Which of the following represents the factorization of the trinomial below?
6x?+ 11x +3
A. (3x + 1)(2x+3)
B. (3x+3)(2x+1)
C. (3x+3)(2x+2)
D. (3x + 2)(2x+3)

Answers

Answer 1

Answer:

A.(3x+1)*(2x+3)

Step-by-step explanation:

6x2+11x+3

= 6x2 + 9x +2x +3

= 3x*(2x+3) + (2x+3)

= (3x+1)*(2x+3)


Related Questions

The scatter plot shows the number on minutes spent reading (x) and the number of pages read (y) by each Seven student last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The ? of a right triangle are the sides that are adjacent to the right angle.

Answers

The sides adjacent to the right angle are called legs.

Help help help me me me

Answers

Step-by-step explanation:

...

the answer is 49/40

15 ÷ 3 = Δ

Find the value of Δ.


A)
5


B)
12


C)
18


D)
45

Answers

Answer:

A)5 is the answer

Step-by-step explanation:

this is the answer

Answer:

A- 5

Step-by-step explanation:

15/3 = 5

Write a polynomial to represent the area of the shaded region. Then solve for x given that the area of the shaded region is 24 square units.
3x2 + x - 6; x = 3
3x2 + 7x - 6; x = 2
3x2 + 7x - 6; x = 5
WILL GIVE BRAINLIEST WITH EXPLANATION

Answers

Answer:

[tex]3x^{2}[/tex] +x -6 ; x = 3

Step-by-step explanation:

PART 1: The Polynomial

1. Set up the Equation: (x+3)(3x-2) - 6x

You want to find the area of the larger of the 2 rectangles that way you can subtract the area of the smaller one to get the shaded area (if that makes sense). You multiply length by width to get the area so you will multiply (x+3) by (3x - 2). The same applies to the smaller of the two rectangles, so that will be 6x.

2.FOIL: [tex]3x^{2}[/tex] - 2x + 9x -6 - 6x

You are going to want to foil (x+3) and (3x-2). If you are unfamiliar with the FOIL method I would recommend watching a Khan Academy video about it.

3. Simplify: [tex]3x^{2}[/tex] +x -6

Add and subtract like terms. This will be your polynomial.

PART 2: The Value of x

1. Set up the Equation: [tex]3x^{2}[/tex] +x -6 = 24

You will set the polynomial to equal 24 the polynomial and number both equal the size of the shaded area

2. Subtract: [tex]3x^{2}[/tex] +x -30 = 0

Subtract 24 from both sides.

3. Factor: (3x + 10)(x - 3) = 0

4. Set each group to equal zero.

  a. 3x + 10 = 0

      3x = -10

      x = -10/3

  ----------------

  b. x - 3 = 0

   x = 3

5. Check both the answers in [tex]3x^{2}[/tex] +x -6 = 24 to see if your answers are correct. The answer would be x = 3.

Polynomial representing the area of the shaded region will be (3x² - x - 6) square units and the value of 'x' is 3.

Area of a rectangle:Area of a rectangle is given by the expression,

       Area of a rectangle = Length × Width

Given in the picture,

Larger rectangle with measures,

        Length = (x + 3) units

        Width = (3x - 2) units

Small rectangle with measures,

        Length = x units

        Width = 6 units

Area of the shaded region = Area of the larger rectangle - Area of the smaller rectangle.

Area of the larger rectangle = (3x - 2) × (x + 3) square units

Area of the smaller rectangle = 6x square units

Area of the shaded region = (3x - 2)(x + 3) - 6x

                                            = 3x(x + 3) - 2(x + 3) - 6x

                                            = 3x² + 9x - 2x - 6 - 6x

                                            = (3x² + x - 6) square units

If the area of the shaded region is 24 square units.

3x² + x - 6 = 24                 [Substitute the values]

3x² + x - 30 = 0

3x² + 10x - 9x - 30 = 0      [Factor the equation]

x(3x + 10) + 3(3x + 10) = 0

(x - 3)(3x + 10) = 0

[tex]x=3,-\frac{10}{3}[/tex]

      Therefore, polynomial representing the area of the shaded region will be (3x² - x - 6) square units and the value of x is 3.

