Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.

Answers

Answer 1

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

Answer 2

Answer:

The sum is 11

Step-by-step explanation:

Hope this helped have an amazing day!


Related Questions

PLEASE HELPPP IDEK WHEN WE LEARNED THISSS

Answers

Answer:

1 in 52 I THINK DONT BE MAD IF ITS WRONG :(

Step-by-step explanation:

Because there are 52 cards in the deck and you need to pull out 1 card so its 1 in 52 chance

1 of 13 because there are 4 different sets of numbers, letters, shapes, and colors for each.

I need help will give crown

Answers

Answer:

$15 per hour and he worked 5 hours yesterday.

Step-by-step explanation:

Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.

Set up the equation like this.

7x=105

Divide by 7 to isolate the x

x=15

That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.

15x=75

Divide by 15 to isolate the x

x=5

That means he worked 5 hours yesterday.

P.S. give me crown

Answer:

 He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5  hours that day and he made 75 dollars.  

Step-by-step explanation:

This is a short answer so u dont have to write that much.

In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house

Answers

Answer:

$12,500

Step-by-step explanation:

Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.

Total change in the value of house= $245,000- $120,000=$125,000.

Total time (in years) between 2007 and 2017 = 2017-2007=10 years.

The value of the house changes by $125,000 in the time interval of 10 years.

So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.

Hence, the average annual rate of change in the value of the house is $12,500.

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Scarlett sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no more than one costume as a fraction in simplest form.

Answers

Answer:

The probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

Step-by-step explanation:

The data for a single day is s follows:

236 visitors purchased no costume. 202 visitors purchased exactly one costume. 40 visitors purchased more than one costume.

The total number of customers is, N = 236 + 202 + 40 = 478.

Let X denote the number of costumes purchased by the next person.

Compute the probability that the next person will purchase no more than one costume as follows:

[tex]P (X\leq 1)=1-P(X>1)[/tex]

               [tex]=1-\frac{40}{478}\\\\=\frac{478-40}{478}\\\\=\frac{438}{478}\\\\=\frac{219}{239}[/tex]

Thus, the probability that the next person will purchase no more than one costume [tex]\frac{219}{239}[/tex].

if lines intersect, does that make it, one solution, no solution, or infinite solution?​

Answers

Answer:

one solution

Step-by-step explanation:

No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.

Answer:

one solution

Step-by-step explanation:

if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.

a precision CD player costs $600 but was sold for $525 due to damage

. the percentage loss on the CD player​

Answers

Answer:

12.5% (I think)

Step-by-step explanation:

75 is the amount of money lost, and 75 is 12.5 percent of 600

Answer:

12.5 percent decrease

Step-by-step explanation:

Use the formula

new-old/old

525 is new price being sold

600 is old price being sold

525-600

-75/600

-1/8

-1/8= -0.125

0.125= 12.5 percent

so 12.5 percent decrease.

What is the equation

Answers

Answer:

x=15

Step-by-step explanation:

6+9=15

so x=15

Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $15.68, how many minutes did her call last?

Answers

Answer:

4 minutes and 32 seconds

Step-by-step explanation:

card $20.00-money left over $15.68            $20.00-$15.68  4.32

What’s the measurement of the angle

Answers

Answer:

Step-by-step explanation:

Answer:

i think c

Step-by-step explanation:

not completely sure tho

could anyone help me please 10x2y+4x2y

Answers

Answer:

The Answer is 28y

Step-by-step explanation:

Answer:14x+4y

Step-by-step explanation:

What is the sum?
8+(-12)
-20
24
4
20

Answers

Answer:

-4

Step-by-step explanation:

adding a negative is the same as subtracting a positive

xoxo, your highness...

Answer: 24

8 + (-12) = -4

-4 + (-20) = -24

-24 + 24 = 0

0 + 4 = 4

20 + 4 = 24

emily is entering a bicycle race for charity. her mother pledges $0.40 for every 0.25 mile she bikes. if emily bikes 6 miles how much will her mother donate​

Answers

Answer:

$9.60

Step-by-step explanation:

0.40(6/0.25)

0.40(24)

9.6

Answer:

the correct answer is $2.40

Step-by-step explanation:

0.40= every 0.25miles

for 6 miles it will be 2.40 because u multiply 6 with 0.40 and u get the answer

Find the slope of the line passing through the points
(-3. 7) and (2. -6).

Answers

Answer:

( 3 , 7 )

Step-by-step explanation:

maybe this will help you

You had some money and then spent $7.49. Now you have $6.21. How much
did you originally have? _____

Answers

Answer:

Step-by-step explanation:

7.49+6.21= 13.70

(10-3)(-2)

giving brainlist out

Answers

Answer:

i think the answers 5

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

(10-3)(-2)

(7)(-2)

-14

Is this correct? I’m too tired and confused to understand this..

Answers

Answer:

yes

Step-by-step explanation:

I think ur right because ur smart :)

Answer:

yeah lol

Step-by-step explanation:

evaluating reports , help me please ...

