Use the box method to distribute and simplify (3x+x^{2})(1+6x).(3x+x
2
)(1+6x). Drag and drop the terms to the correct locations of the table.

Use The Box Method To Distribute And Simplify (3x+x^{2})(1+6x).(3x+x 2 )(1+6x). Drag And Drop The Terms

Answers

Answer 1

By using the box method, the terms of the equation should be distributed and simplified as follows;

         3x            x²

1         3x            x²

6x      18x²         6x³

What is the distributive property of multiplication?

In Mathematics, the distributive property of multiplication states that when the sum of two or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

Next, we would multiply both sides of the equation together in order to open the bracket as follows;

(3x + x²)(1 + 6x)

3x(1) + 3x(6x) + x²(1) + x²(6x)

3x + 18x² + x² + 6x³

By combining like terms and rearranging the equations, we have:

6x³ + 19x² + 3x.

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Related Questions

What is the missing value in the image above? *

Answers

Answer:

8

Step-by-step explanation:

because there is nothing to subtract 8 from

The segment AB has the endpoints A(1,5) and B(3,2). The segment is translated 2 units down and 2 units right. What are the endpoints of the translated segment A'B'?

Answers

The endpoints of the translated segment A'B' after undergoing the given translation is; A'(3, 3) and B'(5, 0)

How to carry out translation transformation?

In transformation in mathematics, there are different types such as dilation, reflection, rotation, translation e.t.c

Now, in this case what we are dealing with is translation which simply means moving an object or figure from one point to the other without changing the shape or dimensions.

To translate the point AB(x, y) , 2 units down and 2 units right, we will use the translation rule;

A'B'(x + 2, y − 2) .

We are given the coordinates of AB as A(1,5) and B(3,2)

Thus;

A'(1 + 2, 5 - 2) = A'(3, 3)

B'(3 + 2, 2 - 2) = B'(5, 0)

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what value of x makes the equation 0.75(x+20)=2+0.5(x−2) true?

Answers

Answer:

x= -56..................

8. Complete the following table. 5x-2y = 6

Answers

Answer:

x=2/5y+6/5

Step-by-step explanation

5x-2y=6

5x-2y+2y=6+2y

5x=2y+6

step 2

5x/5=2y+6/5

x=2/5y+6/5

What is the answer for x?
-7=3.5+5x

Answers

Answer:

x=-2.1

Step-by-step explanation:

The answer is x = -2.1

properties of a cube​

Answers

Answer:

Step-by-step explanation:

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

prove that...

sin A = Cos (90°- A)​

Answers

Step-by-step explanation:

assuming A=90 degree and B =A

cos90=0 and sin90=1

Solve: 3c-c when c=9

Answers

Answer:

18

Step-by-step explanation:

give brainlyest???????

Answer:

18

Step-by-step explanation:

3*9-9

3*9=27

27-9=18

Hope this helpsss :)

HELPPP

Jose starts a savings account with $80. At the end of 6 months, the account had $350. Assuming there is a constant rate, how much did Jose save per month?

Answers

Answer:

w

Step-by-step explanation:

What is the center of the circle shown below?
ma
A. SI
B. MN
C. N. D. 2

Answers

C i did it and I got it right

The requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
In the given diagram, we can see a circle, and it is indicated that the center of the circle is L. The center of a circle is a point that is equidistant from all points on the circumference of the circle. This means that if we draw a line segment from the center to any point on the circumference of the circle, the length of that line segment will be the same as the length of the line segment from the center to any other point on the circumference.

Thus, the requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

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Function E is a linear function with an initial value of $2$ , and a rate of change of $\frac{1}{3}$
.

Function F is a linear function. The graph of function F includes the points $\left(2,\ 8\right)$ and $\left(0,\ 2\right)$ .

Which statement is true?

A The two functions have the same initial value.

B The two functions have the same rate of change.

C The initial value in function F is greater than the initial value in function E.

D The rate of change in function E is greater than the rate of change in function F.

