Enter the correct answer in the box.

What is the factored form of this expression?

64x^3 - 125

Write all factors in standard form.

Enter The Correct Answer In The Box.What Is The Factored Form Of This Expression?64x^3 - 125Write All

Answers

Answer 1

9514 1404 393

Answer:

  (4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

  a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

  64 = 4³

  125 = 5³

So, in the above, we have ...

  a = 4x, b = 5

and the factored form is ...

  (4x -5)(16x² +20x +25)


Related Questions

Each baseball hat costs the same amount of money. The cost for 18 baseball hats was $216. What is the unit price?

Answers

Answer:

15%

Step-by-step explanation:

if u did the 216 divided by the 18 then that's how u get estimated number


(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.

Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math

Answers

Answer:

Company B

Step-by-step explanation:

Given. That :

Company A:

Initial charge = $215

Charge per square foot = 0.50

Company B:

Initial charge = $100

Charge per square foot = 0.75

Which company if installing 400 square feet of carpet :

Company A:

Total bill:

$215 + 0.50(400) =$415

Company B:

Total bill:

$100 + 0.75(400) = $400

Hence, Company B will be a better option as the total cost is cheaper than company As cost.

Help me with this it is hard

Answers

Answer:

the third choice is the correct one because  if you 3 ÷ 8 = 0.375. 0.375 × 100 = 37.5%

The total cost after tax to repair Deborah's computer is represented by 0.09(60h)+60h, where h represents the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.

Answers

Answer:

0.09(60h)

Step-by-step explanation:

The part that represents the tax is 0.09.

This is because, we can rewrite the sum as;

Amount of tax + Total cost for the number of hours

Now, the amount of tax can only be a percentage of the total

We can write 0.09 as 9/100

This can be interpreted as 9% of the total amount

So therefore we can rewrite the amount as;

9% of 60h + 60h

So the part that represents the amount of tax Deborah has to pay is 0.09(60h)

Mrs adeolu spent 1/4 of her monthly income at a shopping mall 1/3 at a open market and 2/5 of the remaining amount at a mechanic workshop. if she had 225,000 naira left .
find her monthly income
find the amount spent at the open market

Answers

Answer: it's c

Step-by-step explanation:

What is the slope of the line?
I NEED HELPP?!

Answers

Answer:

Slope of a line = rise/run

Your answer:

m = 8/5

someone help with this ASAP I HAVE FEW MINS !!!

Answers

Answer:

Symmetric

Step-by-step explanation:

Y=9x+2x please help, i don't know how to
do this stuff

Answers

Answer: I hope you understand, just mutiply whatever x is by 11 to get Y

Step-by-step explanation:

x = unknown number

9x+2x= 11x

Y=11x

what is the average rate of change
y - 3 = -12 (x + 4)​​

Answers

Answer:

[tex] - 12x[/tex]

Step-by-step explanation:

[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]

Thr answer is the slope.

Answer:

[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

The average rate of change of a function f ( x )  over the interval  [ a , b ]  is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]f(x)=\frac{3}{x-2}[/tex]

and [tex][a,b]=[4,7][/tex]

[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]

[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]

The rate of change is

[tex]=\frac{f(b)-f(a)}{b-a}[/tex]

[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]

[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]

PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEe

Answers

Answer:

-140 = x

Step-by-step explanation:

Answer:

-140 =x

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality

Answers

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

Answer:

division property of equality

Step-by-step explanation:

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.

$1000, 2%, 9 months what is the simple interest​

Answers

Answer:

principal =1000

time=9

rate=2%

or simple interest = p×t×r/100

= 1000×9×2

=Rs.18000

Answer:

$180

Step-by-step explanation:

Turn 2% to 0.02 then make the formula

1,000*0.02*9=180

Which student rounded properly?

Answers

Answer:

c is the answer

Step-by-step explanation:

5x - 2y= 26 y + 4 = x
Plzzz help I got 10 minutes

Answers

the answer is (x,y) = (4/51 - 8/51)

The Value of x and y are (x,y) = (7,3).

What is Algebraic expression ?

Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.

GIven equations are :

5x - 2y= 26.....(1)

y + 4 = x..........(2)

Solve by substitution :

substitute equation 2 in equation 1 and solve for y

5x - 2y= 26

5(y+4) - 2y = 26

5y + 20 -3y = 26

2y = 26 - 20

2y = 6

y = 3

now, the value of x will be :

x = y + 4

x = 3+4

x = 7

Therefore, The Value of x and y are (x,y) = (7,3).

