What is the factorization of 216x12 – 64? (6x3 – 4)(36x6 24x3 16) (6x3 – 4)(36x9 24x3 16) (6x4 – 4)(36x8 24x4 16) (6x4 – 4)(36x12 24x4 16)

Answers

Answer 1

The solution to the given expression is (6x^4-40)(36x^8+48x^4+16)

What will be the equation?

We have the following expression

[tex]=216x^{12}-64[/tex]

we can also write it as

[tex]=(6x^4)^3-(4)^3[/tex]

Now from the formula

[tex]a^3-b^3=(a-b)(a^2+b^2+2ab)[/tex]

[tex](6x^3)-(4)^3=(6x^4-4)((6x^4)^2+(4)^2+(2\times 6x^4\times 4)[/tex]

[tex](6x^3)-(4)^3=(6x^4-4)((6x^8+16+(48x^4))[/tex]

[tex](6x^3)-(4)^3=(6x^4-4)(6x^8+48x^4+16)[/tex]

Thus the solution to the given expression will be

[tex](6x^4-40)(36x^8+48x^4+16)[/tex]

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Related Questions

Plz help: If you know two points on a line, why can you write two different equations for that line?

Answers

Answer:

Yes

Step-by-step explanation:

I think so but im not 100% sure sorry if im inncorrect.

Answer: since there are two points there should be two equations so you could find the final equation for that whole line

Step-by-step explanation:

find the sum. 2/5 + 1/2​

Answers

2/5 + 1/2

4+5 / 10 • look for the LCD of 5 and 2
which is 10 then 5 goes 2
times into 10 the multiply by 2
= 4. Then 2 goes 5 times into
10 then multiply by 1 = 5.

Therefore the sum of 2/5 + 1/2 =9/10

Answer:

9/10 NINE OVER 10

Step-by-step explanation:

To add two fractions they must be over a common denominator, which for this problem is  10. To put each fraction over a common denominator we must multiply each fraction by the appropriate form of  1. 2/5 + 1/2 ( 2/2 X 2/5 ) +  (5/5 X 1/2 ) --> 4/10 + 5/10

We can now add the numerators of the two fractions over the common denominator: 4/10 + 5/10 ---> 4+5/10 ---> 9/10.

Hope this helps! I know what does though, marking me brainliest.

Ed's class took a field trip to the art museum. They left school at 10:45 A.M. It took them 15 minutes to drive to the museum. They stayed at the museum for 1 hour and 45 minutes. What time was it when Ed's class left the museum?

Answers

Answer:
12:45

10:45 + 15 minutes = 11:00

11:00 + 1 hour and 45 minutes = 12:45

Think of it as:
11:00
+1.45
———
12:45

Math escape room maze ( I need help) I know it goes A,E,I but I don’t know what goes next)

Answers

Answer:

9

Step-by-step explanation:

Use angle summation:

∠HGE + ∠EGF = ∠HGF

3x + 11 + 110 = 16x + 4

117 = 13x

x = 9

Answer:

IK = 30

Step-by-step explanation:

31-12=19

49-19-12=18

12+18=30

what are you all being for Halloween?

Answers

I’m going to be a princess but 2020 addition

RAVEL Four members of the Kaplan family will take a river trip down the Colorado River in Colorado State Park. The rafting company charges $10 per day to rent the raft and $15 per person for a half-day river trip, or $100 flat rate for a half-day river trip. The raft can hold up to 10 people. A. How much will the trip cost the Kaplan family at the per person rate? B. How many people must be on the river trip to make the flat rate less expensive than the per person rate?

Answers

Answer:

(a) $16.25

(b) 7

Step-by-step explanation:

Rent of 1 raft for 1 day= $10

So, rent for 1 raft for half-day=10/2=$5

Charge for 1 person for half-day river trip =$15

Flat rate for half-day river trip=$200

(a) There is 4 member of the Kaplan on the trip.

One raft can hold up to 10 people, so, they need to take 1 raft on rent.

Rent of 1 raft for half-day =$5

Charge for 4 persons for half-day river trip =$15x4=$60

Total cost for the half-day trip for 4 persons=5+60=$65

Cost for half-day trip for 1 person= $65/4=$16.25

(B) Let there are n peoples on the river trip.

For the number of people up to 10, they need to take one boat on rent.

Total per person cost=(Cost for rent of 1 boat for half-day)+( Cost for half-day river trip)

=5+15n.

