Simplify
2x + 5x^3 + 3x - 4x^3 ​

Answers

Answer 1

Answer:

x³ + 5x

Step-by-step explanation:

2x+5x3+3x−4x3

=2x+5x3+3x+−4x3

Combine Like Terms:

=2x+5x3+3x+−4x3

=(5x3+−4x3)+(2x+3x)

=x3+5x

Answer 2

Answer:

[tex]\large \boxed{x^3+5x}[/tex]

Step-by-step explanation:

[tex]2x + 5x^3 + 3x - 4x^3[/tex]

[tex]\sf Group \ like \ terms.[/tex]

[tex]5x^3 - 4x^3+2x+3x[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

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


Related Questions

If B is the midpoint of line AC, AC = CD, AB = 3x+4, AC=11x-17, and CE = 49, find DE. (Show work)

Answers

Answer:

2(3x+4) = 11x-17

6x+8 = 11x-17

25=-5x

x=-5

11x-17

55-17

38

AC = 38

CD = 38

49-38 = 11

DE = 11

Let me know if this helps!

Which of the following terms correctly describe the object below?
Check all that apply.
a. polyhedron
b. pyramid
c. prism
d. solid
e. cube
f. polygon
*will mark brainliest :))

Answers

Answer:

The given figure is:

a. Polyhedron

c. prism

d. solid

Step-by-step explanation:

First of all, let us consider the given image.

It is a 3 dimensional figure.

It has 2 equal bases which are pentagonal.

Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.

The faces can be of 'n' number of edges (Polygonal faces).

Its edges are straight, has sharp corners which are also known as vertices.

The given image is a polyhedron as per above definition.

b. Pyramid:

It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.

The given image does not converge to a point on the top, so not a pyramid.

c. Prism:

It is a 3D shape which has it two bases as polygonal structure.

The two bases are equal in shape and size.

There are faces on the body of prism which are formed by joining the edges of the bases.

The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height.

So, the given image is a Solid.

e. Cube:

Cube is a 3D figure, which has all its faces in square shape.

All the sides are equal for a cube.

The given image is not a cube.

f. Polygon:

A polygon is a closed figure in 2 dimensions which has n number of sides.

The given image is not a polygon.

Answer: The given figure is:

a. Polyhedron

c. prism

d. solid

The given figure is a Polyhedron, prism and solid.

What is a polyhedron?

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in the following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.

c. Prism:

It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.

To know more about Polyhedrons follow

https://brainly.com/question/24324783

#SPJ5

Thank you guys for your help!

Answers

Answer:

  4/5

Step-by-step explanation:

-18/2 = -9, and integer√9 = 3, an integer0, an integer4/5, irreducible fraction; not an integer

12. Solve the systems of linear equations using the substitution method.
x=y - 2
4y = x + 23

Answers

Answer:

x=5 and y=7

Step-by-step explanation:

x + 2 = y (equation 1)

x + 23 = 4y (equation 2)

(equation 2) - (equation 1)

This gives,21 = 3y

y = 21/3

y = 7.

Put y = 7 into equation 1 to find x

x + 2 = 7

x = 7 - 2

x = 5.

which value of g makes 26=7(g-9)+12 a true statment

Answers

Answer:

11

Step-by-step explanation:

26=7(g-9)+12

14=7(g-9)

2=g-9

g=11

Convert 2 5/8 to a decimal

Answers

Answer:

2.625

Step-by-step explanation:

First convert mixed fraction to improper fraction,

=> 21/8

Then by normal division you will get,

=> 2.625

May anyone help me please and thank you

Answers

Answer:

Step-by-step explanation:

: v

Answer:

(x + 10)² = 4

Step-by-step explanation:

Given

2x² + 192 = - 40x ( add 40x to both sides )

2x² + 40x + 192 = 0 ( subtract 192 from both sides )

2x² + 40x = - 192 ( divide through by 2 )

x² + 20x =- 96

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(10)x + 100 = - 96 + 100

(x + 10)² = 4

rationalise 3 square root 2 divided by square root 3

Answers

Answer:

root3

Step-by-step explanation:

multiply the numerator and denominator by the root of 3

3root2×root3/root3×root3

3root6/3

note root3×root3=3

the 3 up will divide the 3 down

and that lives u with the answer root2

sorry currently won't have a way of writing the roots thats y am using words

Today, Ling is going to an art museum to see a special exhibit. It takes Ling 45 minutes to walk to the subway station. She will ride the subway for 45 minutes and then walk 15 minutes to the art museum. If Ling needs to be at the art museum by 9:30 A.M., what is the latest time she can leave her house?