Answers

Answer:

d

Step-by-step explanation:

The true statement: A The two functions have the same initial value.

What is a linear function?

A linear function has a straight line as its graph.

A linear function has the form shown below.

a + bx = y = f (x).

A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.

We know that function E is a linear function with an initial value of 2 and a rate of change of 1/3. Therefore, the equation for function E can be written as:

E(x) = (1/3)x + 2

We also know that function F is a linear function that includes the points (2, 8) and (0, 2).

We can use the two points to find the slope of the line and then use the point-slope form to write the equation for function F.

The slope of F = (8 - 2) / (2 - 0) = 6/2 = 3

Using point-slope form with the point (2, 8), we get:

F(x) - 8 = 3(x - 2)

F(x) = 3x + 2

Now we can compare the two functions.

A. The initial value of function E is 2, while the initial value of function F is 2 + 3(0) = 2. Therefore, statement A is true.

B. The rate of change of function E is 1/3, while the rate of change of function F is 3. Therefore, statement B is false.

C. The initial value of function F is 2, which is the same as the initial value of function E. Therefore, statement C is false.

D. The rate of change of function E is 1/3, which is less than the rate of change of function F, which is 3. Therefore, statement D is false.

Therefore, the only true statement is A. The two functions have the same initial value.

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I need help I have been waiting for 2 hours

Answers

other person alr did #1, and #2 is 0.175

5% of 3 and one half is 0.175 as a decimal

Answer:

$139.24

Step-by-step explanation:

$98+$20=$118

(1.18)($118)=$139.24

the 1.00 in 1.18 is the cost without tax, the 0.18 is the tax, so if you want the cost of the room with tax you would multiply the cost of the room before tax with 1.18

The tax for every room is the same(.18). Tax is taken from the initial cost so you would do 98+20= 118. $118 is the cost of the double room without tax, $139.24 is with tax.

can you please help me solve this equation using substitution? I’ve been trying to solve it for so long and can’t do it.

2x-y=5 and 3x+y=-9

Answers

Answer:

x=-4/5 y= -33/5

Step-by-step explanation:

y=-3x-9

2x+3x+9=5

       5x=-4

x=-4/5

Then plug it in into an equation.....2(-4/5)-y=5

-8/5-y=25/5

-y=33/5

y=-33/5

You can check if you want

Answer:

x = -4/5, y = -6 3/5

Step-by-step explanation:

The way to use substitution to solve is to isolate (Put it on one side without anything else on that side of the equation) a variable. We can use the first equation to isolate y. We can add y on both sides to get that 2x = y + 5 and then subtract by 5 on both sides to get that y = 2x - 5. Next, we can substitute 2x - 5 in for y in the second equation because y = 2x - 5. We would get that 3x + 2x - 5 = -9, so 5x - 5 = -9, and if you add by 5 on both sides, you get 5x = -4. Finally, we can divide by 5 on both sides to get that x = -4/5. If you want to find y, we can find it by substituting x into the equation 2x - 5 = y. 2 * -4/5 - 5 is equal to y, so -8/5 - 5 = y, and lastly, y = -6 3/5

Use the Distributive Property to simplify the expression. 8(s−1) =

Answers

Answer:

the answer would be 8s -8

Step-by-step explanation:

I learned this a long time ago

Answer:

anong grade Yan tol??g7 g7 g8 g9 g10 g11 g12?

What is the sum of i° + k°?

Answers

Answer

1 + 32 + 243 + 1024 + .. + n5

Step-by-step explanation:

What is the domain of the function represented by this graph?

