = ------------ = 5^(2-4) = 5^(-2) or ---------- = 1/25 = 0.04 (same as before)

          5^4                                        5^2

Mateo built the skateboard ramp below and filled it with pebbles to make it more stable.


Which stamens are true ??check all that apply.

Answers

Answer:

it is 1,3,and 5

Step-by-step explanation:

Answer:

The statements that are true about the ramp is:

The shape can be broken into a rectangular prism and a triangular prism.Step-by-step explanation:

Clearly from the figure given to us we observe that:

It is made up of a rectangular prism and a right angled triangular prism.Also, if B is the base area of the rectangular prism (i.e. square base) and h is it's height then the volume of the Rectangular prism is:

[tex]Volume=Bh[/tex]

Also, for the triangular prism the base area is halved and hence the base area of triangular prism is: B/2

Hence, the total volume of Triangular prism is: [tex]\dfrac{1}{2}Bh[/tex]

Hence, the total volume of figure is:

[tex]Bh+\dfrac{Bh}{2}[/tex]

Also, we have Base area B=4 square ft. (Since, it is made up of square base with side 2 ft. )

                        and h=4.8 ft.

                       Hence, volume of figure is:

[tex]4\times 4.8+\dfrac{4\times 4.8}{2}\\\\\\28.8 cubic ft.[/tex]

What is the area of the two-dimensional cross section that is parallel to face ABC ?



Enter your answer in the box.

Answers

Check the picture below.

Please help ASAP!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

First, we know that angles 6 and 8 are supplementary.

Therefore m∠6 + m∠8 = 180°

123.5° + m∠8 = 180°

m∠8 = 56.5°

Then, using the alternating exterior angle theorem, we can find that...

m∠8 ≅ m∠1

So m∠1 = 56.5°

the answer to this question is A

an expression is shown. 5x=32 what is the value of x that makes the equation true.​

Answers

Answer:

6.4

Step-by-step explanation:

5x = 32

Divide both sides by 5.

5x/5 = 32/5

x = 6.4

Divide by 5 on both sides.

5x divided by 5 leaves x alone.

32 divided by 5 is 6.4.

6.4 • 5 = 32

X = 6.4

Hope this helps!

PLEASE HELP! URGENT! PLEASE HELPPPPPPPP I NEED IT AS FAST AS POSSIBLE!!! Please!!!!!

Answers

Answer:

Step-by-step explanation:

25,

V=lwh

So 5*5*5

125 in ^3

Compare the algebraically expressed function f(x) = -8x2 + 4x + 2 to the function shown in the graph to determine which statement is true.
A) The algebraic function has a greater maximum value.
B) The algebraic function has a lower minimum value.
C) The graphed function has a greater maximum value.
D) The graphed function has a lower minimum value.

Answers

ANSWER

A) The algebraic function has a greater maximum value.

EXPLANATION

The given function is

[tex]f(x) = - 8 {x}^{2} + 4x + 2[/tex]

This can be rewritten as:

[tex]f(x) = - 8( {x - \frac{1}{4} })^{2} + \frac{5}{2} [/tex]

The maximum value of this function is 2.5

The maximum value of the graph is less that zero.

This means that that the maximum value of the algebraic function is greater than the maximum value of the graph.

Answer:

Option A.

Step-by-step explanation:

Algebraically expressed function is f(x) = -8x² + 4x + 2

As we know in a quadratic equation f(x) = ax² + bx + c, if a is negative then the vertex will be maximum.

and the maximum value will be represented by [tex]c-\frac{b^{2}}{4a}[/tex]

From the given quadratic equation

a = -8

b = 4 and c = 2

Now we place these values in the equation.

Maximum = [tex]2-\frac{4^{2}}{4(-8)}[/tex]

                = 2 + 0.5

                = 2.5

From the graph attached we can easily conclude that vertex of the parabola is less than 0.5

Therefore, algebraic function has the greater maximum value.

Option A. is the answer.  

Please help!!
Find the exact circumference of the circle.

