what is the factorization of the trinomial below -2x^3-2x^2+12x

Answers

Answer 1

-2x^3 - 2x^2 + 12x

Because we can pull out a common factor, we'll do that first to simplify the expression.

-2x(x^2 + x - 6)

Now, let's see if we can split the middle term.

Display factors of -6.

-6 * 1

-1 * 6

-3 * 2

3 * -2 (these digits satisfy the requirements for splitting the middle term)

Split the middle term.

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

Group terms in pairs of two.

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

Factor each binomial.

-2x((x(x + 3)) - (2(x + 3)))

Rearrange the terms.

-2x(x - 2)(x + 3) is the fully factored form of the provided trinomial.  

Answer 2
Final answer:

The factorization of the trinomial -2x^3-2x^2+12x includes first factoring out the common factor -2x, and then further factoring of the trinomial within the parenthesis results in the final factorization as -2x(x-2)(x+3).

Explanation:

The trinomial in this question is -2x^3-2x^2+12x. The process we use to factor this trinomial would be to first factor out the greatest common factor (GCF) for all the terms. In this case, the GCF is -2x.

 

So, if we factor out -2x, we get: -2x(x^2+x-6).  We can continue to factor the trinomial (x^2+x-6) inside the parenthesis then. We find that it factors to (x-2)(x+3).

 

Thus, the final factorization of the original trinomial is -2x(x-2)(x+3).

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Related Questions

Somebody help me please
3 hours 20 minutes + 1 hour 48 minutes = ___ days
A. .2278
B. .1951
C. .2417
D. .2139

Answers

The answer is C .2417 because you add them then divide by 7

Final answer:

To add 3 hours 20 minutes and 1 hour 48 minutes, you add the hours and minutes separately. Then convert the total to days.

Explanation:

To add 3 hours 20 minutes and 1 hour 48 minutes, you can simply add the hours together and the minutes together separately. Start by adding the hours: 3 + 1 = 4 hours. Then add the minutes: 20 + 48 = 68 minutes. Since there are 60 minutes in an hour, you can convert the excess minutes to hours by dividing by 60: 68 ÷ 60 = 1 hour. This gives a total of 5 hours. Therefore, 3 hours 20 minutes + 1 hour 48 minutes = 5 hours 8 minutes.



To convert this to days, divide the total number of minutes (308) by 60 to get the number of hours (5) and then divide by 24 to get the number of days: 5 ÷ 24 ≈ 0.2083 days.

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What is the perimeter of kite ACBO? 31 units 56 units 62 units 64 units

Answers

the answer is 62 units because of the way the kite looks. a kite has 5 to 4 sides and if you divide that you will get sixty two units per unit.

The perimeter of kite ACBO is 62 units. Therefore, option C is the correct answer.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

From the given kite ACBO, OB=7 uints and OC=25 units.

Here, ∠OBC=90° (Angle between radius and tangent is 90°)

By using Pythagoras theorem,  

BC²=OB²+OC²

25²=7²+OC²

625=49+OC²

OC²=625-49

OC²=576

OC=24 units

So, perimeter=2(a+b), where a and b are adjacent sides

= 2(7+24)

= 2×31

= 62 units

Therefore, option C is the correct answer.

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How do you graph the inequality of 4x-2y≤6 ?

Answers

4x - 2y ≤ 6      subtract 4x from both sides

-2y ≤ -4x + 6     change the signs

2y ≥ 4x - 6     divide both sides by 2

y ≥ 2x - 3

y = 2x - 3 - it's a linear function. We need only two points to plot the graph.

Choose any two values of x and calculate the values of y:

for x = 0 → y = 2(0) - 3 = 0 - 3 = -3 → (0, -3)

for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1)

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

<, > - dotted line

≤, ≥ - solid line

<, ≤ - shaded to left

>, ≥ - shaded to right

5c-9=-9 plz sloveeeeeeeeeeee

Answers

Move all terms that don't contain c to the right side and solve.

Answer: c = 0

PLZZZZZZZZZZZZZZZZZZ HELP I WILL GIVE BRAILIEST
how do you find the domain and range from a table graph

Answers

The domain is x and the range is y

Your x values are your domains and your y values are your ranges.

