What is the additive inverse of the polynomial? –6x3 + 4x2 – 4x

Answers

Answer 1

Answer:

6x³ - 4x² + 4x

Step-by-step explanation:

The additive inverse is the value added to make the expression equal to zero.

Given

- 6x³ + 4x² - 4x , then the additive inverse is

- ( - 6x³ + 4x² - 4x)

= 6x³ - 4x² + 4x

Answer 2

The additive inverse of the polynomial is 6x³ - 4x² + 4x.

What is a Polynomial?They are the algebraic expressions containing constants and indeterminates.The variable part contains exponent which is a whole number.

Given: Polynomial

-6x³ + 4x² - 4x

Additive inverse of the polynomial is the polynomial when added to the original polynomial gives the sum zero.

Let, the additive inverse of the given polynomial be P.

⇒ P + -6x³ + 4x² - 4x = 0

P = 6x³ - 4x² + 4x

Therefore, the additive inverse of the given polynomial is 6x³ - 4x² + 4x.

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Related Questions

Which of the following ratios is proportional to 8 adults: 6 children?

4 adults:3 children
3 adults:4 children
10 adults:5 children
12 adults:10 children

Answers

Answer:

12 adults:10 children

Step-by-step explanation:

i don't know how i got it i just know it because i had this exact same question before and i guessed and this was the correct answer :|

Answer:

12 Adults 10 Children

is correct

145 is what percent of 620

Answers

Hello There!

145 is 23.39% of 620

HOW TO SOLVE

Equation: Y = P% * X

We need to solve our equation for "P"

P% = Y/X

P% = 145/620

p = 0.2339

Convert decimal to percent:

Percent = 0.2339 * 100 = 23.39%

Aaron bought a new television that has a 92 in. 76 in. screen. It has a feature that splits the screen to allow him to watch 4 channels at once. What is the scale factor and size for each channel when this feature is turned on? (SHOW WORK)

Answers

Answer:

The scale factor is equal to 1/2

The dimensions of each channel when splits the screen is 46 in x 38 in

Step-by-step explanation:

we know that

The dimensions of the new television is 92 in x 76 in

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

A1 -----> the area of the new television

A2 ----> the area of each channel when splits the screen

z-----> the scale factor

[tex]z^{2} =\frac{A2}{A1}[/tex]

we have that

The area of the new television is 4 times the area of each channel

[tex]A1=4A2[/tex]

[tex](A2/A1)=1/4[/tex]

[tex]z^{2} =\frac{1}{4}[/tex]

[tex]z=\frac{1}{2}[/tex] -----> the scale factor

so

When splits the screen, the dimension of each channel is equal to

92/2 in x 76/2 in

so

46 in x 38 in

Remember, if two figures are similar then the scale factor is equal to the ratio of their corresponding sides

Verify the value of the scale factor

92/46=1/2

or

76/38=1/2

What is the rate of change of y with respect to x for this function?

Answers

bearing in mind that the average rate of change = slope, and for that we can simply use two points off the table.

[tex]\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} -2&12\\ 0&3\\ 3&-10.5\\ 7&-28.5\\ \cline{1-2} \end{array}\qquad \qquad \begin{array}{llll} (\stackrel{x_1}{-2}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-10.5}) \\\\\\ slope \implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-10.5-12}{3-(-2)} \\\\\\ \cfrac{-10.5-12}{3+2}\implies \cfrac{-22.5}{5}\implies -\cfrac{4.5}{1}\implies -4.5 \end{array}[/tex]

The rate of change of y with respect to x for the given function with coordinates expressed in the table is; dy/dx = -9/2

The rate of change of y with respect to x for a given linear function is simply the slope expressed as;

dy/dx = (y2 - y1)/(x2 - x1)

Let us take the first 2 coordinates which are;

(-2, 12) and (0, 3)

Thus;

dy/dx = (3 - 12)/(0 - (-2))

dy/dx = -9/2

Or dy/dx = -4.5

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Rectangle ABCD is dilated by a scale factor of 3 with the center dilation at (0,0). What is the area, in square units, of resulting dilated rectangle A’B’C’D’

Answers

Answer:

216

Step-by-step explanation:

The area dilation ratio is the square of the length dilation ratio

The area of the original  rectangle is 6*4=24

the length dilation ratio is 1:3

the area dilation ratio would be 1:3² which is 1:9

The resulted area=24*9

=216


Find the greatest common factor of the
following monomials:
15x4y6 6x5y?
12x3, 4

Answers

1. The monomials are:

[tex]15 {x}^{4} {y}^{6} = 3 \times 5 {x}^{4} {y}^{6} [/tex]

and

[tex]6 {x}^{5} {y} = 2 \times 3 {x}^{5} y[/tex]

The highest common factor is the product of the least powers of the common factors.