Answers

Answer:

C) 26π mi

Step-by-step explanation:

1. Find the diameter:

24² + 10² = d², because of the pythagorean theorem.

Add: 676 = d²

Square root: 26 = d, no negatives by domain

2. Find the circumference:

C = dπ

Plug in: C = 26π miles

Find the degree of the monomial 13
A. 3
B. 4
C. 1
D. 0

Answers

Answer:

D

Step-by-step explanation:

Note that 13 = 13[tex]x^{0}[/tex] since [tex]a^{0}[/tex] = 1

Then 13 is a monomial of degree 0 → D

The yearly income for an individual with an associate’s degree in 2001 was $53,166 and in 2003 it was $56,970. What is the ratio of the income in 2001 to the income in 2003 in simplest form?










Answers

Answer:

8861 : 9495

Step-by-step explanation:

Ratio of income in 2001 to 2003:

53,166 : 56,970

Then, you can simplify by dividing both sides by 6:

8,861 : 9,495

Can't simplify anymore, Therefore this is the answer!

8861 : 9495

Hope I helped! Have a good day :)

Answer:

[tex]\frac{8861}{9495}[/tex]

Step-by-step explanation:

Income of an individual in 2001 = [tex]\$ 53,166[/tex]

Income of an individual in 2003 = [tex]\$ 56,970[/tex]

Here, we need to find ratio of income in 2001 to the income in 2003 in simplest form .

i.e we need to convert [tex]\frac{\$53,166}{\$ 56,970}[/tex] in simplest form .

A fraction [tex]\frac{a}{b}[/tex] is said to be in simplest form if [tex]HCF(a,b)=1[/tex]

So, we will first find [tex]HCF(53166,56970)[/tex] then divide both numerator and denominator by the HCF .

Here,

[tex]53166=2\times 3\times 8861[/tex]

[tex]56970=2\times 3\times 3\times 3\times 5\times 211[/tex]

So, [tex]HCF(53166,56970)=2\times 3=6[/tex]

On dividing both numerator and denominator by 6 , we get

[tex]\frac{53166}{56970}=\frac{8861}{9495}[/tex]

How do u find out the area.​

Answers

Answer:

66yds^2

Step-by-step explanation:

Use the formula for the area of a triangle.

1/2(b * h)

Plug in the values.

1/2(11 * 12)

1/2(132)

66

Final answer:

To find the area of a shape, you multiply its length by its width. Different shapes have different formulas to calculate their areas, such as rectangles and triangles.

Explanation:

In mathematics, to find the area of a shape or region, you need to know the length and width of that shape. For example, to find the area of a rectangle, you multiply its length by its width. The formula for the area of a rectangle is A = length x width.

For example, if a rectangle has a length of 5 units and a width of 3 units, the area would be 5 x 3 = 15 square units.

If you have a shape that is not a rectangle, you may need to use a different formula. For example, to find the area of a triangle, you can use the formula A = 1/2 x base x height. The base is the length of the bottom side of the triangle, and the height is the distance from the base to the top point of the triangle.

PLEASE PLEASE HELP ME ASAP!!!!!

A. 4

B. 14

C. square root of 52

D. square root of 61

Answers

Answer:

Square Root of 61

Step-by-step explanation:

Square root of 54

^u^

what decimal is equivalent to 8/100

Answers

Answer:

0.08

Please give me brainiest!

Trying to get up a rank <:)

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values:

The fraction number = 8/100

step 2 Write it as a decimal

8/100 = 0.08

0.08 is the decimal representation for 8/100

Answer:

0.08 Is the answer

This table lists the coordinates of points on a line. What is the y-intercept of the line?

x -2 -1 0 1 2 3
y 16 12 8 4 0 -4

Answers

Answer:

The line intercepts the y-axis and [tex]y = 8[/tex]

Step-by-step explanation:

The intersection on the y-axis of a line is found to be [tex]x = 0[/tex].

That is, the intercept with the y-axis is the value of the function when x is equal to zero.

In this case we know the following points of the function:

x  : -2    -1    0    1     2    3

y  : 16    12   8    4    0   -4

Note that when [tex]x = 0[/tex] then [tex]y = 8[/tex].