Answers

domain is all the x values represented
domain here is infinitely because it can go on forever to the left and to the right

In a factory, eggs are packaged in groups of six per box how many full boxes of eggs can the factory make with 937 eggs

Answers

Answer:

156 boxes

Step-by-step explanation:

Simply divide the total amount of eggs (937) by the amounts which are packaged in the boxes (6)

937 / 6 = 156 [tex]\frac{1}{6}[/tex]

So there are 156 full boxes and 1 egg left

Since you can't pack one egg, the answer is 156 boxes

Answer:

156

Step-by-step explanation:

937 ➗ 6 which 156.16667 near to 156

BRAINLIEST to wherever gets this correct ​

Answers

Answer:

300π

Step-by-step explanation:

The only difference in the formulas to find volume of each is that the volume of a cone is 1/3πr² and the volume of a cylinder is just πr²

What is the answer I have no clue

Answers

It’s C. Just look at the y-intercepts and it will be fine.

an internet company charges 20$ a month for service they also charge an initial installation fee if your bill for the first 3 months is 92$ how much was the installation fee? write an equation to solve this problem​

Answers

20 x 3 = 6092 - 60 = 32$32.00

PLEASE HELP ASAP
What is (-105 + (-35) X(-3 + 5)?

Answers

Answer:

-175 I believe

Step-by-step explanation:

Answer:

-280

Step-by-step explanation:

-105+-35= -140

-3+5= 2

-140*2= -280

Hope this helps others

Mia got $80 for her birthday and spent $60. What percent of her birthday money does she have left

Answers

Answer:

16 percent is left

Step-by-step explanation:

20/100×80

Hope it helps!!

ayda porfavor si quieren mas puntos solo contesten bien

Answers

es la respuesta del de abajo pero es 62 no 61 ya que marca 61,5 y se aproxima 62 sí o sí xf

what is the hcm of 18 and 45

Answers

Answer:

90

Step-by-step explanation:

90 Or, we can say that it is a method of breaking down the given integer into its prime factors. Therefore, the HCF of 18 and 45 is 9. Therefore, the HCF of 18 and 45 is 90.

Solving Distributive Property Equations,






1. 2(x + 5) = 16 2. 3(t + 1) = 18












3. 3(x + 7) = 15 4. 2(3y – 5) = 14

















5. 2(3x + 1) = 8 6. 4(3y – 2) = 88


















7. 6(3k + 5) = 39 8. 9(3x – 5) = 9 8. 9(3x – 5) = 9

Answers

1. x=3
2. t=5
3. x=-2
4. y=4
5. x=1
6. y=88

You have 5 cells and they double everyday. How many cells will you have after 8 days

Answers

Answer:

40

Step-by-step explanation:

5 cells x 8 days = 40 cells

your welcome.

Answer:

[tex]5^{2} (8)[/tex] = 200

Step-by-step explanation:

[tex]5^{2} = 25[/tex] 200In 8 days you will have 200 cells

Meena cuts a 287-in. long ribbon into 2 pieces in the ratio 3 : 4. What is the length of the longer piece of ribbon? (ASAP) ​

Answers

Answer:

164 inches

Step-by-step explanation:

First, add 3 and 4

3+4= 7

Then divide 287 by 7

287/7= 41

Then, multiply 4 (from the ratio) by 41

4*41= 164

To get the length of the shorter piece, subtract 164 from 287

287-164= 123

Check your work:

123+164= 287

Hope this helps!

I need help with this question. I need to find the perimeter of the hexagon RSTUVW.​

Answers

9514 1404 393

Answer:

  47.71

Step-by-step explanation:

Two "special" triangles are involved.

ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.

ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.

For ΔSWR, the side SW is given as 6, so the other sides are ...

  WR = 6√3

  RS = 2(6) = 12

For ΔUVW, the side WU is given as 8, so the other sides are ...

  UV = VW = 8/√2 = 4√2

Then the perimeter of the figure is ...

  P = RS +ST +TU +UV +VW +WR

  P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71

the area if a rectangle is 7 ¼ with leangth 2⁵/⁷ calculate its breadth​

Answers

Answer:

Can u explain it one more time their is alot of spelling errors

please help me with this

Answers

Answer: D. 3[tex]\sqrt[3]{20}[/tex]

Step-by-step explanation:

Answer:

think A or B  

Step-by-step explanation:

i am not  sure

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