Learn more about the area of a rectangle here,

https://brainly.com/question/1256199?referrer=searchResults

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
3y - 9x = -6
5y - 15x = -10
A. More than 1 solution
O B. x = -15, y = 5
O C. X=-9, y = 3
O D. No solution
SUBMIT

Answers

Answer:

Infinite

Step-by-step explanation:

Here are a system of how two equations can be classified ;

• If the gradients are the same but the y-intercepts are different, the system has no solution.

• If the gradients are different, the system has one solution.

• If the gradients are the same and the y-intercepts are the same, the system has infinitely many solutions.

Here is the proof.

3y - 9x = -6

5y - 15x = -10

In

3y - 9x = -6

When x =1

y= 1

When x=3

y= 7

Gradient of 3y - 9x = -6

=∆y/∆x

= (7-1)/ ( 3-1)

=(6)÷ 2

= 3

5y - 15x = -10

When x= 1

y = 1

When x=3

Y=7

Gradient of 5y - 15x = -10

=∆y/∆x

= (7-1)/ ( 3-1)

=(6)÷ 2

= 3

Since the gradients are the same the system has infinitely many solutions.

what does this net represent?

Answers

Answer: triangular pyramid

Step-by-step explanation: The net shown here is composed of 3 triangular faces and 1 triangular base. The triangular faces tell us that the figure is a pyramid and the triangular base tells us that it's a triangular pyramid. You can always check your answer by tracing the net, cutting it out, and folding it to see what kind of a figure is formed.

Plz answer i will mark u brainiest

Answers

Answer:

1st is in II quadrant

2nd one is in IV quadrant

3rd one is on y axis as x = 0

Victouria leaves school to go home. She
walks 6 blocks North and then 10 blocks
West. How far is Victouria from the
school?

Answers

Answer:

11.66

Step-by-step explanation:

Pythagorean theorem: a^2+b^2=c^2

6^2+10^2=c^2

36+100= c^2

sqrt(136)= sqrt(c)

c= 11.66

How do you find the mode of a set of numbers? *
10 points
A. Add all the numbers of the set and divide
B You put them from least to greatest
C Find the number that shows up the most

Answers

Answer:

C. Find the number that shows up the most

Step-by-step explanation:

I will give you the brainliest if you answer asap please

Answers

Answer:

168

Step-by-step explanation:

You just need to triple the answer to get 168.

A person purchases items marked $2.95, $12.99, $6.97, and $4.19. What is the total cost of these purchases including 6% sales tax

Answers

the total of the purchases is $28.73

help me out please
simple 8th grade math.

Answers

X-3
The blank is minus 3

Simplify the expression.
( 6x + 1/2) + ( 5x - 3 1/2 )

Answers

Answer:

(11x-3)

Step-by-step explanation:

This is because the two parenthesis are adding together, we can simply combine the like terms 6x and 5x to get 11x.

Then, combine 1/2 + a -3 1/2, which is equal to -3.

(Oh, i didn't see the minus sorry! It's fixed now!)

Answer:

11x -3

Step-by-step explanation:

(6x + 1/2) + (5x - 3 1/2) Add like terms

6x + 5x = 11x

1/2 - 3 - 1/2 = -3

11x - 3

You have a jar of marbles with 7 red, 12 blue, 6 yellow, and 9 white. What is the probability of selecting a marble that is not red, replacing it and then one that
is white?​

Answers

Answer:

The probability of selecting a marble that is not red, replacing it and then one that  is white is 0.2102

Step-by-step explanation:

Number of red marbles = 7

Number of blue marbles = 12

Number of yellow marbles = 6

Number of white marbles = 9

Total marbles = 7+12+6+9=34

Probability of selecting red marble =[tex]\frac{7}{34}[/tex]

Probability of selecting no red marble = [tex]1-\frac{7}{34}=\frac{27}{34}[/tex]

Now replacing it one marble is drawn again

So, Probability of getting white marble [tex]=\frac{9}{34}[/tex]

So,the probability of selecting a marble that is not red, replacing it and then one that  is white =[tex]\frac{27}{34} \times \frac{9}{34}=0.2102[/tex]

Hence the probability of selecting a marble that is not red, replacing it and then one that  is white is 0.2102

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

Answer:

$80.48

Attached is the image of the entry way

Step-by-step explanation:

Given that each unit length represents 1 foot.

To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.