Therefore the line intercepts the y-axis and [tex]y = 8[/tex]

In certain Algebra 2 class of 29 students, 13 of them play basketball and 7 of them play baseball. There are 4 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

13-4=9 and 7-4=3

9+3=12

So the probability is 12/29

Hi uwu pls help me with math i don't understand :'(


c.) How many applications will your mother actually use on her new cell phone? Solve the equation you wrote in part b to find the unknown variable.



((part B is right here, but no need to answer it K: Your mother has a new cell phone. It comes with 18 applications already installed. She uses only "2" /"3" of those applications. She downloaded an additional 12 applications that she uses regularly. Write an equation to represent the total number of applications your mom uses. Explain your equation and your reasoning. answer for part B: 24 applications are what your mom regularly uses. ))

Answers

Answer:

It's 24

Step-by-step explanation:

18 apps already installed

2/3 of 18 is 12

12+12=24

24 applications have been installed.

What is algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Given

18 apps already installed

2/3 of 18 = 12 are used

Additional 12 apps installed

Total = 12+12=24

To know more about algebraic expression refer to :

https://brainly.com/question/718520

#SPJ2

what numbers multiply together to make 1120 but add to be -148

Answers

Answer:

-140 and -8.

Step-by-step explanation:

-140 x -8 = 1,120.-140 + -8 = -148.

These are all of the steps to completely and correctly solve this question.

Hope this helps!!!

Kyle.

Answer:

-8 and -140

Step-by-step explanation:

Let the numbers be x and y.  Then xy = 1120, and x + y = -148.

Solving the first equation for y, we get 1120/x.

Substituting this into the second equation:  x + 1120/x = -148

Multiplying all terms by x removes x from the denominator(s):

x² + 1120 + 148x = 0.

Let's use the quadratic formula to find x.  Here a = 1, b = 148 and c = 1120.

Then the discriminant is b²-4ac, or, in this case, 148²-4(1)(1120) = 17424.  Because this discriminant is positive, we have two real, unequal roots.

They are:

       -148 ± √17424

x = ------------------------ = -8 and -140.

              2

Note that -8 and -140 add up to -148, so that's correct.

(-8)(-140) = 1120, so that also is correct.

Please help , Is it abc or D . I really want to understand this

Answers

Answer:

B

Step-by-step explanation:

The surface area (A) of a sphere is

A = 4πr² ← r is the radius which we require

Given A = 2500π, then

4πr² = 2500π ( divide both sides by 4π )

r² = 625 ( take the square root of both sides )

r = 25

The volume (V) of a sphere is

V = [tex]\frac{4}{3}[/tex]πr³, and

[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex]r³ = [tex]\frac{4}{3}[/tex] × 25³ , thus

[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex] × 15625 ≈ 20833.33.. → B

Let n = 14.

What is the value of y in the equation y = 2 × n + 3?

Answers

[tex]

n=14 \\

y=2\times n +3=2\times14+3 \\

y=24+3\Longrightarrow y=\boxed{27}

[/tex]

Which of the following statements is true ?

Answers

both √25 and -√16 are rational

Dividing polynomials using long division:
(9x^2-38x-31)/(x-5)

Answers

Answer:

the answer is 9x+7+ 4/x−5

Step-by-step explanation:

Someone please explain (:

Answers

Answer:

a.) 1.38 seconds

b.) 17.59ft

Step-by-step explanation:

h(t) = -16t^2 + 22.08t + 6

if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.

to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex

-b/2a

b=22.08

a=-16

-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds

now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.

h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.

approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.

for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.

Answer:

a) [tex]h(t)=-16(t-0.69)^2)+13.62[/tex]

b)The maximum height is 13.62 feet.

c) 1.84 seconds

Step-by-step explanation:

The function that models the height in feet of the hammer above the ground is

[tex]h(t)=-16t^2+22.08t+6[/tex]

Factor  -16 as shown;

[tex]h(t)=-16(t^2-1.38t)+6[/tex]

Add and subtract  the square of half the coefficient of t.

