Is the function is even, odd or neither? How do you know?

Is The Function Is Even, Odd Or Neither? How Do You Know?

Answers

Answer 1

Answer:

Step-by-step explanation:

A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?

From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]

Since the equation is known, try the formulas

First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true

[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]

This means that the function is even.


Related Questions

find the mean absolute deviation of the data below:

7,4,7,7,2,10,12,8,7,5

Answers

Answer:

1.9

Step by step answer

step1 finding the mean

(7+4+7+7+2+10+12+8+7+5)/10 = 6.9

step2 Difference between each data

Difference between 7 and 6.9 is 0.1

Difference between 4 and 6.9 is 2.9

Difference between 7 and 6.9 is 0.1

Difference between 7 and 6.9 is 0.1

Difference between 2 and 6.9 is 4.9

Difference between 10 and 6.9 is 3.1

Difference between 12 and 6.9 is 5.1

Difference between 8 and 6.9 is 1.1

Difference between 7 and 6.9 is 0.1

Difference between 5 and 6.9 is 1.9

step3 add all the Difference

0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4

step4 divde it by n

19.4/10 = 1.9

so the answer is 1.9

A rectangle has a length of 9 m and a width of 5 m. What is its perimeter?

14 m

40 m

28 m

26 m please help me

Answers

given:

9 m length and 5m width.

to find:

perimeter

solution:

perimeter of rectangle= l+l+b+b

= 9+9+5+5

= 28m

Can someone help me please, its for plato algebra 2-1

Answers

Answer:

5

Step-by-step explanation:

Simplification:

[tex]\sqrt{2^3-7} + |-4|[/tex]

[tex]\sqrt{1} + 4[/tex]

1 + 4

5

You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?

Answers

Answer:

2.3% is the percentage of the Salary

Step-by-step explanation:

PLS HELPPPPPPP
A, B and C line up randomly to buy tickets. Find the probability that A is beside C in the queue

Answers

Answer:

Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}

= 6

Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}

=4

P( A is besides C)= 4/6

= 2/3

MARK ME AS BRAINLIST

Let A={1,2,3,4,5} and B={2,4} what is AnB

Answers

Answer:

AnB = { 2,4}

Step-by-step explanation:

A={1,2,3,4,5} and B={2,4}

AnB  means A intersect B or what is common to both A and B

AnB = { 2,4}

If the two acute angles of a right triangle are congruent, then what is the measure of each acute angle?

Answers

each one is equal to 90°/2 = 45°

PLEASEEEE HELLPPPP!!!!!!!!!!!!!!!!

Answers

164+x=180
180-165=x
X=15

What is the distance between points (8,3) and (53,31) on a coordinate plane?

Answers

Answer:

53 units

Step-by-step explanation:

Let [tex](x_1,y_1)\rightarrow(8,3)[/tex] and [tex](x_2,y_2)\rightarrow(53,31)[/tex] to use the distance formula:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(31-3)^2+(53-8)^2}\\\\d=\sqrt{(28)^2+(45)^2}\\\\d=\sqrt{784+2025}\\\\d=\sqrt{2809}\\\\d=53[/tex]

Thus, the distance between the two points is 53 units

HELP HELP I GIVE BRANLISEST

Answers

Area of triangle:-

1/2(6)(12)6(6)=36cm²

Area of rectangle (Including semicircle)

12(21)252cm²

Area of semicircle

πr²/2π(6)²/218πcm²56.52cm²

TOTAL area:-

36+252-56.52288-56.52231.48cm²

Answer:

231.48 cm²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.

Area of the rectangle:

= 12 x 21

= 252 cm²

Area of the semicircle:

= 1/2 π(12 ÷ 2)²

= 1/2 · 3.14 · 6²

= 1/2 · 3.14 · 36

= 56.52 cm²

Area of the triangle:

= 1/2 x 6 x 12

= 36 cm²

Shaded area:

= area of rectangle - area of semicircle + area of triangle

= 252 - 56.52 + 36

= 194.48 + 36

= 231.48 cm²

44 is the sum of 14 and Rick's savings.​

Answers

30 ricks savings is 30

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

Definition of Pythagorean Theorem: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides

     (look at the diagram attached for a better understanding)

Information Given:

length of the two legs: 5, 9

Information Wanted:

length of hypotenuse

Solve:

   [tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are exactly that.
See picture for full problem. Please and thank you so very much.