All the members of a construction crew work at the same pace. Four members of the crew, working together, are able to pour foundations in 32 hours.
a
How many hours would this job take if there were half as many workers?

Answers

This would take 16 hours.

Help please, and thank you

Answers

Answer:

Refer below

Step-by-step explanation:

5) 9x+2 = 119 (alternate angles of a parallel line)

Hence 9x = 117: x=29 degrees.

6) 12x-8 and 108 are supplementary

Hence 12x+100 = 180 Or 12x= 80 :

x = 20/3

7) 5x+7 = 8x -71

(since vertically opposite angles equal and corresponding angles equal)

3x= 78 or x = 26

8) 7x-61 = 4x-7:3x= 54 orx = 18

9) 9x+25 = 13x-19

4x = 44: x=11:  17y+5 = 13(11)-19

y -7

10) 9x-36 =180 : x = 24: 8y+17 = 6(24)-7

8y =120: y =15

11) 7x-23 =49+3x(exterior angle of triangle)

Or 4x = 72: x=18 : 3x =11y-1

y =5

12) 5x-38 = 3x-4

2x = 34 or x =17

7y-20 = 5(17)-38

= 47

y = 67/7



Can someone explain this math problem to me?

So, (7.14 x 10^10) + (3.21 x 10^10) equals 1.035 x 10^11, but what I'm stuck on, is how does 10^10 end up being 10^11?

Answers

Given problem is:

[tex](7.14\times10^{10})+(3.21\times10^{10})[/tex]

step by step solution:

we will add similar elements.

[tex]10^{10}(7.14+3.21)[/tex]

= [tex]10^{10} (10.35)[/tex]

Now converting [tex]10^{10}[/tex] in decimal form we get 10000000000 (10 zeroes)

Now multiplying 10.35 with 10000000000 we get 103500000000 (8 zeroes)

or we can change it to exponential form like [tex]1.035\times10^{11}[/tex]

11 because when you count from the extreme right end '0' and come counting to the left side, you skip 11 numbers till you reach the first number '1'. And when you put a decimal after 1st number, so the last '0' is at the 11th place, that is why it is [tex]10^{11}[/tex] .


A scuba diver descends 63 feet in 18 seconds. What number represents the change in the diver's position in feet per second?

Answers

I believe the answer is 3.5

half of a number decreased by four

Answers

An expression representing this word problem would be (x/2) - 4. Another qay that would qork to write this is x/2 - 4 (no parentheses) because order of operations would still have you do the division first. This is because it is telling you to subtract four from half of a number (x). Since we are just given "a number", we use a variable, in this case x. Hope this helps!

change 1.34 repeating into a fraction

Answers

[tex]x=1.\overline{34}\\\\x=1.343434...\qquad|\cdot100\\\\100x=134.343434...\\\\100x-x=134.343434...-1.343434...\\\\99x=133\qquad|:99\\\\x=\dfrac{133}{99}[/tex]

Simplify: (25 + 17) – |37 – 13| A. 15 B. 18 C. 20 D. 21

Answers

First we solve modulus

| 37-13| =|24|= 24

Now solving Bracket

25+17 = 42

Therefore, 42 - 24 = 18

Hi!

[tex](25 + 17) -|37 - 13|[/tex]

[tex]25+17-37-13[/tex]

[tex]37-13=24[/tex]

[tex]25+17-24[/tex]

[tex]Answer--->=18[/tex]

Explanation: This question is super easy. First you had to remove parenthesis first.  Then you put 37-13=24 or 25+17-24 and it gave us the answer is =18 is the right answer. Hope this helps! And thank you for posting at here on Brainly. And have a great day. -Charlie.

Show all the ways to take 10

Answers

10-1 10-2 10-3 10-4 10-5 10-6 10-7 10-8 10- 9 10-10

The Blue Jays’ soccer field has 53 bleachers that can each seat exactly 12 people. The Tigers’ soccer field has 48 bleachers that can each seat exactly 16 people.

What is the difference in the number of people who can be seated at the Blue Jays’ soccer field compared to the Tigers’ soccer field?