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.

Answers

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.

Polygons ABCD and A′B′C′D′ are shown on the coordinate grid: A coordinate plane is shown with two polygons represented. Polygon ABCD has vertices A at 2 comma 2, B at 2 comma 4, C at 3 comma 5 and D at 3 comma 1. Polygon A prime B prime C prime D prime has vertices A at negative 1 comma negative 2, B at negative 1 comma negative 4, C at negative 2 comma negative 5, and D at negative 2 comma negative 1. What set of transformations is performed on ABCD to form A′B′C′D′? (4 points) a A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin b A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin c A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right d A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

Answers

Answer:

Answer is A. I get it right. :3

Answer:

a

Step-by-step explanation:

Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents?

Answers

Answer:

[tex]280 \: dollars[/tex]

Step-by-step explanation:

[tex]3500 \times .08 = 280[/tex]

Simple as that ^^^ Just find 8% of 3500

280,00$

8% of 3500$ equals to

(8/100)*3500=

280,00$=

help pls ?? anyone ?? :(

Answers

7.  yes

8. yes

9. no

10. no

b because it just is i took this

Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?

Answers

Given:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

To find:

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

Solution:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then

[tex]A(2,3)\to A_1(2,-6)[/tex]

[tex]B(5,6)\to B_1(5,-3)[/tex]

[tex]C(8,6)\to C_1(8,-3)[/tex]

[tex]D(8,3)\to D_1(8,-6)[/tex]

Then the figure rotated 180 degrees clockwise about the origin. So,

[tex](x,y)\to (-x,-y)[/tex]

[tex]A_1(2,-6)\to A'(-2,6)[/tex]

[tex]B_1(5,-3)\to B'(-5,3)[/tex]

[tex]C_1(8,-3)\to C'(-8,3)[/tex]

[tex]D_1(8,-6)\to D'(-8,6)[/tex]

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".

Therefore, the correct option is D.

Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?

Answers

Answer:

mark brainlest45

Step-by-step explanation:

in one hour she can make 9 ( 27 divided by 3)

so in 5 hours 45 bc 5x9 is 45

Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?

Answers

Answer: 2

Step-by-step explanation:

Given:  14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.

If they want to pack one genre of book in each box such that they pack same number of books in each box.

Then, the greatest number of books Barnes and Noble can pack in each box

= GCD(14,12,8)

Since, 14 = 2 x 7

12 = 2 x 2 x 3

8 = 2 x 2 x 2

GCD(14,12,8)=2

Hence, the greatest number of books Barnes and Noble can pack in each box = 2

John is trying to solve for y, but he made a mistake. Where did John mess up? What did he do wrong? Step 1: 2 - 3(y- 1) = 6 Step 2: -1(y- 1) = 6 Step 3: -y+1= 6 Step 4: -y = 5 Step 5: y = -5 Step 2; he combined the 2 and -3 before he distributed O Step 3; he did not distribute the -1 correctly Step 2; he did not combine the 2 & -3 correctly. Step 4; he should have added the 1 to 6, not subtracted it Step 3; he should have added 1 to both sides.​

Answers

Answer:

Step 4!!!

Step-by-step explanation:

what is value of x , 1x + 2x = 30​

Answers

Answer:

x = 10

Step-by-step explanation:

1x + 2x = 30​

3x = 30

x = 10

Help!
A volcano on a discovered planet rises to a height of 19.529 mi.
Use the table of facts to find the height of the volcano in feet.
Round your answer to the nearest tenth.

Answers

Answer:

103, 110 ft

Step-by-step explanation:

A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?​

Answers

Answer:

-1

So the answer would be (-1, 2)

Hopefully, this is correct, sorry if not.

The sum of triple a number d and 5
(it’s translating expressions)

Answers

Answer:

3d+5

Step-by-step explanation:

Line AB is 14 inches long. What is the approximate area of the circle?






615.44 inches
21.98 inches
153.86 inches
43.96 inches

Answers

Answer:

The third one is closest

Step-by-step explanation:

half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804

2÷5 × -4 what Is the answer please? ​

Answers

Answer:

-1 3/5

Step-by-step explanation:

2÷5 × -4

Work from left to right

2/5 * -4

-8/5

-1 3/5

4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5

Answers

Answer:

c

Step-by-step explanation:

c

12) Which name we can give to these triangle

Answers

Answer:

The first one is isosceles and the second one is scalene.

This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.

Answer:

obtuse triangle and scalene triangle (sana nakatulog sayo)

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