Answers

Answer:

50 degrees

Step-by-step explanation:

the attached photo might help

f(x)= -2x^2
what is the vertex of this and/or how do you find the vertex??​

Answers

Answer:

(0,0)

Step-by-step explanation:

x value of vertex = -b/2a

ax^2+bx+c

-2x^2+0x+0 sinc you have no value of b & c in your quadratic function

-b = 0

2a = (2)(-2)

-b/2a = (0/-4) = 0

x value of the vertex = 0

plug 0 in for all values of x in the function to find y coordinate value

-2(0)^2 = 0

(x,y) = (0,0)

From a point, 50 feet from the base of a building, the angle of elevation from ground level to the top of the building is 66°. find the height of the building to the nearest hundredth of a foot

Answers

Answer:

  112.30 ft

Step-by-step explanation:

The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...

  Tan = Opposite/Adjacent

  tan(66°) = height/(50 ft)

Solving for the height gives ...

  height = (50 ft)tan(66°) ≈ 112.30 ft

The height of the building is about 112.30 feet.

There are 1,000 balls in a container. All of the balls are the same size and shape. In the container, there are 400 red balls; 250 orange balls; 100 green balls; and 250 yellow balls. A student will pick one ball at random from the container. What are the probabilities that the student will pick a ball that is either red, orange, or green? Select the three correct probabilities.

A) Red = 1/4

B) Red = 0. 4

C) Orange = 1/4

D) Orange = 0. 4

E) Green = 0. 1%

F) Green = 10%

Answers

Red = 400/1000 = 0.4
Orange = 250/1000 = 1/4 [0.25]
Green = 100/1000 = 10%

PLEASE HELP
What is the product of (-a + 3)(a + 4)?
A. - a2 - a - 12
B. a2 - a + 12
C. - a2 - a + 12
D. a2 - a - 12

Answers

Answer:

-a^2-a+12

Step-by-step explanation:

Answer:

Option C.

[tex]-a^{2}-a+12[/tex]

Step-by-step explanation:

1.  Distributive multiply

[tex]-a*(a+4)+3*(a+4)[/tex]

2.  Distributive multiply

[tex]-a*a-a*4+3*(a+4)[/tex]

3.  Multiply terms to exponential form

[tex](-1) *a^{2}-a*4+3*(a+4)[/tex]

4.  Multiply constants

[tex]-a^{2}-4*a+3*(a+4)[/tex]

5.  Distributive multiply

[tex]-a^{2}-4a+(3*a+3*4)[/tex]

6.  Multiply constants

[tex]-a^{2}-4a+(3a+12)[/tex]

7.  Reorder terms

[tex]-a^{2} -4a+(12+3a)[/tex]

8.  Add terms

[tex]-a^{2}-a+12[/tex]

Fifteen is 3/8 of what number

Answers

Given ↓Fifteen is 3/8 of what number?

To Find ↓Fifteen is 3/8 of what number?Calculations ↓

Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓

15=3/8x (let x be the number)

Multiply by 8 on both sides to get rid of the fraction :

15*8=3x

120=3x

divide by 40 on both sides ↓

40=x

So 15 is 3/8 of 40.

hope helpful ~

What is the form of the Difference of Squares identity?
A. a^2 + b^2=(a - b)(a - b)
B. a^2- b^2 = (a+b)(a - b)
C. a^2 - b^2 = (a - b)(a - b)
D. a^2- b^2 = (a+b)(a + b)

Answers

The answer is B

seeing there are 3 way to put it

(a+b)(a-b)=a 2-b 2

(a+b)(a-b)=a^2-b^2

(a+b)(a-b)=a2-b2

and option B matches with the second way to put it i hope this helps

-2x+4y=28
-3x +2y = 6
Solve for x

Answers

Answer:

x=4, y=9

Step-by-step explanation:

Solve with substitution.

An equation is shown below: 3(2x − 7) = 9

Part A: How many solutions does this equation have?

Part B: What are the solutions to this equation? Show your work.

