Which is the completely factored form of 18x4 – 42x3 + 24x2?
3x(3x - 4)(2x - 2)
3x2(3x - 4)(2x - 2)
6x(3x – 4)(x - 1)
6x²(3x - 4)(x - 1)

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The completely factored form is 6x² (3x - 4) (x - 1).

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

18[tex]x^4[/tex]– 42x³ + 24x²

Now,

The common factor of 18, 42, and 24 is 6.

And x² is common to all the terms.

So,

6x² (3x²– 7x + 4) _____(1)

Now,

(3x²– 7x + 4)

3x² - (4 + 3)x + 4

3x² - 4x - 3x + 4

x(3x - 4) - 1(3x - 4)

(3x - 4) (x - 1) ______(2)

Now,

From (1) and (2) we get,

6x² (3x - 4) (x - 1)

Thus,

6x² (3x - 4) (x - 1) is the completely factored form.

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Related Questions


4. Changer =
to an equiv-
1 + 2 sin e
alent rectangular equation.

Answers

I don’t know what ur trying to say but 1+2=3 sorry if this doesn’t help you

13 = 11 - 4x
Two step equation please help?

Answers

Exact form: X= -1/2
Decimal form: X= -0.5

Let xy=6 and x2 + y2 = 23 what is the value of (x+y)??

Answers

Answer:

I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.

Step-by-step explanation:

This problem invovles completing the square, so if I square (x+y), I get

x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.

Which best describes the solution set of the compound inequality below?

Answers

Answer:

Option B. 4<=x<=6 is the solution set.

3) You paid $5 for a bucket of popcorn and $1.25 per candy bar. How many candy bars
can you buy to spend no more than $10?

Answers

4 dollars flat $4.00

Step-by-step explanation:

1.25x4= 5$ 5$+5$=10$

Answer:

4 candy bars

Step-by-step explanation:

you have to subtract $5 from $10, which is $5, then take the .25 from the candy bar. Add $4 candy bars to $5, $9, and then add in the .25. .25 times 4 is $1, and $9+$1 is $10

The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that was 9 days late. If his sister Sydney had a fee of $1.92 for a late book, how many days late was the book?​

Answers

Answer:

16 days

Step-by-step explanation:

1.08 $:9 days

1.92 $: x

1.08 x: 17.28

x = 16

Order the steps to show how to solve the equation 2(4x−11)+9=19.

Answers

Answer:

4

Step-by-step explanation:

2(4x-11)+9=19

8x-22+9=19

8x-13=19

8x=32

x=4

A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes per order through bin location and routing optimization. You are given an opportunity visit an existing customer of the vendor. The customer allowed you to collect data for further analysis. You performed a time study and collected data about pick, pack ship duration of 25 shipments. Given, the data in the attached excel sheet
(Q1) perform a hypothesis testing by Use alpha=0.05 for hypothesis testing.
a. Stating your null and alternate hypotheses
b. Perform the proper hypothesis test and discuss your assessment of the vendor's claim.

Answers

Answer:

a

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  [tex]\mu  =  3 \  minutes =  180 \  seconds [/tex]

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  [tex]\alpha =  0.05[/tex]

     The null hypothesis  is  [tex]H_o  :  \mu  = 180[/tex]

      The alternative hypothesis is  [tex]H_a :  \mu  <  180[/tex]

Generally the sample mean is mathematically represented as

        [tex]\= x  =  \frac{156 + 136 + \cdots  + 181}{25}[/tex]

=>      [tex]\= x  = 173.2 [/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }[/tex]

=>    [tex]\sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }[/tex]

=>    [tex]\sigma  =  24.261[/tex]

Generally the test statistics is mathematically represented as

      [tex]t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]

=>   [tex]t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }[/tex]

=>   [tex] z = -1.40[/tex]    

Generally p-value is mathematically represented as

  [tex]p-value  =  P(Z <  z)[/tex]

=>  [tex]p-value  =  P(Z < -1.40)[/tex]

From the z-table  

   [tex]P(Z < -1.40) =  0.080757[/tex]

=>   [tex]p-value  = 0.080757 [/tex]

From the obtained value we that  [tex]p-value >  \alpha[/tex]

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

   

hey,what is bisexual

Answers

It means that you like boys and girls
When you are attracted to men and women emotionally and sexually.

Who is the better rapper Drake or Kendrick

Answers

Answer:

Drake

Step-by-step explanation:

Answer:

Drake

Step-by-step explanation:

(-4b2+8b)+(4b3+5b2-8b)=

Answers

Simplified: 4b to the power of 3 +b to the power of 2

The solution of the expression (- 4b² + 8b) + (4b³ + 5b² - 8b) would be

(4b³ + b² ).

Used the concept of the equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that,

The equation is,

(- 4b² + 8b) + (4b³ + 5b² - 8b)

Now, combine like terms of the equation and simplify as,

(- 4b² + 8b) + (4b³ + 5b² - 8b)

4b³ - 4b² + 5b² + 8b - 8b

4b³ + b²

Therefore, the solution is (4b³ + b² ).

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134d) Graph the hyperbola, identify the center, vertices, foci, and equations of the asymptotes

49y^2−25x^2−196y−200x−1429=0

IF YOU ARE GOOD AT MATH, PLEASE HEAD OVER TO MY PROFILE, IN THE QUESTIONS TAB AND ANSWER THE QUESTIONS STARTING FROM THE ONE MARKED 132B!

best answers get marked 'brainliest'!

Thank you!

