what is this??
i need help

The roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.\

To find the roots of a polynomial, equate these factors of a polynomial to zero.

The given polynomial equation is,

[tex]x^4+x^2=4x^3-12x+12[/tex]

Take all the terms left side of the equation,

[tex]x^4+x^2-4x^3+12x-12=0\\x^4-4x^3+x^2+12x-12=0[/tex]

The factor form of the polynomial on solving the above equation, we get,

[tex](x-2)(x-2)(x-1.73)(x+1.73)=0[/tex]

Equate all the factors to zero, to find the roots. The roots we get are,

[tex]2,2,1.73,-1.73[/tex]

Hence, the roots of the provided polynomial equation of 4 degree are 2,2,1.73,-1.73.

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer:

–1.73, 1.73, 2

Step-by-step explanation:

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

C

Step-by-step explanation:

Because 3 goes into both 15 and 9 and make 3:3

No other numbers make an equivalent ratio

Answer:

101m

Step-by-step explanation:

area of a rectangle is given by length × width

73.5÷1.5 gives us the other side=49

49+1.5=50.5×2=101

Answer:

(2,-12)

Step-by-step explanation:

Correct equations:

  8x+y=4

 -2x-8=y

------------------

Rearrange the first equation:

8x+y=4

y=4-8x

Now use this value of y in the second equation:

-2x-8=y

-2x-8=4-8x

6x = 12

x = 2

When x = 2:

y=4-8x

y=4-8(2)

y = -12

(2,-12)

--

One can also graph the two equations and find the point they intersect.  See the attached graph.

The length of the diagonal is the hypotenuse of the fence

The length of the wood is [tex]7\sqrt{ 2[/tex] yards

The dimensions of the fence are:

7 ft by 7 ft

The length (L) of the diagonal is calculated using:

[tex]L = \sqrt{a^2 + b^2[/tex]

This gives

[tex]L = \sqrt{7^2 + 7^2[/tex]

Express as products

[tex]L = \sqrt{7^2 * 2[/tex]

Express as radical

[tex]L = 7\sqrt{ 2[/tex]

Hence, the length of the wood is [tex]7\sqrt{ 2[/tex] yards

Read more about diagonals at:

https://brainly.com/question/10187910

53x95 = 5035!

hopes this helps! ^^

Answer:

5605

Step-by-step explanation:

Check the picture below.

Answer:

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 3) ← 2 points on the line

m = [tex]\frac{3-(-1)}{2-0}[/tex] = [tex]\frac{3+1}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Answer:

How can you reduce the variability of a statistic? By taking a larger sample. Larger samples give smaller spread. Also by better design, such as stratified sampling. What effect does the size of the population have on the variability (spread) of a statistic?

Step-by-step explanation:

Answer:

C the number of toothbrushes :)

Step-by-step explanation:

You can show how many were given away each month on a dot plot :)

The others would not make sense with the dot plot :)

Haeva great day!

Please rate and mark brainliest!

Answer:

[A} 8

[B] 3

[C] -9

[D] - 900

Step-by-step explanation:

A:-4(-4+3)+2²

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]-4\left(-1\right)+2^2[/tex]

[tex]-4\left(-1\right)+4[/tex]

[tex]4+4[/tex]

8

-------------------------------------------------------------------------------------------------------------

B:-3-3-3(-3)

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

[tex]-3-3-\left(-9\right)[/tex]

3

-------------------------------------------------------------------------------------------------------------

C:-17+2(-2)(-2)

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]-17-\left(-8\right)[/tex]

-9

-------------------------------------------------------------------------------------------------------------

D:-(+2(-3)(5)(3+2)(-6)​

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

-900

-------------------------------------------------------------------------------------------------------------

[RevyBreeze]

The algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

Polynomials are algebraic expressions having only addition, subtraction, multiplication and exponentiation (non-negative) of variables involved in it.