The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft

Area of a Trapezium = 1/2 × (a+b)h

a = 4ft, b= 7ft, h = 5ft

Substituting the values;

Area of trapezoid = 1/2 × (7 + 4)x 5

Area of trapezoid = 27.5 ft^2

Area of a parallelogram = length × height

Length = 4 ft, height = 4 ft

Substituting the values;

Area of parallelogram = 4 x 4

Area of parallelogram = 16 ft^2

Total area = area of trapezium + parallelogram

Total area = 27.5 + 16 = 43.5 ft^2

Cost per square foot = $ 1.85

Total cost = cost per square foot × area

Total cost = $1.85 per square foot × 43.5ft^2

Total Cost = $80.48

Answer:

Sal will pay $ 80.48  to tile his entryway.

Step-by-step explanation:

Separate the entryway into simpler shapes: a trapezoid and a parallelogram.

Find the area of the simpler figures. Count units to find the dimensions.

Trapezoid

A =   1/ 2

h(b₁ + b₂)

A =   1/ 2

(5)(4 + 7)

A =   1/ 2

(5)(11)

A = 27.5

The area of the trapezoid is 27.5 ft  

2 .

Parallelogram

A = bh

A = 4 · 4

A = 16

The area of the parallelogram is 16 ft  

2 .

Find the area of the entryway.

A = 27.5 + 16

A = 43.5

The area of the entryway is 43.5 ft  

2 .

Calculate how much Sal will pay to tile his entryway.

Area · Cost per foot =  Total Cost

43.5 · $1.95 =  $84.83

Sal will pay $84.83 to tile his entryway.

Merek adds 260 and 347. She writes the sum as 7+10+500. What is Merek's mistake?

Answers

Those added together should be 607, so the sum would be 600+7. Hope that helped!

Merek got the correct sum, but her decomposition of 347 is incorrect.

What is arithmetic?

Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division.

Here,
Merek's mistake is that she incorrectly decomposed the two-digit numbers 47 into 40 and 7 instead of 30 and 17.

To add 260 and 347, we can align the digits vertically:

 260

+ 347

-----

 607

So, the sum is 607.

Merek decomposed 347 as 300 + 40 + 7, which gives:

 260

+ 300

+  40

+   7

-----

 607

So, Merek got the correct sum, but her decomposition of 347 is incorrect. She should have decomposed 347 as 300 + 40 + 7, or as 300 + 30 + 17, instead of 300 + 40 + 7.

Learn more about arithmetic here:

https://brainly.com/question/11424589

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Two cruise ships sail from New York to Florida . One ship makes the round trip in 8 days and the other in 10 days . Both ships set sail from New York today. What is the fewest number of days both ships will sail again from New York on the same day ?
Please show work

A. 2
B. 18
C. 40
D. 80

Answers

Answer:

the answer is 40

Step-by-step explanation:

you have to multiply 8x10=80 divied by 20 which equal 40

Answer:

c

Step-by-step explanation:

The triangle shown below has an area of
40
4040 units
2
2
squared.
Find the missing side.

Answers

Answer:

x = 10 units

Step-by-step explanation:

The formula for the area of a triangle of base x and height h is A = (1/2)(x)(h).

Here A = (1/2)(x)(8) = 40, so 8x = 80 and x = 10 units

If we look at this triangle we can see the straight line (the height). We want to use the height to figure out the side? Well divide 40 with the height (8). And now you get 5(cause 5*8 is 40. duh)

A city has an elevation of –752 feet. Which statement describes the city’s elevation?
–752 above sea level
–752 below sea level
752 above sea level
752 below sea level

Answers

Answer:

it is 752 blow sea level

Step-by-step explanation:

just now took it

Answer:

752 below sea level

is the correct answer the other person was right

Step-by-step explanation:

just answered the question


Find the distance between (5,2) and (5,0). PLEASE HELP!!

Answers

Answer:

Its 2 bro

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

use the distance formula

y2-y1

_____

x2-x1

2-0

___

What type of graph does not show the mean?

Answers

The misleading one or the one that miss out information.

"Mean" Means the middle number of the total number. Like add all the number in the graph and divide by 2

Answer:

A bar graph.

Step-by-step explanation:

Because a bar graph is a chart used to represent data visually using bars of different heights or lengths.

