Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^).
125x^3+343y^3

Answers

Answer 1

Answer:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b³) , thus

125x³ + 243y³

= (5x)³ + (7y)³

= (5x + 7y)((5x)² - 5x(7y) + (7y)² )

= (5x + 7y)(25x² - 35xy + 49y²)


Related Questions

Which set of ordered pairs represents a function?
A {(1,1),(5, -9), (1,7), (8, -4)}

B {(-9, -1),(-9,5), (9,6), (-7,7)}

C {(-7,7), (1, -9), (6, 7), (-1,3)}

D {(-7, -6),(-4,2), (-7, -9), (1, -6)}

Answers

Answer:

C

Step-by-step explanation:

The easiest way to solve these problems is usually to just look at the x values and see if any of them appear more than once. If you have 2 or more of the same x value in one set, it isn't a function. If every x value is different, it is a function

If a slice of pizza cost 1.50 and you paid 10.50 how many slices do you get

Answers

Answer:

7 slices.

Step-by-step explanation:

This is an easy division problem. If you remove the decimal places, and use long division accordingly, the answer would be 7 slices.

Write an equal ratio for the fraction 5/7

Answers

Answer:

To find an equal ratio, you can divide or multiply by the same number on the top and bottom of the fraction. For example...

5 x 2 = 10

7 x 2    14

So, by multiplying 5 and 7 by 2, 10/14 is another fraction that is equal to 5/7. Here's some more possible answers if you need them...

5 x 3 = 15

7 x 3    21

5 x 4 = 20

7 x 4    28

Hope this helped you c:

if f(1) =160 and f(n+1 )=-2 f(n) what is f(4)

Answers

Move 4 to the left of f :
4f

Y = -3x-2 Slope intercept form

Answers

Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

Solve by completing the square:
x^2 + 2x - 3 =0
a. - 3 or 1
b. X-3 or -1
C. - 3 or -1
d. 2-3 or 1
Please select the best answer from the choices provided

Answers

Answer:

a

Step-by-step explanation:

Given

x² + 2x - 3 = 0 ( add 3 to both sides )

x² + 2x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 3 + 1

(x + 1)² = 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 1 from both sides )

x = - 1 ± 2

Thus

x = - 1 - 2 = - 3

x = - 1 + 2 = 1

sorry if its hard to see...

Answers

Answer:

its 13 if i saw the numbers right

Step-by-step explanation:

evaluate then you get the below

1-(-4)x(-3)+12/(-6)

___________

-1

divide and get;

-(1-(4)x(-3)+12/(6))

remove parentheses and divide

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

multiply and get

-(1-12-2)

calculate

-(-13)

remove "()"

and you get 13

In the figure shown below, if line m is parallel to line n, then find the value of x

Answers

Answer:

Step-by-step explanation:

The two angles shown are considered "alternate interior angles" because they lie on the INSIDE of two parallel lines, but on alternate/opposite sides of the transversal line. Alternate interior angles are congruent. You can use transformations to see that they are congruent. Therefore, you should set the two expressions equal to each other and solve for x.

The value of x is 25.

Given,

Line m is parallel to line n

The figure has two alternate interior angles.

- (2x - 10)°

- (65 - x)°

We need to find x.

What does Alternate Angles Theorem says?

It states that when two parallel lines are cut by a transversal the resulting alternate interior angles or alternate exterior angles are congruent.

We have ,

From the figure:

Two alternate interior angles.

- (2x - 10)°

- (65 - x)°

Since line m and line n are parallel and from the alternate angles theorem

we see that,

2x - 10 = 65 - x

2x + x = 65 + 10

3x = 75

x = 75/3

x = 25

Thus the value of x is 25.

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Caroline babysat for two families-the Nelsons and the Smiths. Use the information below to compare her earnings. Nelsons: a= 6.25h, where a represents the amount she earned and h represents the number of hours she babysat Smiths: $29 for 6 hours which statement is true?

Answers

So for the Nelsons, insert the 6 hours used for the Smiths. 6.25(6)= 37.5.

So therefore, she earns more at the Nelson’s’.

I don’t know what the statements you mentioned are, but I hope this information can help you.