Cost for flat rate= (Cost for rent of 1 boat for half-day)+( Flat rate cost)

=5+100

The condition for which the flat-rate cost is less expensive than the per person rate cost is

[tex]5+100<5+15n[/tex]

[tex]\Rightarrow 100<15n[/tex]

[tex]\Rightarrow n>\frac{100}{15}[/tex]

[tex]\Rightarrow n>6\frac{2}{3}[/tex]

As n is the number od person which cant be a fractional value, so

n=7,8,9,... or [tex]n\geq7[/tex]

So, a minimum of 7 people must be on the river trip to make the flat rate less expensive than the per person rate.

What will be the value of y?

Answers

Answer:

The answer is 40.

Step-by-step explanation:

Both of the angles given are congruent. 2y-10=70. To get y, you must multiply 2 and 40 together, making 80. Then you subtract it by 10, making it 70 degrees.

PLEASE HELP ME FRIEND ​

Answers

Answer:

The first two.

Step-by-step explanation:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Answer:

[tex]{\huge{\pink{\underline{\underline{Answer}}}}}[/tex]

Triangle ABC and Triangle XYZ are cngruent due to S.S.S. congruence rule...

Write the equation of the line below

Answers

Y=1x-1 or Y=x-1. Either one is correct.

-1/8(2h+4)+1/2= -7/4 ​

Answers

Answer:

h=7

Step-by-step explanation:

How do I write the two equations?

Answers

From my knowledge I got (5x+3y)=48 and 6+(5x+3y)=180

which number is an irrational number? A 40 .B 49 C 100 D 9

Answers

Answer:

b :)

Step-by-step explanation:

3+ (-5)
Help me please

Answers

Answer:

-2

Step-by-step explanation:

3 + - 5 is basically 3 -5 because when a negative meets a positive the signs turn into a negative.

3 -5 is 5 less than three which is -2.

(2) Un recién nacido tiene alrededor de 26,000,000,000 células. Un adulto tiene unas 4.94 x 1013células. ¿Cuántas veces tiene un adulto que un recién nacido?

Answers

Answer:

54

Step-by-step explanation:

thetvdjsvahchcbdsbh


Mr. Mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the
ground, descending at a constant rate. After 6 minutes, he was 16 meters below the ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after 3 minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y =

Report a problem

Answers

Answer:

it would be 34

Step-by-step explanation:

Answer:

y= -1.5x-7

Step-by-step explanation:

y= -16 (total amount of meters below ground)

m= -1.5 (slope; meters he descends per minute)

x= 6 (minutes)

b= -7 (starting point)

thus; y= -1.5x-7

because; -16=(-1.5)(6)-7

note; remember, they are descending so most of your values will be negative

need help quick, please and thank tou

Answers

Answer: C

Step-by-step explanation:

This table shows the top athletes that play both football and basketball. What is the intersection of the set of football players and the set of basketball players? Football Basketball Ahmed Corelli Corelli Donaldson Jimenez Jeffers Miller Nicholas Petersen Yao Yao Zamora {Corelli, Jimenez} {Corelli, Yao} {Yao} {Jimenez}

Answers

Answer:

the answer is  {Corelli, Yao}

Step-by-step explanation:

i took the quiz

the answer is  {Corelli, Yao}

it them bc of they why of the number is place and it repeied

2316 divided by 2.4 show your work

Answers

Answer:

956

Step-by-step explanation:

You could answer this by doing division

So you could write it as 2316 (division symbol) 2.4=956

Hope this helped a bit!

The answer is 965. 2316 divided by 2.4 makes 965

3. The points (80, 20) and (120, 30) form a proportional relationship. What is the
slope of the line that passes through these points? *

A)1/4
B)4
C)10
D)40

Answers

Answer:

6x6x55x5x5x2

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

(THE QUESTION IS AT THE PHOTO)

Answers

im not sure this is the answer you are looking for but

45 can be 90 and 27 can be 108

27*2 is 54

27*3 is 81

27*4 is 108

Answer: 45 = 90

27 = 108

Step-by-step explanation: A multiple is the result of multiplying the number by any integer.

Multiply 45 by 2 and you get 90 which fits between 85 and 110.

Multiply 27 by 2, but it only reaches 54 which doesn’t fit. Multiply 27 by 3 and you get 81, which still doesn’t fit between 85 and 110. Lastly, try multiplying 27 by 4 which gives you 108. This fits between 85 and 110!

Hope this helps, feel free to ask any further questions.