Answers

Answer:

Step-by-step explanation:

49y^2 - 25x^2 - 196y - 200x = 1429

49y^2-196y+196 - 25x^2-200x-400 = 1429+196-400

49(y-2)^2 - 25(x+4)^2 = 1225

(y-2)^2/25 - (x-4)^2/49 = 1

So now you know that you have an hyperbola with

center at (-4,2)

foci at (-4,2±[tex]\sqrt{74}[/tex])

vertices at (-4,2±5)

asymptotes 7y±20 = ∓5x+14

is 4:3 and 3:4 equivalent

Answers

Answer: No

Step-by-step explanation:

sorry but nope...........

What is the equation for the line?

Answers

Answer:it may be the first one but I can’t see the lines on the graph clearly.

Step-by-step explanation:

Select all of the nets that can be folded and assembled into a triangular prism like this one.

Answers

The nets that can be folded into the prism are A and D

The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

What is Triangle?

A triangle is a three sided polygon, which has three vertices and three angles.

Given that;

The triangular prism figure after fold is given.

Now, The triangular prism figure is contain two triangles and three squares.

So, In option A;

There are two triangles and three squares.

And, In option D;

There are two triangles and three squares.

Thus, The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

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What is the measure of AC?

Answers

Answer:

The measure of AC is 4 and 46.

Step-by-step explanation:

What is 2/5 + 1/4+7/10

Answers

Answer:

1 7/20

Step-by-step explanation:

Answer:

27/20 or 1 7/20

Step-by-step explanation:

1) make the denominators the same

2/5 multiplied by 4 on top and bottom =8/201/4 multiply by 5 = 5/207/10 multiply by 2 = 14/20

2) add the numerators

8+5+14=27

3) the denominator stays the same

27/20

4) simplify it to 1 7/20

9+10
A.21 B.19 C.1 D.90

Answers

Answer: 19 XD

Step-by-step explanation: u add

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010.

Answers

Complete question :

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

Answer:

$265,720

Step-by-step explanation:

Given that:

State gasoline tax = $0.26 per gallon

Average number of gasoline sold per day = 1,022,000 gallons

. From the availabke information given :

Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold

= $0.26 * 1,022,000

= $265,720

The average revenue from gasoline tax in 2010 is $265,720.

Calculation of the average revenue:

Since the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day

So, here the average revenue should be

= 0.26 of 1,022,000

= $265,720

hence, The average revenue from gasoline tax in 2010 is $265,720.

This is an incomplete question. Please find the complete details below.

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

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What sets of numbers are included in the real numbers

Answers

Answer:

−3, −2, −1, 0, 1, 2, 3

14÷5983 step by step​

Answers

0.23% or 0.00233996

14/5983 calculate the approximate value and get 0.00233996


Which is equivalent to 3^4

Answers

Answer:

81

Step-by-step explanation:

3^4

=3*3*3*3

=81

Hope this helps!!

Simplify the following expression............

PLEASE HELPPP! it’s due todayyyyy

Answers

The answer is 3k^2 m^6/ 4

You would put the first half on top of the four.

Complete this sentence: The shortest side of a triangle is always opposite the _____
A. second-longest side
B. longest side
C. angle with the smallest measure
D. angle with the greatest measure

Answers

By answering the above question, we may state that  angle with the smallest measure, the smallest-measured angle

what are angles?

An angle is a form in Euclidean geometry made composed of two rays, referred to as the angle's sides, that converge at a centre point known as the angle's vertex. In the plane where they are positioned, two rays may come together to make an angle. A planar collision produces an angle as well. Dihedral angles are what these are known as. A potential arrangement of two rays or lines that share a termination is called an angle in plane geometry. The Latin word "angulus," which means "horn," is where the English word "angle" originates. The intersection of the two rays, often referred to as the angles' sides, is known as the vertex.

angle with the smallest measure

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A zoo has 400 animals. If 40% of the animals are sick, how many animals is
that

Answers

160 animals are sick

Answer:

160 animals

Step-by-step explanation:

what is a point-slope equation of the line with slope -10 that goes through the point (1,4)

Answers

Answer:

The answer is

[tex]y - 4 = - 10(x - 1)[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

So we have the final answer as

[tex]y - 4 = - 10(x - 1)[/tex]

Hope this helps you

Choose the simplified form of the expression,
5x + 6x?- 2x + x
I need it fast please!!!

Answers

Answer:

10x

Step-by-step explanation:

If the question mark is an accident, the answer is 10x.

5x+6x-2x+x

11x-2x+x

9x+x

10x

Hi :)

First add 5x and 6x
5x + 6x = 11x

11x -2x + x

Combine 11x and -2x to get 9x

9x + x= 10x

Hope this helps!

a group a friends share 3 1/2 slices of cake. each friend get half a slice of cake. how many friends shared the slices of cake.

Answers

Answer:

7

Step-by-step explanation:

3×2

6+1

7

You multiple it by 2 since it is 1/2 and not a whole piece

Answer:

7

Step-by-step explanation:

3 1/2 divided by 2 is 7

Which number is equivalent to –(–2)?

Answers

The first negative sign cancels out the second, so 2 is equivalent to -(-2).

2

A double negative number becomes a positive.

-(-2) = 2

The answer is positive 2

I really need help with this ?

Answers

Answer:

Answer=44

Step-by-step explanation:

Rectangle: 6x4=24.

Triangle: 4x4=16, and 16/2=8.

Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.

Overall: 24+8+8=44 cm squared.

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