Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?
CU
O Determine whether –x2 - (-x) + 8 is equivalent to x2 – X + 8.
Determine whether (-x)2 – (-x) + 8 is equivalent to x2 – X + 8.
O Determine whether -x2 - (-x) + 8 is equivalent to -(x2 - X + 8).
O Determine whether (-x)2 – (-x) + 8 is equivalent to -(x2 – X + 8).

THIS IS 60 POINTS BTW

Which Statement Best Describes How To Determine Whether F(x) = X2 - X + 8 Is An Even Function?CUO Determine

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

If f(x) is an even function , then

f(x) = f(- x)

f(x) = x² - x + 8

f(- x) = (- x)² - (- x) + 8 = x² + x + 8

Since f(x) ≠ f(- x) then f(x) is not an even function


Related Questions

Which sequence of transformations produces R’S’T’ from RST?

On a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, 0), (0, negative 3), (negative 1, negative 1).
a 90degree clockwise rotation about the origin and then a translation 2 units left
a 90degree counterclockwise rotation about the origin and then a translation 2 units right
a translation 2 units left and then a reflection over the y-axis
a translation 2 units right and then a reflection over the x-axis

Answers

Answer:

A translation 2 units right and then a reflection over the x-axis

Step-by-step explanation:

The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)

The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)

The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST

A translation of ΔRST 2 units right gives;

(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;

(2, 0), (0, 3), and (-1, 1)

A reflection of the point (x, y) across the x-axis gives (x, -y)

A reflection of the above points across the x-axis gives;

(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1)  reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'

Therefore, the sequence of transformations that produces R'S'T' from RST are;

A translation 2 units right and then a reflection over the x-axis

Answer:

D

Step-by-step explanation:

Took quiz

PLEASE HELP!

Simplify.

x^2-3x-10/x+3/2x^2-7x-15/x^2-9

Answers

Answer:

3rd option, x^2-x-6/2x+3

The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]

Simplify the expression, then we have

⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]

⇒ [(x² - 3x - 10) (x² - 3²)] / [(2x² - 7x - 15) (x + 3)]

⇒ [(x² - 5x + 2x - 10) (x - 3)(x + 3)] / [(2x² - 10x + 3x - 15) (x + 3)]

⇒ [(x - 5)(x + 2)(x - 3)] / [(2x + 3)(x -  5)]

⇒ [(x + 2)(x - 3)] / (2x + 3)

⇒ (x² - x - 6) / (2x + 3)

The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

tìm x biết
x/7=6/-21

Answers

Answer:

x = - 2

Step-by-step explanation:

Given

[tex]\frac{x}{7}[/tex] = [tex]\frac{6}{-21}[/tex] ( cross- multiply )

- 21x = 42 ( divide both sides by - 21 )

x = - 2

The radius of a circle is 14cm. Find the radius of the circle whose area is double of the area of circle. ​

Answers

Answer:

14√2 cm

Step-by-step explanation:

Area of circle equation:

A = πr²

Let the radius of bigger circle is x.

We have:

π(14²)*2 = πx²

Solve for x:

x² = 2(14²)x = √2(14²)x = 14√2 cm

19.8cm

Step-by-step explanation:

First find area of small circle:

A = πr2

A = 22/7 x 14 x 14

A = 22 x 2 x 14

A = 616cm2

Area of bigger circle is double that of the small circle:

= 616 x 2

= 1,232 cm2

πR2 = A

22/7 x r2 = 1,232

r2 = (1,232 x 7) ÷ 22

r2 = 8624 ÷ 22

[tex] \sqrt{r ^{2} } = \sqrt{392} [/tex]

radius of bigger circle = 19.8cm

Find the area of a regular
polygon with 7 sides that has a
perimeter of 63 inches and an
apothem of 8 inches.

Answers

Answer:

The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.

The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.

Then the area is

A = (1/2)(8)(42) = 336/2 = 168 in2

I hope this helped!

Charlotte needs at least 60 signatures from students in school so that she can run for student government president. She already has 12 signatures. She and her three friends plan to get the remaining signatures during gym.
If each person gets the same number of signatures, which inequality can Charlotte use to determine the minimum number of signatures each person should get so he/she can run for student government president?

Answers

If she already has 12 signatures: 60 - 12 = 48

48/3 = 16

so, she and her friends need at least 16 signatures each.

p being person;

p [tex]\geq[/tex] 16 (p has to be greater or equal than 16)

What is the range of function represented by the graph below?