Answers

Well I think it’s b

What is 135 less than the product of 57 and 219?

Answers

Answer: something in the negatives

Step-by-step explanation:

a group of fifth graders collected 46 cans of food to donate to three food banks. If each food bank is get an equal number of cans, how many cans do the each receive

Answers

Answer:

about 15.3.

Step-by-step explanation:

46 divided by 3. ig

Bill built a rectangular pen in his yard that measures feet by 6 feet. He wants to make another pen that is similar but not congruent to the one he built. Which these rectangles is similar?

Answers

You have to include a picture for us to see what’s the choices

Evaluate. -2 1/4 -(-3 2/5).

Answers

Answer:

1 3/20

Step-by-step explanation:

1. Make them all into fractions:

-8/4 -1/4 -(-15/5 -2/5)

2. Add like-terms:

-9/4 -(-17/5)

3. A negative times a negative makes a positive:

-9/4 +17/5

4. Identify the least common denominator (LCD):

20

5. Apply:

-9x5/4x5 +17x4x/5x4

6. Solve:

-45/20 +68/20

7. Result:

23/20, simplified 1 3/20

In one game of basketball Henry scored 24 points.
How many points would Henry score if he played 3 games of
basketball?

Answers

Answer:

72

Step-by-step explanation:

24 x 3 = 72 just like the problem.

) A gas station owner finds that for every penny increase in the price of gasoline, she sells 1516 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 10 cents per gallon? If she decreases the price by 2 cents per gallon?

Answers

Answer:

a) 15160 gallons

b) 3032 gallons

Step-by-step explanation:

Given that for every penny increase in the price of gasoline there is a decrease of 1516 gallons sold per week

a) when she raises the price by 10 cents per gallon

There will be a decrease of ( 1516 * 10 ) gallons sold per week i.e. = 15160 gallons

b) when she decrease the price by 2 cents per gallon

There will be an increase ( 2 * 1516 ) gallons sold per week  i.e. = 3032 gallons

Fill in the missing fractions in the blanks. (You don't need to simplify.) 50.891 = 50 + 8/10 + Source 51-5 USM2 THAN YO UNA CA bo Anu​

Answers

Answer:

Sorry no idea

Step-by-step explanation:

3 + 27y + 15z

x + 9y + 5z​

Answers

Answer: sum

Step-by-step explanation:

Answer:

sum

Hope this helped!

Have an amazing day!

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

Answers

Answer:

315 inches

Step-by-step explanation:

180 + 180 * 075 =

180 + 135 = 315

Answer:

The truck is 315 inches long.

Step-by-step explanation:

HELPPPP PLEASE!!

Find the discounted price of a $90 calculator that is on sale for 25% off.

Answers listed:
$22.50
$67.50
$89.75
$65.00

Answers

The answer is 67.50 because you multiply 90$ by .25 than you got 22.50 subtract 22.50 by 90

Answer:

67.5

Step-by-step explanation:

ok easy it cost $90

90/100=0.9

0.9*25=22.5

90-22.5

67.5

Your cell phone provider charges a monthly fee of $30. You are also charged $0.07 per minute
for each minute. Last month, Mr. Gonzales' bill was $59.40. Let m represent the total number
of minutes Mr. Gonzales used last month. Use the verbal model below to write an equation.

Answers

Answer:

0.07m + 30 = 59.40

Mr Gonzalez used 420 minutes last month

Step-by-step explanation:

To represent how much money Mr. Gonzales was charged for using minutes, use the term 0.07m.

Then, add 30 to this to represent the monthly fee:

0.07m + 30

Lastly, set this equal to 59.40 because that was his total bill for the month:

0.07m + 30 = 59.40

So, the equation for the situation is 0.07m + 30 = 59.40

Solve for m in the equation:

0.07m + 30 = 59.40

0.07m = 29.40

m = 420

So, Mr Gonzalez used 420 minutes last month.

Answer:59.40

Step-by-step explanation:

word related with English

Answers

Answer:

um hi?

Step-by-step explanation:

Hello is related to English if that’s what u mean?

Please answer correctly will mark brainliest and follow thank you ;)

Answers

Answer:

76m

Step-by-step explanation:

Solve perimeter of both rectangles and add

Answer:

238 meters

Step-by-step explanation:

Perimeter? The equation is P = 2 ( l * w )

So lets cut this irregular shape into 2 rectangles.

I added a picture to show you.

So on rectangle is 7 by 11 and the other is 7 by 6.

So lets find the perimeter of the larger rectangle first.

P = 2 ( 11 * 7 )

P = 2 ( 77 )

P = 154

Now the smaller one

P = 2 ( 7 * 6 )

P = 2 ( 42 )

P = 84

Now to find the full perimeter, add both perimeters together

P = 154 + 84

P = 238

238 meters

Don't be afraid to reach out with further questions! Hope this helps!

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