Factor completely
486+108x+6x^2

Thank you!

Answers

Answer 1

Answer:

6(x + 9) (x + 9)

or

[tex]6 (x+9)^{2}[/tex]

Step-by-step explanation:

[tex]468 + 108x + 6x^{2} \\6x^{2} +108x + 468[/tex]

Greatest common factor of 6, 108, and 486:

6 x 1 = 6

6 x 18 = 108

6 x 81 = 486

GCF: 6

so:

[tex]6(x^{2} +18x +81)[/tex]

[tex]x^{2} +18x + 81[/tex]

factors to:

(x + 9) (x + 9)

because:

9 x 9 = 81

9 + 9 = 18

So:

It factors completely too:

6(x + 9) (x + 9)

or

[tex]6 (x+9)^{2}[/tex]


Related Questions

Question 8 of 10 A decrease in the amount of principal owed on a loan is called what? A. Note reduction B. Payment number C. Amortization O D. Unpaid balance​

Answers

Answer:

A (Note Reduction)

Step-by-step explanation:

A p e x of course

Answer: note reduction

Step-by-step explanation:

A PE C

Item 2
A student has earned a 98%, 97%, 83%, 94%, and 90% on her unit tests.

What is the student's median unit test score?

Enter your answer in the box.

Answers

Answer: 92.4

Step-by-step explanation: Median is where you add up all numbers and then divide by how many numbers there are so it would be

98+97+83+94+90= 462 Then you divide that by 5 and get 92.4

Hope this helps ^^

what number is 30% greater than 20?

Answers

Answer:

26 is 30% greater than 20!hope this helped have a good day/night

Algebra 2

Help me pls

Answers

Answer:

log (150)=2.176091259

Answer:

log104=2.107

log150=2.176

log1025=3.011

log10570=4.024

log7=0.845

Step-by-step explanation:

To solve these questions, you can just plug them into your calculator:

log104=2.107033339≈2.107

log150=2.176091259≈2.176

log1025=3.010723865≈3.011

log10570=4.024074987≈4.024

log7=0.84509804≈0.845

please help me to understand. Thanks.

Answers

Answer:

B. {(x, y): y = x²}

Step-by-step explanation:

A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.

work out the circumference of this circle

give your answer in terms of pi​

Answers

Answer:

37.68

Step-by-step explanation:

Well, the first thing first is to know the outline of the question. So I made sure I knew the diameter. In this case we didn't, so I multipilied 6 by 2 and got 12. Then I multipyed 12 by 3.14 to get 37.68

If 9% of a number equals 10, find 90% of that number.

Answers

Answer:

100

Step-by-step explanation:

In this problem 10 represents 9% of a number. So, to find 90% you must multiply 10 by 10. You do this because 9% times 10 equals 90%; therefore, 100 must be 90%.

This can also be proven through cross multiplication. To set up a proportion put the percent over the number like, [tex]\frac{9}{10}=\frac{90}{x}[/tex]. Then cross multiply to get the equation, [tex]9x=900[/tex]. Finally, divide both sides to get x=100.

Write an emergency that could happen that would have a financial cost

Answers

Answer:

Your house burning down.

Step-by-step explanation:

You would have to pay to repair it.

Answer:

Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.

The building fire will make people lost their things and the building need to rebuild.

Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.

Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.

Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.

Blasting vehicle will make the things in the car lose. the car need to put the windows on again.

Terrorist attacks will lost lives more than lost money or other things.

Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.

That is all I can think of.

Please help me. I need help

Answers

Answer:

(X+1)(x+5)

Step-by-step explanation:

Answer:

the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)

Please tell me how much it would be for 1

Answers

Answer: tall is 12 dollars

Step-by-step explanation:

The teacher wants to group 87 students into teams which have the same number of students. There must be more than one team. At least how many teams are there and how many students are there in each team?​

Answers

Answer:

3 teams and 29students in each team.

let, the team be x,y,&z

given all the team r equal so, x=y=z

x+y+z=87

3x=87

x=87/3

x=29

we get, x=y=z=29

hope it helps.

Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)

Answers

let x be how much longer she can run the race and still beat her previous time

55(min) + x(min) < 1(hr) + 10(min)

55(min) + x(min) < 60(min) + 10(min)

55 + x < 60 + 10

x < 60 + 10 - 55

x < 15(min)

Answer:

Answer is A

Step-by-step explanation: Taking the test so the answer is A

There are 64 pencils in a pack. Mr. Math is the only teacher to give out pencils on day one and
he gave out 33 pencils. The math department wanted to decide how many total pencils there
are left in the school. Using p for the number of cases of pencils and t(p) for total number of
pencils, write an equation to determine the total number of pencils?