The HCF is

[tex]3 {x}^{4} y[/tex]

2. The monomials are:

[tex]12 {x}^{3} = {2}^{2} \times 3 {x}^{3}[/tex]

[tex]4 = {2}^{2} [/tex]

The HCF is

[tex]{2}^{2} = 4[/tex]


If f(x) = 5x^3 and g(x) = x+1, find (f•g)(x).
A. 5x^4+1
B. 5x^3+1
C. 5x^4+5x^3
D. 6x^3

Answers

If f(x) = 5x^3 and g(x) = x+1, find (f•g)(x).

Note: (f•g)(x) means f(x) times g(x).

(f•g)(x) = (5x^3)(x + 1)

(f•g)(x) = 5x^4 + 5x^3

Answer: Choice C

Points that lie on the same line are sold to be
collinear
Horizontal
ordered

Answers

The answer will be Collinear Points!

Answer: b,c,e or 2,3,5

Step-by-step explanation:

what the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.

Answers

Answer: ≈ 1.414

Step-by-step explanation:

You can use the pythagorean theorem, a^2 + b^2 = c^2

a^2 and b^2 are the legs and c^2 is the hypotenuse.

1^2 + 1^2 = c^2

1 + 1 = c^2

2 = c^2

√ 2 = √ c^2

c = ≈ 1.414

Which is the point-slope form of an equation for the line that passes through (0, –5) with slope 2?

Question 3 options:

a)

y = 2x – 5


b)

y – 5 = x – 2


c)

y + 5 = 2x


d)

y = 2(x + 5)

Answers

Answer:

c) y + 5 = 2x

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y = m(x - x), all the negative symbols give the OPPOSITE term of what they really are.

A walking path across a park is represented by the equation y=-2x+5. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-2,9). Identify the equation that represents the new path.
A. y= {x+10
B. y= -2x - 5
C. y= 2x+13
D. y -- 1x+8

Answers

Answer:

[tex]y = \frac{1}{2}x+10[/tex]

Step-by-step explanation:

The given path is:

y = -2x+5

Comparing with the standard form of equation:

y = mx+b

So,

m = -2

We know that product of slopes of two perpendicular lines is -1

Let m1 be the slope of the perpendicular line

m*m1=-1

-2*m1 = -1

m1 = -1/-2

m1 = 1/2

So the slope of perpendicular path is 1/2.

Since the new path passes through (-2,9)

[tex]9 = \frac{1}{2}(-2) +b\\9 = -1 +b\\b = 10[/tex]

Putting the values of m and b in standard form

[tex]y = \frac{1}{2}x+10[/tex]

Hence the equation of new path is:

[tex]y = \frac{1}{2}x+10[/tex] ..

Write the first five terms of the arithmetic sequence whose first term is 5 and whose common difference is 6.

Answers

Answer:

5, 11,17,23,29

Step-by-step explanation:

To obtain the term in the sequence add the common difference to the previous term, that is

a(1) = 5

a(2) = 5 + 6 = 11

a(3) = 11 + 6 = 17

a(4) = 17 + 6 = 23

a(5) = 23 + 6 = 29

The first five terms of an arithmetic sequence starting with 5 and a common difference of 6 are 5, 11, 17, 23, and 29.

The first five terms of the arithmetic sequence with the first term 5 and a common difference of 6 can be found by successively adding the common difference to the previous term.

Third term (a3) = a2 + 6 = 11 + 6 = 17

Fifth term (a5) = a4 + 6 = 23 + 6 = 29

Therefore, the first five terms of the arithmetic sequence are 5, 11, 17, 23, and 29.

ASAP help
The length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches. What is the width? If w = the width of the rectangle, which of the following expressions represents the length of the rectangle?
A. 2w + 3
B. 2(w + 3)
C. 3(2w)

Answers

Answer:

2W+3  I am really sorry if that's wrong, I don't think it is though GOODLUCK

Step-by-step explanation:

Answer:

The correct answer is option A.   2w + 3

w = 5 inches

Step-by-step explanation:

It is given that, the length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches.