Use conversions to solve the problem. Yesenia buys juice to make punch for all her friends. She buys 1 quart of juice and one eighth gallon of juice. How many cups of juice does she ​buy?

Answers

Answer:

The cups of juice that Yesenia buys are:

6 cups.

Step-by-step explanation:

To solve this, you need to know the conversión below:

1 gallon = 16 cups.

Now the paragraph mentions that Yesenia buys 1 quart of juice (that refers to a quart of gallon), then, having the conversion above we can operate with a rule of three:

1 gallon = 16 cups1/4 gallon = X

Solving this we have:

(1/4 * 16)/1 = 4 cups

In the first purchase, Yesenia actually buys 4 cups (that is the same to 1 quart of gallon), next she buys one eighth, then we operate again with the first conversion but using this new quantity:

1 gallon = 16 cups1/8 gallon = X

Solving this we have:

(1/8 * 16)/1 = 2 cups

By last, we add every purchase:

Number cups of juice purchased by Yesenia = 4 cups + 2 cups = 6 cups.

What is the rate of change of a function over a specified interval?

Answers

Answer:

The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval. Finding average rate of change from a word problem.

Step-by-step explanation:

hope this helps plz mrk brainliest


the figure below shows a graph of the function of f(x) in the coordinate plane
Part A: Identify the following key features of the graph:
A. Vertex: ___________________
B. Axis of symmetry: ___________________
C. Y −intercept: ___________________
D. X −intercept(s): ___________________
Part B: Provide a real-world example that would be represented by this function and
tell what the key features above represent.

Answers

Answer:I think one is x

Step-by-step explanation:

Simplify 5(x – 7) + 6x.

Answers

Answer:

11x -35

Step-by-step explanation:

5(x – 7) + 6x.

Distribute

5x - 35 +6x

Combine like terms

11x -35

Answer:

11x-35

is the answer

What is the input value for which g(x) = 3?
x=

Answers

Answer:

3

Step-by-step explanation:

you said it

What is the surface area of this rectangular prism?

Answers

Answer:

Step-by-step explanation:

l = 5 in

w = 5 in

h = 12 in

Surface area of rectangular prism = 2*(lw +wh + hl)

 = 2*(5*5 + 5*12 + 12*5)

  = 2*(25 +60 +60)

  = 2*145

  = 290 in²

Answer:
290
An easy way to do it is 60 *4 because there are 4 rectangles = 240 and 25 *2 for the two squares =50
240+50=290
But u can also do it another way

The data below show the numbers of hours Mrs. Diaz volunteered at the library each month
for eight months.
20, 12, 27, 23, 18, 20, 30, 26
The mean of the data set is 22 hours. What is the mean absolute deviation of the data?
4.5
2
4
2.2

Answers

Answer:

A. 4.5

Step-by-step explanation:

Given:

20, 12, 27, 23, 18, 20, 30, 26

Mean = 22

Required:

Calculate the Mean Absolute Deviation (M.A.D)

Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data

20 - 22 = -2

12 - 22 = -10

27 - 22 = 5

23 - 22 = 1

18 - 22 = -4

20 -22 = -2

30 - 22 = 8

26 - 22 = 4

The we find absolute value of the result above

|-2| = 2

|-10| = 10

|5| = 5

|1| = 1

|-4| = 4

|-2| = 2

|8| = 8

|4| = 4

Lastly, we calculate the mean of the above to give M.A.D

[tex]M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}[/tex]

[tex]M.A.D = \frac{36}{8}[/tex]

[tex]M.A.D = 4.5[/tex]

Option A is correct.

The value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours, option first is correct.

What is the mean absolute deviation?

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance is known as the MAD.

We have data:

20, 12, 27, 23, 18, 20, 30, 26

Mean of the data X = 22 hours

∑(x - X) = 36

MAD = 36/8 = 4.5 hours

Thus, the value of the mean absolute deviation is 4.5 hours if the mean of the data set is 22 hours.

Learn more about the mean absolute deviation here:

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help! Check the picture Please!

Answers

Answer:

Individuals, Corporations, Federal grants

Step-by-step explanation:

If we look at the percentages, we can see:

Individuals- 25%

Corporations- 30%

Federal grants- 45%

If we order them from smallest to largest, we need to rearrange them from smallest percentage to largest percentage. We get:

Individuals, Corporations then Federal Grants

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