Answers

Answer:

1 solution

Step-by-step explanation:

3(2x-7)=9

dustribute: (3)(2)+(3)(-7x)=9

6+-21x=9

subtract 6 from both sides: -21x=3

Divide both sides by -21: x=-1/7

so your 1 solution is x = - 1/7

whats -2( 20x + 2) = -36

Answers

Answer:

[tex]x= \dfrac 45[/tex]

Step by step explanation:

[tex]-2(20x+2) = -36\\\\\implies 20x +2 = \dfrac{-36}{-2} = 18\\\\\implies 20x = 18 - 2=16\\\\\implies x = \dfrac{16}{20}=\dfrac{4}5[/tex]

A repairman charges a flat fee of $50 to come to a customer's house, plus a charge per hour for any work completed. The repairman charged a customer $154 after 4 hours of work. Which function will calculate the cost of the repairman after x hours of work?​

Answers

Answer:

50 - 4x = 154;

Step-by-step explanation:

50 - 4x = 154

154 - 50 = 104

104 / 4 = 26

x = 26

help please find x and y, 10 points and brainliest to best answer

Answers

Answer:

y =8

x=80

Step-by-step explanation:

5y-10=3y+6

5y-3y=6+10

2y =16

y=8

x+30+x-10=180

2x+20=180

2x=160

x=80

I know it's not A. I need help please​

Answers

Answer:

139 degrees

Step-by-step explanation:

The sum of the interior angles of a polygon :

sum = ( n-2) * 180      where n = number of sides

For this one there are 5 sides

    so  ( 5-2) * 180 = 540 degrees

angle U = 90 degrees

90  + 82  + Y  + 121 + 108 = 540         Y=139  degrees

Answer:

It is C. 139

Step-by-step explanation:

Angles of TVXXYZ is 720 degrees. We know that angles Z, W and X are 82 degrees, 108 degrees and 121 degrees (311 degrees after adding them). T= 180-28=152 degrees

V=90+28=118 degrees

152+118=270 degrees

270+311=581

720-581=139 degrees

The answer is C. 139 degrees

Please help Will give BRAINLIEST !!! :)

Answers

Answer:

D no. is for sure another I also don't know. So sorry.......

I need this ASAP!!!!!

Answers

Answer:

7/5 y intercept 1

Step-by-step explanation

Answer:

B: slope 5/7 Y-intercept is 1

Step-by-step explanation:

To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.

The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.

the Y intercept is 1 because on the vertical line the line passes through 0,1.

HEL PLS ITS MY HOMEWORK AND I REALLY NEED HELP

Answers

Answer and explanation:

Take the area formula:

A = L * W

Then manipulate it to fit the context of which unknown you are finding:

Problem 1

[tex]\dfrac{36 = 4 * W}{4}[/tex]

[tex]9 = W[/tex]

So, the length of side c is 9 mm.

Problem 2

[tex]\dfrac{21 = W * 21}{21}[/tex]

[tex]1 = W[/tex]

So, the length of side a is 1 m.

Problem 3

[tex]\dfrac{49 = 7 * W}{7}[/tex]

[tex]7=W[/tex]

So, the length of side t is 7 cm.

multiply (x-3)(x-6) with steps please

Answers

Expanda el polinomio usando el método FOIL.
x
2

9
x
+
18
x
2
-
9
x
+
18

solve for x: 4x+1/2(2x+4) >12

Answers

Answer: x>2

Step-by-step explanation:

[tex]4x+\frac{1}{2} (2x+4) > 12[/tex]

Step 1: Simplify both sides of the inequality through the Distributive Property

[tex]4x+\frac{1}{2} (2x+4) > 12\\4x+(\frac{1}{2})(2x)+(\frac{1}{2})(4) > 12\\4x+x+2 > 12\\5x+2 > 12[/tex]

Step 2: Subtract 2 from both sides to isolate x

[tex]5x+2-2 > 12-2\\5x > 10[/tex]

Step 3: Divide both sides by 5 to full isolate x

[tex]\frac{5x}{5} > \frac{10}{5} \\x > 2[/tex]

Answer:

[tex]x > 2[/tex]

Step-by-step explanation:

[tex]4x+\frac{1}{2}(2x+4) > 12 < ==multiply\ the\ \#s\ in\ the\ parenthesis\ first\ using\ \frac{1}{2}\\\\4x+x+2 > 12 < ==combine\ any\ like\ terms\\\\5x+2 > 12 < ==subtract\ 2\ from\ both\ sides\\-2 \ \ \ \ \ -2\\\\5x > 10 < ==divide\ both\ sides\ by\ 5\\/5 \ \ \ \ /5\\\\x > 2[/tex]

This means that x can be any value that is greater than 2.

Hope this helps!

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