Choose the equation that correctly uses the Pythagorean Theorem for the given right triangle.
a) x^2+6.8^2
b)3.8+6.8^2=x^2
c)3.8+x^2=6.8^2
d)3.8^2-x^2=6.8^2

please help i will give brainliest :)

Answers

Answer:

[tex]equation \: for \: pythagorean \: theorem \: is \: \\ {3.8}^{2} + {6.8}^{2} = {x}^{2} [/tex]

Answer:

3.8² + 6.8² = x²

Step-by-step explanation:

see attached

The distance between two schools M and K is 2km. A market is situated between M and K . How far is the market from k ?

Answers

Answer:

1 km

Step-by-step explanation:

if the distance between M and K is 2 km and the store is situated exactly in the middle between M and K then the distance to the store from either M or K is half the distance between the two points M and K and therefore 1 km

Solve for the Variable 9x+2 10x-10

Answers

Answer:

x=12

Step-by-step explanation:

9x+2=10x-10

9x-10x=-10

-x=-10-2

x=12

x=12

Can someone please help me?? Ill give brainliest 20 points
Find an equation that can be solved in different ways.

Complete a two-column algebraic proof solving your equation.
Post your equation and two-column proof to the discussion board.

Answers

Answer:

This is an example of a two-column algebraic proof using 4x + 9 = 16 - 3x

Step-by-step explanation:

A. Write the formula for the volume V of a prism where B is the area of the base and h is the height. V= b. Solve the formula for B. B= c. Use the new formula to find the area of the base of the prism. The area of the base of the prism is square inches.

Answers

Step-by-step explanation:

The question lacks the required diagram, find the diagram attached.

Volume of the pyramid V = BH where;

B is the base area

H is the height of the prism.

b) To solve for B, we will have to make B the subject of the formula from the equation in a;

From (a);

V = BH

Divide both sides by H

V/H = BH/H

V/H = B

B = V/H

c) Since we are not given the volume and height of the prism, we can as well use the following parameters;

Let us assume Volume of the prism = 175in³  and  eight of the prism H = 5in

Substitute this values into the equation derived in (b)

B = 175in³/5in

Hence the area of the base of the prism is square inches is 35in²

there are 24 students in first period. on a math test five eights of the standard and 90 or better how many students only 90 or better

Answers

The answer is 15 because 24 divided by 8 is 3 and you have 5/8 so you multiply 3 and 5 to get the outcome of 15:)

Solve the equation:
[tex] - 5r + 6 \leqslant - 5(r + 2)[/tex]

Answers

Answer:

[tex]\mathrm{No\:Solution}[/tex]

Step-by-step explanation:

[tex]-5r +6 \leq -5(r+2)\\\\Expand \\\\-5r+6\le \:-5r-10\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\-5r+6-6\le \:-5r-10-6\\\\Simplify\\-5r\le \:-5r-16\\\\\mathrm{Add\:}5r\mathrm{\:to\:both\:sides}\\-5r+5r\le \:-5r-16+5r\\\\Simplify\\0\le \:-16\\\\\mathrm{Therefore,\:the\:solution\:is}\\\mathrm{No\:Solution}[/tex]

Can anyone help me with this question

Answers

Ok the answer is 1.456.7820

If you can type 50 words per minute, how many minutes would it take you to type a 500 word essay

Answers

Answer:  10 minutes

==========================================

Work Shown:

A = 50 = number of words typed in 1 minute

B = 1 minute

C = 500 words

D = x minutes (needed to type 500 words)

A/B = C/D

50/1 = 500/x

50*x = 1*500 ... cross multiply

50x = 500

x = 500/50 .... divide both sides by 50

x = 10

You'll need 10 minutes to type 500 words

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

Alternative approach:

50 words = 1 minute .... given speed

1 word = 1/50 minute ... divide both sides by 50

1 word = 0.02 minute

500 words = 10 minutes .... multiply both sides by 500

As per the given data, it would take approximately 10 minutes to type a 500-word essay at a typing speed of 50 words per minute.

If you have a typing speed of 50 words per minute, it means you can accurately type 50 words in one minute. This rate is often considered an average typing speed for proficient typists.

If I can type 50 words per minute, then to determine the number of minutes it would take to type a 500-word essay, we can divide the total number of words by the typing speed:

Time (in minutes) = Total words / Typing speed

Time = 500 words / 50 words per minute

Time = 10 minutes

Therefore, it would take approximately 10 minutes to type a 500-word essay at a typing speed of 50 words per minute.

For more details regarding typing speed, visit:

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John pays for a Disney annual pass each month. He was charged $150 as a down payment, and each month he pays $28. Create an equation to represent the total cost, y of his annual pass. What is the y-intercept?​

Answers

Equation: y= 28x +150
Y-intercept: 150
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