[tex]h(t)=-16(t^2-1.38t+(-0.69)^2)--16(-0.69)^2+6[/tex]

[tex]h(t)=-16(t^2-1.38t+(-0.69)^2)--16(-0.69)^2+6[/tex]

Rewrite the first three terms as a perfect square trinomial;

[tex]h(t)=-16(t-0.69)^2)+13.62[/tex]

This function is now in the form;

[tex]h(t)=a(t-h)^2)+k[/tex]

where (h,k)=(0.69,13.62)

This implies that; the hammer reached its maximum height at t=0.69 seconds.

b) The maximum height is the y-value of the vertex.

The maximum height is 13.62 feet.

c) To answer this question we need to find the difference between the  x-intercepts.

[tex]h(t)=-16t^2+22.08t+6[/tex]

a=-16,b=22.08,c=6

[tex]t_2-t_1=\sqrt{(t_1+t_2)^2-4t_1t_2}[/tex]

[tex]t_2-t_1=\sqrt{(\frac{-b}{a})^2-4(\frac{c}{a})}[/tex]

[tex]t_2-t_1=\sqrt{(\frac{-22}{-16})^2-4(\frac{-6}{-16})  }=1.84[/tex]

Hence the hammer was in the air for 1.84 seconds

What is p(t)=-log_10(t)^.5 in exponential form

Answers

Answer:

[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

Step-by-step explanation:

Given equation is [tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]

Now question says to write that in exponential form.

So we can use the following conversion formula:

[tex]\log_ca=b\ \Rightarrow c^b=a[/tex]

[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]

[tex]-p\left(t\right)=\log_{10}t^\left(0.5\right)[/tex]

[tex]\log_{10}t^\left(0.5\right)=-p\left(t\right)[/tex]

Apply conversion formula

[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)\ \Rightarrow 10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

how much warmer is 82 than -40

Answers

Answer: The difference between 82 and -40 is 122.

Step-by-step explanation:

Final answer:

To find out how much warmer 82 degrees is than -40 degrees, you add 40 to 82, which totals 122 degrees.

Explanation:

To determine how much warmer 82 degrees is compared to -40 degrees, we simply calculate the difference between the two temperatures. This is a simple calculation where we subtract the lower temperature from the higher temperature.

The calculation would be: 82 - (-40) = 82 + 40 = 122 degrees.

So, 82 degrees is 122 degrees warmer than -40 degrees. Note that this calculation assumes that the temperatures are measured on the same scale, which is typically Fahrenheit in the context of weather temperature changes in the United States.

You are paid $82.50 for 712 hours of work. What is your rate of pay?


Answers

Answer:

If it's 7 1/2 hours, then the answer is $11 dollars an hour.

Answer:

$11 dollars an hour.

Step-by-step explanation:

ASAP!!! PLEASEEE!!!

A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts 100 bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 240 bacteria. Assuming exponential growth, what is the equation to determine the number of bacteria after t hours?

A) y=100(240)^t

B) y=100(1.681)^t

C) y=100(2.4)^t

D) y=100(1.157^t

Answers

Answer:

the correct answer would be A

Step-by-step explanation:

100 is the independent variable and 240 is the dependent variable think about is like interest rate

Please need help on this

Answers

Answer:

SAS Similarity Theorem

Step-by-step explanation:

Google SAS Similarity Theorem for explanation.

The prism below is made of cubes which measure of a foot on one side. What is the volume?

A. 12 cubic ft.

B. 4/3 cubic ft.

C. 10/3 cubic ft.

D. 36 cubic ft.

Answers

Answer:

the answer is B.  4/3 cubic ft.

Step-by-step explanation:

use the formula

V = LWH

using 1/3 for each calculation

length = 3 (1/3 ft)

width = 4 (1/3 ft)

height = 3 (1/3 ft)

then you substitute those dimension

V = (3/3 ft.) (4/3 ft.) (3/3 ft.)

V = (1 ft.) (4/3 ft.) (1 ft.)

V = 4/3 cubic ft

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