To find the correct option

If 'w' is the width of rectangle, then length = 3 inches more than the twice the width

length   = 2w + 3

The correct answer is option A.   2w + 3

To find the width

We have area = 65 square inches

Length * Width = 65

(2w + 3) * W = 65

2w² + 3w - 65 = 0

Solving we get ,

w = 5 and -6.5

Therefore w = 5 inches

Which of the following is the equation of a line parallel to the line y = 3x + 2,
passing through the point (10.1)?
A. -3x - y = 29
B. 3x - y = 29
C -3x + y = 29
D. 3x + y = 29

Answers

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (10, 1) into the partial equation

1 = 30 + c ⇒ c = 1 - 30 = - 29

y = 3x - 29 ← in slope- intercept form

Subtract y from both sides

0 = 3x - y - 29 ( add 29 to both sides )

29 = 3x - y, thus

3x - y = 29 ← in standard form → B

Answer:

B

Step-by-step explanation:

The sum of a number and three more than twice that number is 27. What is the smaller number?

Answers

Answer:

7

Step-by-step explanation:

27 + 27 = 54

54 + 3

57

Smaller number is: 7

What is the volume if this rectangular prism: 5/2 cm by 3/4 cm by 1/3 cm

Answers

Answer:

5/8 cm

Step-by-step explanation:

5/2*3/4=15/8

15/8*1/3=15/24=5/8

Answer:

V = 5/8  cm^3

Step-by-step explanation:

V = l*w*h

V = 5/2 * 3/4 * 1/3

The 3's cancel

V = 5/2 * 1/4 * 1/1

V = 5/8  cm^3

A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.



What is the value of x?

50
55
125
145

Answers

Answer:

The value of x is 55 ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the properties of the rhombus

- It has 4 equal sides

- Every two opposite sides are parallel

- Every two opposite angles are equal

- Every two adjacent angles are supplementary (their sum is 180°)

* Now lets solve the problem

- A square divided into two rectangles

- Each rectangle contains a shaded rhombus

- The shaded rhombus has two adjacent angles their measures are

 (2x + 20)° and 50°

∵ Every two adjacent angles in the rhombus are supplementary

∵ The sum of the supplementary angles = 180°

∴ The sum of the measures of the angles (2x + 20)° and 50° is 180°

- lets put the equation and solve it to find x

∴ (2x + 20)° + 50° = 180° ⇒ add the like terms

∴ 2x + 70° = 180° ⇒ subtract 70° from both sides

∴ 2x = 110° ⇒ divide both sides by 2

∴ x = 55°

* The value of x is 55

Given fx) = 3x - 1 and g(x) = 2X-3, for which value of does g(x) = f(2)?
A)x=3/2
B)x=2
C)5/2
D)x=4

Answers

Answer:

D. x =4

Step-by-step explanation:

problem solved on picture

What constant term should be used to complete the square?

x 2 - 9x + _____ = 6

-81/4
81/36
-9/2
81/4

Answers

x2-9x+ ___= 6

x2-9x+81/4=6

(This is because you need to do 2*x*a=-9x) Hence 2a=-9

So a=-9/2 hence a2= 81/4

Final answer:

To complete the square for the equation x² - 9x + _____ = 6, the constant term should be (81/4). This is obtained by dividing the coefficient of x by 2 and then squaring it.

Explanation:

The constant term required to complete the square for the equation x² - 9x + _____ = 6 can be found using a specific algebraic method. To complete the square, the coefficient of the x term should be divided by 2 and then squared. Therefore, for the equation provided, we take (-9/2) and square it, which results in (81/4). The complete equation after adding the constant term will be x² - 9x + 81/4 = 6 which, after completing the square, can be written as (x - 9/2)² = 6 + 81/4.

What are the slope and the y-intercept of the linear function that is represented by the table?

Answers

Answer:

slope rise 3 run 2 1/2

Step-by-step explanation:

if you start from the bottom and if you start from the top it's -3 and -2 1/2

Answer: The slope is 3 and the y-intercept is 3/2

Step-by-step explanation:

The slope of a linear function can be calculated as:

s = (y2 - y1)/(x2 - x1)

Where y2 = f(x2) and y1 = f(x1) and f(x) is the linear function.

So here we can use any two pairs of the set of data, for example, the first two.

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

s = (0 -(-3/2))/(-1/2 - (-1)) = (3/2)/(1/2) =(3/2)*(2/1) = 3

So the slope is equal to 3.

the y-intercept is the value of y when x = 0, in the table we can see that when x = 0. the value of y = 3/2

So the function is: y = 3*x + 3/2

and the correct option is the fourth one.

which of the following is the best approximation to a solution of the equation e^x=4x+1

Answers

The solution is when x= 1

Hope this helps!

What is .5x5 equal???