(ENTER ANSWER HERE)

Answers

4 because 16-12 is 4 and that’s the difference of how many people can sit in the bleachers

VerZion sells the iPhone X for $899. If the monthly plan for service is $65 per month what is the linear equation for the cost of buying and using the new iPhone with Verizon. What is the total cost after 24 months ?

Answers

899$ is the y intercept because that is your starting value. Then, 65 is your slope. (Rise 65, run 1). After 24 months, the total cost will be 2459$. This is because 24 • 65 = 1560. This is your total cost of phone service. Then, you need to add the phone. 1560 + 899 = 2459. So you total cost is 2459.
Final answer:

The linear equation for the total cost of buying and using the new iPhone with Verizon is total cost = $899 + ($65 * 24), which simplifies to $2459 for 24 months.

Explanation:

To find the linear equation for the cost of buying and using the new iPhone with Verizon, we need to consider the initial cost of the iPhone and the monthly plan cost. Let's assume the initial cost of the iPhone X is $899 and the monthly plan is $65. We can represent the total cost after 24 months as a linear equation.

The equation can be written as:

total cost = initial cost + (monthly plan cost * number of months)

Since we want to find the total cost after 24 months, we substitute the values into the equation:

total cost = $899 + ($65 * 24)

Simplifying the equation:

total cost = $899 + $1560 = $2459

Therefore, the total cost after 24 months would be $2459.

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How do you solve the indicated variable?
6=mx+b for x

Answers


[tex]6 = mx + b \\ 6 - b = mx \\ \frac{6 - b}{m} = x[/tex]
all you have to do is switch it and it should look like this 6-b/m=x

What is the slope of the line through (-1,8) and (3,-4)?

Answers

Hey there!!

How do we find slopes ?

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

We are given with two co-ordinates :

(-1,8) and (3,-4)  

Hence, the slope is :

[tex]\frac{-4-8}{3+1}[/tex]

... [tex]\frac{-12}{4}[/tex] = -3

The slope is -3.

Hope my answer helps!

3ft to 4yd as a ratio as a fraction in simplest form

Answers

Answer:

1/4

Step-by-step explanation:

3 feet = 1 yard

therefore in fraction form 1 yd over 4 yd

3 : 12 = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex] in simplest form

we require the 2 measures to be in the same units

using 1 yard = 3 feet then 4 yards = 4 × 3 = 12 feet

ratio = 3 : 12 = [tex]\frac{1}{4}[/tex] as a fraction in simplest form


the number g devided by the number h is the same as seven more than twice the sum of g and h. translate into equation

Answers

Answer:

[tex]\frac{g}{h}=2(g+h)+7[/tex]


Step-by-step explanation:

1. You have that the number [tex]g[/tex] is divided by the number [tex]h[/tex]. Then:

[tex]\frac{g}{h}[/tex]

2. The words "is the same" indicates that you must write an equals sign after the division. Then, it says that it is seven more than twice the sum of [tex]g[/tex] and [tex]h[/tex]. This means that the sum of these two numbers are multiplied by 2  and then you must add 7:

[tex]\frac{g}{h}=2(g+h)+7[/tex]

Which activity did artists do during the enlightenment?

Answers

Answer:

They place more emphasis on science.

Step-by-step explanation:

The enlightenment emerged in 18th-century, which brought ideas that were deeply influenced by reason, empiricism and classics.  It restructured the old Greek and Roman ideas to make new inventions, and was changing ideas due to reasoning. It was the idea behind the invention of sculpting, a new way of passing ideas or information to people more than through paintings.

Enlightenment initially started with assembling of ordinary materials by a process termed sculptural construction, did not mean exactly the same thing to everybody.

During the enlightenment, artists placed more emphasis on science.

Artists during the Enlightenment shifted from Rococo to Neoclassicism and used their works to convey political messages.

Artists during the Enlightenment played a crucial role in spreading Enlightenment concepts and inspiring rational thinking. The dominant artistic style shifted from Rococo to Neoclassicism, focusing on clarity, logic, and order. Artists like Jacques-Louis David depicted themes of democracy and political statements in their works.

Find the missing side
V=252ft3
7ft , 3ft , ??ft

Answers

v=252

7*12*x=252

84x=252

3ft

Can somebody please answer 12 and 14. Or at least 12!! PLEASE!!!