Answers

Answer:

Step-by-step explanation:

0 1  

 3 3 ⟌ 6 4  

     - 0    

       6 4  

     - 3 3  

       3 1  

Explicit formula for

1,5,3,6,12

Answers

I don’t know how ybyybbyyb

Show that sin( + 180°) + 2 cos( − 360°) − sin( − 180°) = 2x

Answers

Answer:

Example 1: Change sin 80° cos 130° + cos 80° sin 130° into a trigonometric function in ... Example 2: Verify that cos (180° − x) = − cos x ... Example 7: Verify that sin (360° − x) = − sin x.

2. Which are not the measures of the sides of a right triangle?
A. O 1, 3,3
B.O 2,2,3,4
cks 1, 3,2
D.O

Answers

Answer:

B. because there are too many side lengths to be a triangle

B. I know im right okay!

The ratio of the vertical change to the horizontal change to any two points on a line is called _______ of the line

Answers

Answer:

The ratio of the vertical change to the horizontal change to any two points on a line is called ___slope___ of the line

Step-by-step explanation:

Slope will be your answer, hope this helps!

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 1.00 millimeters. Enter your answer in accordance to the item a) of the question statement (b) What thickness is exceeded by 90% of the flanges

Answers

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that [tex]a = 0.95, b = 1.05[/tex]

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

[tex]P(X > x) = 0.9[/tex]

So

[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]

[tex]1.05 - x = 0.9*0.1[/tex]

[tex]x = 1.05 - 0.9*0.1[/tex]

[tex]x = 0.96[/tex]

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Simplify 5u^2w^3 x 7uw^3

Answers

Answer:

35u³w⁶

Step-by-step explanation:

Given:

5u²w³

and

7uw³

Find:

Product

Computation:

5u²w³ x 7uw³

35u³w⁶

As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate.

If we each whitewash one side, I'll finish in $2$ hours and my brother will finish in $3$ hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?

Answers

Answer:

60 minutes which grade

are you in I did it I think

Step-by-step explanation:

I Finish Work in 2 hrs

Work done in 1 Hr = 1/2

Brother Finish work in 3 Hrs Work done in 1 hr = 1/3

Let Say both Complete Work in T hrs as it has to be painted on both sides

Then T (1/2+1/3) = 2

=> T × 5/6 = 2

=> T = 2 Hr 24 Mins

=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping

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Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...

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10 men can complete a job in 200 days. They started the work. After...

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What are the next terms in the sequence 19, 36, 53,70​

Answers

It is adding 17 to each term...so 19+17=36, then 36+17=53, then 53+17= 70 so you keep adding 17 based on this pattern

The chart shows the temperatures at noon during a week in January. HELP
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Temperature
-6°F
0°F
5°F
-3°F
3°F
Which day was the coldest?
A. Monday
B. Tuesday
C. Thursday
D. Friday

Answers

Monday was the coldest day of the week, at -6 degrees Fahrenheit.

I’d say Monday is the closest day of the week

The lines graphed below are parallel. The slope of the red line is 2/5. What is the slope of the green line?

Answers

Answer:

It's D: 2/5

Step-by-step explanation:

Parallel lines have the same slope.

what is 4x + 8 = 10 ​

Answers

Answer: x= 1/2

4x+8=10 1. Subtract 8 from both sides
-8 -8
——————
4x=2 2. Divide each side by 4
/4 /4
—————— 3. Simplify fraction
x=1/2

URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??

Answers

Answer:

493g.

Step-by-step explanation:

may kapangyarihan bilang pinakamataas na hukuman sa kolonya​

Answers

Answer:

which language is this .

plzzz need help for this question ​

Answers

????????????????????????????

Sale 10 % off During the sale, Susan pays $603 for a wedding cake. What was the original price?

Answers

$670 is the correct answer!

Answer:

$670

Step-by-step explanation:

1/10x + 603 = x

x -10x = -6030

-9x = -6030

x = 670

HELP!! Which figure is a translation of Figure 1? *

Answers

Answer:

Figure B

Step-by-step explanation:

A translation moves a certain amount of spaces, but will never turn nor will it rotate.

What is equivalent to (2x - 5)(9-2)

Answers

Answer:

14x - 35

Step-by-step explanation:

:)

14x-38

When u foil it, u get
18x-4x-45+7

Combine like terms, u get

14x-38
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