Answers

Answer:

y ≥ 0

Step-by-step explanation:

The range of the function is the output values.

The y value goes from 0 to infinity

y ≥ 0

8 . In which step does a mistake first occur?
(24+3 + 10)-14 + 2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4 +2
Step 4: 2

Answers

Answer:

Step 1

Step-by-step explanation:

Concepts:

When solving any expression or equation, we must go through the order of operations. The order of operations is a set of rules that tell us which operation we must do first. The set of rules is often represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.

Solving:

Let's go through the order of operations to solve the expression, so we can see the mistake in the steps.

(24 + 3 + 10) - 14 + 2

1. Add 24 and 3 together

(24 + 3 + 10) - 14 + 2(27 + 10) - 14 + 2

2. Add 27 and 10 together

(27 + 10) - 14 + 2(37) - 14 + 237 - 14 + 2

3. Subtract 14 from 37

37 - 14 + 223 + 2

4. Add 23 and 2 together

23 + 225

Now, let's compare these steps to the ones given.

There's a mistake in Step 1 because 24 and 3 was divided instead of added; 24 + 3 = 27, not 8.

Find the interior angle sum for the following polygon

Answers

Answer:

360/ 5 is the answer

Step-by-step explanation:

follow me and please follow me

6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?

Answers

Answer: -1

Step-by-step explanation:

Look at the patter it has

Write 9cm to 1m as a ratio

Answers

Answer:

1m=100cm

9:100

hope this helps

Answer:

9/100

Step-by-step explanation:

how many cm in a meter ?

100

so, 9 cm are 9 of 100 or 9/100

Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)

Answers

Answer:

y = 11/5x - 32/5

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 9 / 2 - 7

-11 / -5

= 11/5

y = 11/5x + b

-2 = 11/5(2) + b

-2 = 22/5 + b

-32/5 = b

Can you help with this please and also explain?

Answers

Answer:

avocado=4

Step-by-step explanation:

Hi there!

We are given the following equations:

snail + snail - cellphone=avocado

maple leaf  * cellphone=10

0+maple leaf=5

snail = cellphone + 1

avocado=?

This may seem confusing at first, but let's try to find the value of one of the items to help us to solve for the others

For example, we have the equation 0 + maple leaf= 5

Which means if we subtract 0 from both sides, we should get the value of the maple leaf

Which means that the maple leaf= 5

Now we know that maple leaf * cellphone = 10

So that means 5*cellphone=10

Divide by 5 on both sides

cellphone= 2

We know that snail = cellphone + 1

As we learned from above, cellphone= 2

Which means that snail = 2+1=3

We know that snail + snail - cellphone = avocado

And as calculated from above, snail = 3 and cellphone = 2

Which means:

3 + 3 - 2= avocado

Add

6-2=avocado

Subtract

4=avocado

Hope this helps!

Given point (-6, -3) and a slope of 4, write an equation in point-slope form.

Answers

Answer:

C

Step-by-step explanation:

On a coordinate plane, a curved line with a minimum value of (1.5, negative 1) and a maximum value of (negative 1.5, 13), crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 6).
Which lists all of the x-intercepts of the graphed function?

(0, 6)
(1, 0) and (2, 0)
(1, 0), (2, 0), and (–3, 0)
(1, 0), (2, 0), (–3, 0), and (0, 6)

Answers

Answer:

Third option: (1, 0), (2, 0), and (–3, 0)

Step-by-step explanation:

The x-intercepts are the points at which the graph of the function crosses the x-axis.

By reading the question, we can see that:

"... crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0)..."

So the x-intercepts are:

(-3, 0)

(1, 0)

(2,  0)

Then the correct option is the third one:

"(1, 0), (2, 0), and (–3, 0)"

Answer: Option 3

Step-by-step explanation: Got it right on Edge

Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x - 3 (pls answer)

Answers

consindering the equation ""yvariable m is the intercept ,,c constant

therefore from the equation by comparing...=mx+c where y

What is the equation of the graph

Answers

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

In a survey, 60 people were asked:



Here are the results.



Complete the table below with the view of drawing a pie chart.

Type of newspaper Angle (in )
Morning newspaper
Evening newspaper
No newspaper

Answers

The correct Answer is B Morning Newspaper

Simplify the expression:
4m + 5 - 3m

Answers

Answer:

m+5

Step-by-step explanation:

4m + 5 - 3m

Combine like terms

4m-3m  +5

m+5

Answer:

This equation simplified is [tex]m+5[/tex]

Step-by-step explanation:

To simplify this expression subtract 3m from 4m to get 1m or m.