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

[tex]x^3 + 3x +5[/tex]

is a polynomial consisting 3 terms as

[tex]x^3[/tex], 3x and 5

Checking all the options:

It has only one term, so its not a binomial.

It has two terms, and there is only integer powers of variables and variables are in multiplication in forming terms, so its a polynomial.  And because of two terms and being polynomial, it is binomial.

Because of square root over variable 'y', the variable 'y' got non-integer power 1/2 as square root is also written as exponentiation by 1/2.

Thus, its not a polynomial.

Its a polynomial as there are constants only and variables with multiplication. And because of two terms and being polynomial, it is binomial.

we can write the second term as:

[tex]\dfrac{3}{x} = 3x^{-1}[/tex]

Thus, the variable x has negative power. Thus, its not a polynomial. Or simply, since the variable is in division in simplified form, therefore, its not a polynomial.

Thus, the algebraic expressions out of the given options that are binomials is given by: Option B: x^2y - 3x and Option D: 4xy - 2/5

Learn more about binomials here:

https://brainly.com/question/10451213

Considering the spherical snowballs, the total volume of snow used in the snowman is of 126 m³.

The volume of an sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, there are three spheres, of radius r = 1 m, r = 5 m and r = 2 m, hence:

[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]

[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]

[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]

The total volume, in cubic meters, is of:

V = 4.19 + 104.72 + 16.76 = 125.67.

Rounding, the total volume of snow used in the snowman is of 126 m³.

More can be learned about the volume of an sphere at https://brainly.com/question/25608353

Answer:

Hope this helps

Step-by-step explanation:

Similar Triangles... Yes

QR similar to SR

ang. QRP = ang. SRT

ang. p = ang. t

=> similar

Answer:

Area of a rectangle

A = lw

Answer:

either one

Step-by-step explanation:

it is going through the origin, so it is going forever in each direction

Answer:

23 square meter from Nthabiseng Selina Tsolo

Answer:

x = -1, y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]

[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]

Simplify

[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=\frac{1+3\left(-1\right)}{2}[/tex]

[tex]x=-1[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]

[tex]x=-1,\:y=-1[/tex]

Check Answer:

2(-1)-3(-1) = 1

True

-1+2(-1)= -3

True

~Lenvy~

Answer:

0

Step-by-step explanation:

-2-3+5

-5+5

0

Answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

each class is 1.07 hours

Step-by-step explanation:

Answer:

  234 square millimeters

Step-by-step explanation:

You want the area of the irregular polygon shown.

There are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.

The triangle has a base of 12 mm and a height of 13 mm. Its area is ...

  A = 1/2bh

  A = 1/2(12 mm)(13 mm) = 78 mm²

The upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...

  A = LW

  A = (14 mm)(8 mm) = 112 mm²

The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...

  A = (4 mm)(11 mm) = 44 mm²

The area of the figure is the sum of the areas of its parts:

  total area = triangle area + upper rectangle + lower rectangle

  total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²

The area of the figure is 234 square millimeters.

<95141404393>

Answer:

0.3 ft  DISCLAIMER

Step-by-step explanation:

DISCLAIMER: I am not 100% sure if I am correct.  I think I am but there is a chance I am not.  I just thought ONE answer would be better than none.  Feel free to disregard this if you don't want to try.

If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce.  I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3

Answer:

The answer is J.

Step-by-step explanation:

Because y= 2x-3 as shown on the graph and on the chart it shows y=-x+3

Answer:

250cm

Step-by-step explanation:

Answer:

433.01m.

Step-by-step explanation:

SOHCAHTOA

cos60= a/500

500cos60=a

433.01m

Area of a circle = pi x r^2

Area of the circle = 4^2 x pi = 16pi

3/4 of the circle is shaded

area of shaded portion = 3/4 x 16pi = 12pi

Answer 12 pi

Answer:

b

Step-by-step explanation:

4 of the nonshaded areas =a