Answers

Answer: 7:55

Step-by-step explanation: in total the journey is 105mins so if she has to reach by 9:30. Then she has to leave her house 105mins before 9:30


Divide 50 by 25 and find the remainder to complete the equation:
50 = 25 x ? + ?

Answers

Answer:

0

Step-by-step explanation:

Hello, do you agree that 25 * 2 = 50 ?

So, we can write that [tex]50 = 25 * \boxed{2} + \boxed{0}[/tex]

the remainder is 0.

Thank you

By how much is 5 over 6 greater than 3 over 4​

Answers

Answer:

By 1/12

Step-by-step explanation:

5/6 - 3/4 = 10/12 - 9/12 = (10 - 9)/12 = 1/12
Answer:

1/12

Step-by-step explanation:

5/6 > 3/4

5/6 = 20/24 3/4 = 18/24

20/24 - 18/24 = 2/24 or 1/12

A line passes through the point (4,8) and has a slope of -3/2

Write an equation in Ax+By=C

Answers

Answer:

The answer is

3x + 2y = 28

Step-by-step explanation:

To find an equation of the line using a point and the slope we use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

From the question

slope = -3/2

Point = (4,8)

So the equation of the line is

[tex]y - 8 = - \frac{3}{2} (x - 4)[/tex]

Multiply through by 2

2y - 16 = -3( x - 4)

2y - 16 = - 3x + 12

3x + 2y = 16 + 12

We have the final answer as

3x + 2y = 28

Hope this helps you

How do I do question 2?

Answers

Answer:

518

Step-by-step explanation:

solution:

=8^2^×1^+1+6^2^×1^-1

=8^3+6^1

=8^3+6

=8×8×8+6

=512+6

=518

if "f" varies directly with "m," and f = -19 when m = 14, what is "f" when m = 2

Answers

Answer:

f = - [tex]\frac{19}{7}[/tex]

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition f = - 19 when m = 14, thus

- 19 = 14k ( divide both sides by 14 )

- [tex]\frac{19}{14}[/tex] = k

f = - [tex]\frac{19}{14}[/tex] m ← equation of variation

When m = 2, then

f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]

Write an equation of the line. What is the equation of the line?

Answers

Answer:

y=-1

Step-by-step explanation:

As the line is horizontal in nature and pass through (2,-1), the equation is y=-1

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school collected during the two days. {12x + 4y = 15232x + 12y = 420 In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?

Answers

Answer:

  11

Step-by-step explanation:

The two equations appear to be ...

12x +4y = 15232x +12y = 420

These can be solved for y using Cramer's rule:

  y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

Comment on Cramer's Rule

For equations ...

  ax +by =c

  dx +ey = f

The solutions are ...

  x = (bf -ey)/(bd -ea)

  y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

Answer:

11

Step-by-step explanation:

quick mafs

Determine the center and radius of the following circle equation:

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]x^2+y^2+6x+18y-10=0\\\\x^2+6x+9+y^2+18y+81-9-81-10=0\\\\(x+3)^2+(y+9)^2=10^2\\\\\\center=(-3,-9)\\radius=10\\[/tex]

The number 7 is a factor of

Answers

Answer:

itself and numbers divisible by 7

Answer= 1 and 7

Hope this helps!!!!

is 3.00d+1.50d equivalent to 6.00d +3.00d?

Answers

No I don’t think it is

what are irrational numbers?​

Answers

Step-by-step explanation:

Any real number that cannot be expressed as the quotient of integers

I HOPE THE DAY GOES GREAT.