Answers

Answer:

The answer is 25

Step-by-step explanation:

5 x 5 is 25



Thanks it

7x2 +11x-6/7x2 - 10x + 3

Answers

Answer:

Final result :

 x + 2

 —————

 x - 1

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   7 • 3 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    7x2 - 7x - 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   7x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (7x-3)  •  (x-1)

            Which is the desired factorization

Please mark brainliest and have a great day!

Answer:

Here's what I get.

Step-by-step explanation:

[tex]\dfrac{ 7x^{2} + 11x - 6}{ 7x^{2} - 10x + 3}[/tex]

One way is to factor the numerator and the denominator

[tex]\dfrac{ 7x^{2} + 11x - 6}{ 7x^{2} - 10x + 3} = \dfrac{(7x - 3)(x + 2)}{ (7x - 3)(x - 1)} = \dfrac{x+2}{x-1}\\\\\text{Except when } x = \dfrac{3}{7}[/tex]

simplify the expression below. 4^5 x 4^3

Answers

Answer:

4^8

Step-by-step explanation:

Because both expressions have the same base, we can add the exponents to simplify the expression:

[tex]4^5*4^3 = 4^{5+3} = 4^8[/tex]

Answer: 4^8 or 65,536

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents.

Use the properties of exponents to rewrite the expression.
(-5uv)(-5uv)(-5uv)(-5uv)

Answers

(-5uv)^4

^4 means to the power of four

The expression can be simplified to [tex]625 \times (uv)^4.[/tex]

To rewrite the expression (-5uv)(-5uv)(-5uv)(-5uv) using the properties of exponents, you can consolidate it using the exponent rule that states when you multiply numbers with the same base, you add the exponents. In this case, the base is -5uv, and you are multiplying it four times, so the exponent is 4:

[tex](-5uv)(-5uv)(-5uv)(-5uv) = (-5uv)^4[/tex]

Now, you can simplify further by applying the rule for raising a power to a power, which states that when you raise an exponentiated term to another exponent, you multiply the exponents:

[tex](-5uv)^4 = -5^4 \times (uv)^4[/tex]

-5^4 means -5 multiplied by itself four times:

[tex]-5^4 = -5 \times -5 \times -5 \times -5 = 625[/tex]

So, the expression can be simplified to:

[tex]625 \times (uv)^4[/tex]

This is the expression rewritten using the properties of exponents.

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Which angles form a linear pair?

Answers

Answer:

Step-by-step explanation:

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Answer:

Adjacent angles formed by two intersecting lines form a linear pair.

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect. A linear pair of angles must add up to 180 degrees.

If two angles are adjacent angles that are formed by two intersecting lines, then they are called linear.

Help meeeee eeeeeeeeee reeeeeeee

Answers

Answer:

option number 1st is the correct answer.

Answer:

the second  because it shows you the way its  

Step-by-step explanation:

PLEASE HELP!
Complete the following steps to help find the standard deviation of the data set by hand.
1, 3, 5, 15, 2, 11, 12, 7
a) Find the mean value. (I have already done this, it is 7.)
b) Complete the table to find the deviations and the squared deviations. (I NEED HELP ON THIS THE MOST! Screenshot of table is attached.)
c) Find the sum of the squared deviations. SHOW YOUR WORK.
d) Find the standard deviation. Round your answer to the nearest tenth. SHOW YOUR WORK.

Answers

Answer:

See Step-by-step

Step-by-step explanation:

b)Table:

x          x-Mean          (x-Mean)^2

1             1-7=-6             36

3            3-7=-4             16

5            5-7=-2             4

15           15-7=8             64

2            2-7=-5             25

11            11-7=4             16

12           12-7=5             25

7             7-7=0             0

c)Find the sum of the squared deviations:

(36+16+4+64+25+16+25+0)/8=23.25

d)Find the standard deviation by finding the square root of 23.25

The answer is 4.8

Describe the symmetry of the plane figure shown below.

A.horizontal line symmetry

B.vertical line symmetry

C.rotational symmetry

D.diagonal line symmetry

Answers

Answer:B. vertical line symmetry

Step-by-step explanation:

Answer:

D. diagonal line symmetry

Step-by-step explanation:

Lines a and b are parallel and lines e and f are parallel.
What is the value of x?

Answers

The angles circled in red below are same side exterior. This means that the sum of them is 180 degrees. You can make a formula like so that you will solve for x...

98 + x = 180

98 - 98 + x = 180 - 98

0 + x = 82

x = 82

Another way to solve:

The angles circled in pink below are opposite side exterior. This means that they must equal each other...

82 = x

x = 82

Hope this helped!

~Just a girl in love with Shawn Mendes

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