List the first five multiples of 6.

a )

List the first five multiples of 9.

b )

What is the Lowest Common Multiple of 6 and 9?

c)

Answers

[tex]\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}[/tex]

a]. The first 5 multiples of 6 are 6, 12, 18, 24, and 30.

b]. The first 5 multiples of 9 are 9, 18, 27, 36, 45.

c]. Least common multiple (LCM) of 6 and 9 is 18.

a=6= 1,2,3,6,12

9=1,3,9,18,27

l.c.m is 1 and 3

Elproducto de dos numeros es 880 si el multiplicando aumenta en 20 elproducto lo hace en 260 de como respuetsa la suma de ambos numeros

Answers

Answer:

[tex]\text {La} \, \text { suma }\, \text {de} \ \text {ambos} \, \text { numeros} \, \text { es }\ 80\dfrac{9}{13}[/tex]

Step-by-step explanation:

Los parámetros dados son;

El producto de los dos números = 880

El producto del multiplicando aumentó por 20 y el otro número = 260 + el producto inicial, 880

Dejemos que x represente el multiplicando, y que y represente el otro número, tenemos;

x × y = 880

(x + 20) × y = 880 + 260

Tenemos;

(x + 20) × y = x × y + 20 × y = 880 + 260

∴ 20 × y = 260

y = 260/20 = 13

y = 13

x = 880 / y

∴ x = 880/13

La suma de ambos números = x + y = 13 + 880/13 = 1049/13 = [tex]80\dfrac{9}{13}[/tex]

HELP its not 64 I keep getting it wrong for some reason :(

instructions find the perimeter of the polygon ​

Answers

Answer:

Step-by-step explanation:

Starting on the left side

5 + 7  = 12

7 + 6  = 13

6 + 11 = 17

11 + 5 = 16

Total = 58

THIS IS SO HARD HELP PLEASE

Answers

Answer:

second one: EFG NML

THIRD: 82°

ILL GIVE A BRAINLISTYY HELP PLS

Answers

Answer:

?

Step-by-step explanation:

Find the area of the shaded region. Round your answer to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

The formula for finding the area of a pentagon(regular) given 1 side is

A = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}\)[/tex]

s (the side) = 12

Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}12^{2}\)[/tex]

Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}144\)[/tex]

Area = sqrt(5(5 + 2*2.2361) * 36

Area = sqrt(5( 5 + 4.4721)) * 36

Area = sqrt(5*9.4721) * 36

Area = sqrt(47.3606) * 36

Area = 6.882 * 36

Area = 247.7485

The area of the circle = pi r*2 but we don't have r.

If you know any trig, the formula for the radius of the circle is

R = s/(2*sin(180)/n)     n = 5 because you are using a 5 sided figure.

R = 12/(2*sin(180/5)

R = 12/2* sin(36)

R = 6 / sin(36)

R = 10.207

So the area of the circle is pi * R^2

Area = 3.14 * 10.2078^2

Area = 327.1854

The area of the shaded part is the difference between the 2 areas we found

Answer: 327.1854 -  247.7485

Answer: 79.44

If (m,2m+1) is a solution of the equation x +3y=7, find the value of m

Answers

Answer: m = 4/7

Step-by-step explanation:

x = m

y = 2m+1

so

x+3y = 7

or, m+3(2m+1) = 7

or, m + 6m+3 = 7

or, 7m = 4

so m = 4/7

Consider the piecewise function shown on the graph. Over which interval of the domain does the graph represent an exponential function?

Answers

I think the answer is c in which graph shown in the above

Answer:

see attached, x>=1

Step-by-step explanation:

Find the perimeter of the sector of a circle of radius 14cm with an angle of 72 degree

Answers

Answer:

the area sector is 123.2

What is the length of BD?

Answers

Answer:

BD = 10 √3

Step-by-step explanation:

ABC ∆ ,

BD ÷ 20 = sin 60

BD = 20 sin 60

BD = (20 √3) / 2

= 10 √3

Which angles are adjacent to each other?

Angle 8 and Angle 5
Angle 4 and Angle 6
Angle 5 and Angle 3
Angle 11 and Angle 8​

Answers

Answer:

Angle 8 and angle 5 are the adjacent to each other

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