Help please I feel dumb

Answers

Answer: I feel dumb too i dont like your teacher already that question is tooooooo complicated sry :(

Step-by-step explanation:

What is the answer for 6

Answers

Answer:

Non-Linear and there is symmetry

Step-by-step explanation:

which one is it
they all have the same 3 options in them

Answers

Answer:

x= 3π

y= [tex]5\sqrt{4}[/tex]

z= [tex]\sqrt{104}[/tex]

Step-by-step explanation:

3×π= 9.424

[tex]5\sqrt{4}[/tex]= 10

[tex]\sqrt{104}[/tex] = 10.198

Hope this helps! :)

Answer:

x= 3π

y=

z=

Step-by-step explanation:

3×π= 9.424

= 10

= 10.198

help? someone plzzzz​

Answers

Answer is a. (2,2)
Because for it to be a function each x value can only have one y value. And in the chart it says x is 2 and 8

A school has 625 students and 25 teachers. Which of these statements is true based on this information? A) The school has a ratio of 5 students to 1 teacher. B) The school has a ratio of 5 teachers to 1 student. C) The school has a ratio of 25 students to 1 teacher. D) The school has a ratio of 25 teachers to 1 student.​

Answers

The statement that is true based on the information that a school has 625 students and 25 teachers is that the school has a ratio of 25 students to 1 teacher.

According to the question,

We have the following information:

A school has 625 students and 25 teachers.

Now, we have to find the ratio using the given information.

Ratio of students to the teachers can be better understood in simple terms as the number of the students divided by the number of the teachers.

Ratio of students to the teachers = Number of students : number of teachers

Ratio of students to the teachers = 625:25

Dividing both the numbers by 25,

Ratio of students to the teachers = 25:1

So, the school has a ratio of 25 students to 1 teacher.

Hence, the correct option is C.

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A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears. Each basket will be identical. What is the greatest number of fruit baskets the store can make using all the fruit?

Answers

i think u multiply all them,dont think im right,if im right let me know.

Answer:

answer is 18

Step-by-step explanation:

Alex and Case are starting their own businesses. Alex has $52 from pre-orders and plans on selling the mittens he made for $4 each pair. Case has $35 from pre-orders and plans on selling the mittens he made $5 each pair. Which equation could you use to determine when Alex and Case will have the same amount of money?

Answers

Answer:

Equation could you use to determine when Alex and Case will have the same amount of money is [tex]52+4x=35+5x[/tex]

Step-by-step explanation:

Let x be the pairs of mittens when Alex and Case will have the same amount of money

Alex has amount before orders = $52

He will sell 1 pair of mittens = 4

He will sell x pair of mittens = 4x

So, Alex's total amount = 52+4x

Case has amount before orders = $35

He will sell 1 pair of mittens = 5

He will sell x pair of mittens = 5x

So, Case's total amount = 35+5x

ATQ

52+4x=35+5x

52-35=x

17=x

Hence  the pairs of mittens when Alex and Case will have the same amount of money is 17  and equation could you use to determine when Alex and Case will have the same amount of money is [tex]52+4x=35+5x[/tex]

Find the perimeter of a rectangular lot if the length is 2x-5 meters while the width is 3x+6 meters.
A. 10x + 2 meters
B. 10x + 22 meters
C. 10x meters
D. 12x meters

Answers

It’s a you have to multiply length and with by 2 then you combine common variables

The graph below is a function.

True or false?

Answers

Answer:

true!

Step-by-step explanation:

hi, this graph is a function because it passes the vertical line test. there are no x-values with 2 y-values for the same x.

All of the points in the picture are one the same line

Answers

I think a=5 and b=6
Im pretty sure A=5 and b=6

J/k - 0.2k when j = 25 and k = 5

Answers

Answer:

4.8

Step-by-step explanation:

J/k - 0.2k when j = 25 and k = 5?

25/5 - 0.2 = ?

5 - 0.2 = 4.8

why we start from the division because in the mathematic rule say's

1. start the inner of the bracket

2. arrange the numbers and the variable

3. the exponents

4. multiplication and division

5. subtraction and addition

and if they ask for the variable we should start from the subtraction and addition

find the greatest number show that if 5 is subtracted from it the difference will divided 588 700 and 840​

Answers

Can you please restate lol

The scale of a map is 1 cm : 7 miles find each distance.
A road is 4 cm long on the map. find the actual length of the road.

Answers

pretty sure the answer is 28 miles

What goes in the blank below.

In a rotation, the pre-image & image are _______.

The corresponding angles have the ________ measurement.

The corresponding sides have the ________ measurement.

Answers

Answer:

  congruent, same, same

Step-by-step explanation:

In a rotation, the pre-image & image are congruent.

The corresponding angles have the same measurement.

The corresponding sides have the same measurement.

if a van traveled 200 miles in 5hours how far could the van go in 8hours ​

Answers

Answer:

320 mph

Step-by-step explanation:

200/5=40

40x8=320

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. The van travelled 320 miles in 8 hours.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

if a van traveled 200 miles in 5 hours

We need to find how long it travels in 8 hours.