Answers

12.

 -4/7*-3/5*7/3 = -4/5

-4/5 / -7/3 = 12/35

14.

-2/3*1/2*-6/7 = 2/7

You're Welcome!

X-2/5=7 what does x equal

Answers

Let's solve your equation step-by-step'


X-2/5=7

Step 1: Simplify both sides of the equation.

x+-2/5=7

Step 2: Add 2/5 to both sides.

x+-2/5+2/5=7+2/5

x=37/5

Answer

x=37/5

Hi!

[tex]x-\frac{2}{5}=7[/tex]

[tex]x-\frac{2}{5}+\frac{2}{5}=7+\frac{2}{5}[/tex]

[tex]x=\frac{37}{5}[/tex]

Explanation: First you had to add 2/5 from both sides. Then simplify, and the answer is x=37/5 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

The garden club earned, $15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?

Answers

The right answer is 15t times 2.

The garden club earns 15 dollars per hourt is the hoursA generous donor doubles their earningsDouble means times 2

The right answer is 15t times 2.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

The garden club earned, $15 per hour by weeding neighborhood gardens for t hours.

A generous donor has agreed to double their earnings.

now,

The garden club earns 15 dollars per hourt is the hoursA generous donor doubles their earningsDouble means times 2.

hence, The right answer is 15t times 2.

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Y apples at $0.35 each

Answers

What is it that you are asking?

The formula C = 0.35y efficiently calculates the total cost of y apples at $0.35 each. It demonstrates a straightforward linear relationship between cost and quantity.

To find the total cost (C) of y apples priced at $0.35 each, you can use the equation C = 0.35y. This formula multiplies the cost per apple ($0.35) by the number of apples (y) to give you the total cost. For instance, if you want to buy 10 apples (y = 10), the calculation would be C = 0.35 * 10, which equals $3.50.

This equation works because it represents a simple linear relationship between the cost and the quantity of apples. Each apple adds $0.35 to the total cost. Therefore, by multiplying the cost per apple by the number of apples, you get the overall cost.

Remember, this formula assumes a constant price per apple. If the price were to change, the equation would need to be adjusted accordingly. This calculation is useful for budgeting and understanding the cost implications of buying a specific quantity of apples at a given price.

Complete question:

What is the answer to y apples at $0.35 each

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If a train travels 270 miles in 3 hours what is the train's average speed

Answers

270miles/3hours =90m/hr



What is the answer

Answers

Hello!

To find the answer to this question we first need to find the weekly average.

If we divide 4,320 by 9, we are given an average of $480 per week.

Since we are given the information that Robin works 50 weeks during the year, we can multiply that value by 50 which equal to $24,000.

Hope this helps.

What is -7x-3x+2=-8x-8 show your work

Answers

Answer:

x = 5

Step-by-step explanation:

First, we need to move all the x's onto one side:

-7x-3x+8x = -8-2

Then, we simplify:

-2x = -10

To find x, we need to divide each side by -2:

So then x = 5

This is my work and answer

if a certain number is added to 24, the result is the same as if the number were multiplied by 3. what is the number?

Answers

The answer is the number 12. This is because if 12 is added to 24 it equals 36 and if 12 is multipled by 3 it is 36.

If a certain number is added to 24, the result is the same as if the number were multiplied by 3 the certain number is 12.

Let's assume the certain number is represented by "x."

According to the given information, if the number is added to 24, the result is the same as if the number were multiplied by 3. This can be written as the following equation:

x + 24 = 3x

Now, let's solve for "x":

Subtract "x" from both sides to isolate the "x" term on one side:

x + 24 - x = 3x - x

24 = 2x

Now, divide both sides by 2 to solve for "x":

x = 24 / 2

x = 12

Therefore, the certain number is 12.

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Laura is on her way home in her car. She has driven 24 miles so far, which is three fourths of the way home. What is the total length of her drive?

Answers

24/3=8 so 8•4=32 which is 4/4 of the way!
Is 32 because if you multiply them by 8 which is 1•8is8,2•8is16,3•4is24 like you said and 8•4is32. Which is our answer
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