Chuck goes to a community college there is an enrollment fee of 207.55 plus 223.07 per credit hour which eqaution shows C the total cost of attending the community college for x credit hour

Answers

Answer:

C = 207.55 + 223.07x

Step-by-step explanation:

Given the following :

Cost of community college:

Enrollment fee = 207.55

Fee per credit hour = 223.07

Attending the community College for 'x' credit hours can be represented by:

Total cost = C

[Enrollment fee + (fee per credit hour * number of credit hours)]

Number of credit hours = x

C = [207.55 + (223.07 * x)]

C = 207.55 + 223.07x

Therefore, the total cost 'C' of attending the community college for 'x' credit hour:

C = 207.55 + 223.07x

The lengths of the three sides of a triangle are 7, x+4 and 2x+1. The perimeter of the triangle is 36. What is the length of the longest side of the triangle?

Answers

Answer:

Length of the longest side = 17 units

Step-by-step explanation:

Given:

Three sides of triangle

A = 7

B = x+4

C = 2x + 1

Perimeter of the triangle = 36

Find:

Length of the longest side

Computation:

We know that

Perimeter of the triangle = A + B + C

Perimeter of the triangle = 7 + x + 4 + 2x + 1

36 = 12 + 3x

24 = 3x

x = 8

So

Side B = 8 + 4 = 12 unit

Side C = 2(8) + 1 = 17 units

Length of the longest side = 17 units

Answer:

17.

Explaination:

Dunno. I just put it on paper, and did the calculations there.

Find of factor of 72

Answers

Answer:Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

Negative Factors of 72: -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36 and -72.

Prime Factors of 72: 2, 3.

Prime Factorization of 72: 2 × 2 × 2 × 3 × 3 = 23 × 32

Sum of Factors of 72: 195.

Step-by-step explanation:

a person has 2 balls, a second one had (2)^2 = 4 balls, a third had (4)^2 = 16, how many balls will the tenth person have?

Answers

Answer:

256

Step-by-step explanation:

because all of them are squared so

2^2= 4 balls

2 x 2

4^2 = 16 balls

4 x 4

16^2 = 256 balls

16 x 16

I NEED HELP PLEASE !!!!

Answers

Answer:

No, all of her work is correct.

Step-by-step explanation:

Answer:

No, all of her work is correct.

Step-by-step explanation:

All of her work is correct.

The first step is showing factorization of √50

The second step is simplifying the factorization

The third step is simplifying the entire radical.

When you take a square root of a square, they cancel out, so:

√5² = 5

We multiply it with our leftover √2 and we get:

5√2

1. Find the area of a triangle (PLEASE ONLY in CM²) 2. Seven squared equals seven times .........

Answers

Answer:

30 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 6 and h = 10 , thus

A = [tex]\frac{1}{2}[/tex] × 6 × 10 = 3 × 10 = 30 cm²

and 7² = 7 × 7 = 49

Answer:

1)        30 cm²

2) Seven squared equals seven times 7

Step-by-step explanation:

Base = 6 cm

Height = 10 cm

Area of triangle = [tex]\frac{1}{2}[/tex]*base * height

                          = [tex]\frac{1}{2} * 6 * 10[/tex]

                         = 3 * 10

                          = 30 cm²

2) 7² = 7 * 7

WhAt is the area! Answer fast and please show work. I’ll give amazing rating!!!

Answers

Answer:

78

Step-by-step explanation:

A 45-45-90 triangle has sides like..

So the height of the parallelogram is 6.5

6.5 x 12 = 78

Answer:

78 in^2

Step-by-step explanation:

The area of a parallelogram is

A = bh

A = ( 12) * h

We can find the height  from using trig functions

tan 45 = h /6.5

6.5 tan 45 = h

A = ( 12) * 6.5 tan 45

   =12 ( 6.5) * 1

   =78

Find the missing side. Round your answer to the nearest tenth.
PLEASE HURRY!!

Answers

Answer:

x = 9.4m

Hope this helps...Have a good day!!

solve the diagram below

Answers

Answer:

x=45

Step-by-step explanation:

straight line=180°

2x+x=3x

180-45=135

135/3=45

x=45

A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet

Answers

Answer:

w>10

length = 40

Step-by-step explanation:

Let

Width=w

Length=4w

Perimeter is less than 100 inches

Perimeter of a rectangle= 2( Length + width)

100 < 2(4w+w)

100 < 8w+2w

100 < 10w

w > 10

Length =4w

=4 × 10

=40 inches

Answer:

5/2l <100

Step-by-step explanation:

PLATO

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