Let x be the distance to travel in eight hours.

Let us make a equation

200/5=x/8

Apply cross multiplication

1600=5x

Divide both sides by 5

1600/5=x

320=x

Hence the van travelled 320 miles in 8 hours.

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What is the value of the greatest integer. ANSWER THIS ASAP

Answers

Answer:

It should be (67, 68, 69, 70) if im

not mistaken.

Step-by-step explanation:

What is
h(-3) given
h(x) = -12 – xl?

Answers

Answer:

= -6

Step-by-step explanation:

sngdmmgngngngngngngngngngngnfbfbfbfbfbfbf

assuming u added a “l” in there here it is:
Since h(-3) u have to replace x with -3
h(x)=-12-(-3)
negative multiply negative is positive so
h(x)=-12+3
h(x)=-9 <= answer

pls help ...................

Answers

Answer: Choice D

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

Explanation:

Start by graphing the system of equations

[tex]\begin{cases}x-y = 6\\2x+5y = -4\\ x = -1\end{cases}[/tex]

This is represented as the boundary lines. The first two equations produce solid boundary lines. The last equation makes a dashed boundary line. We use solid boundary lines whenever "or equal to" is involved with the inequality sign.

Note how 7 separate regions result from the intersecting lines. Check out the diagram below to see the different regions.

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

To graph [tex]x-y \le 6[/tex] which is the same as [tex]y \ge x-6[/tex], we will shade in regions 1, 2, 4 and 5. All of these regions are above the boundary line y = x-6

Ignore any other region (3,6, and 7) since they don't make the first inequality true.

Of regions 1, 4, 5 and 6, only regions 4 and 5 are below the boundary line 2x+5y = -4. So we cross off regions 1 and 6.

We're now down to just two regions: 4 and 5

We cross off region 5 because it is not to the right of the vertical line x = -1

All that's left is region 4. Any point in region 4 makes all of the three original inequalities true.

So the solution will only have region 4 shaded like choice D shows.

The angle between 0 and 2π in radians that is coterminal with the angel 19π/4 in radians is what?

Answers

Answer:

29/24π

Step-by-step explanation:

To get coterminal angles, you simply have to add or subtract 2π

In this problem, we are looking for a coterminal angle that is between

0 and 2π, so we will add 2π to −19/24π.

−19/24π+2π

=

−19/24π+48/24π

=

29/24π

29/24π

is the answer to the question.

[tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).

What is coterminal angle?

Coterminal angles are the angles that have the same initial side and share the terminal sides.

How to find the coterminal angles?

To find the coterminal angle of an angle, we just add or subtract multiples of 360 degrees from the given angles.

According to the given question.

We have

Angle = [tex]\frac{19\pi }{4}[/tex]

Since, the coterminal angle is to be between 0 and 2π.

Therefore, we subtract 2π from [tex]\frac{19\pi }{4}[/tex]to get coterminal angle.

⇒ [tex]\frac{19\pi }{4} -2\pi[/tex] [tex]= \frac{19\pi -8\pi }{4} =\frac{11\pi }{4}[/tex]

Hence, [tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).

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Gianna paid $4.75 for a strawberry smoothie. She now has $12.35. How much money did Gianna have before she bought the smoothie? Select all that apply. m - 4.75 = 12.35 A. Add 4.75 to both sides of the equation. B. Subtract 4.75 from both sides of the equation. C. 12.35 + 4.75 = 17.10. D. 12.35 - 4.75 = 7.60. E. Gianna had $7.60 before she bought the smoothie. There is more than one answer.

Answers

Answer:

Add 4.75 to both sides of the equation.

Step-by-step explanation:

using the notation from the options in the answer, say the money that Gianna had was m

And she paid  $4.75 for a strawberry smoothie.

then we can calculate the money she had by subtracting the $4.75  paid for a strawberry smoothie from m and equating it to her the balance she has currently

so mathematically

m-4.75=12.34

Add 4.75 to both sides of the equation we have

m-4.75+4.75=12.34+4.75

m=$17.09

The correct answer is

Gianna had $17.09 before she bought the smoothie

Answer:

A. add 4.75 to both sides of the equation.

C. 12.35 + 4.75 = 17.10

Step-by-step explanation:

a rectangular garden has dimensions of 100 feet by 10, next season, the garden decreased to 2/5 of its size. what is the scale of the drawing for the new garden

Answers

Answer: 40 ft by 4 ft

Step-by-step explanation:

See attached picture

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