1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
77julia77 [94]
3 years ago
12

Find x3 -y3,if x-y=5 and xy=14

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

335

Step-by-step explanation:

Factor the given binomial:

x - y = 5

xy = 14

x = y + 5

(y + 5)y = 14

y^2 + 5y - 14 = 0

(y + 7)(y - 2) = 0

y = -7 or y = 2

y = -7

xy = 14

-7x = 14

x = -2

y = 2

2x = 14

x = 7

Solutions:

x = -2, y = -7

x = 7, y = 2

For x = -2, y = 7

x^3 - y^3 =

= (-2)^3 - (-7)^3

= -8 - (-343)

= 335

For x = 7, y = 2

x^3 - y^3 =

= 7^3 - 2^3

= 343 - 8

= 335

You might be interested in
Health club a charges 100.00 membership fee plus 25.00 per plus 25.00 per month
Snowcat [4.5K]

Answer:

Month 5 the cost will be the same

Step-by-step explanation:

Make to equations from the given information

Let y be the cost, and let x be the number of months

Club A:  y = 25x + 100

Club B:  y = 20x + 200

It wants to know when the cost will be the same, so set the 2 equations equal to each other and solve..

25x + 100 = 20x + 200

5x = 100              (subtract 20x and 100 from both sides)

  x = 20                (divide both sides by 5)

So after 5 months the cost will be equal,

5 0
3 years ago
Select the statements that are true for the graph of y=(x+2)2+4 .
guapka [62]
I think you probably meant <span>(x+2)^2+4 because the equation you have provided is not written in proper formatting and would actually be a straight line. However, if you meant for that second 2 to be an exponent, you now have a quadratic equation which would graph as  a parabola. Remember the basic formula is y=(x-h)^2 +k where (h,k) is your vertex. So you change the sign of the number in the parenthesis, but not the number outside the parenthesis when finding the vertex. If there is a negative number in front of your equation, then the parabola is flipped upside down so the vertex would be a maximum, but if it is positive, or has nothing in front of it, then the parabola sits up like a bowl so the vertex is a minimum.</span>
8 0
3 years ago
Can you please help me? Thanks!!!!
ss7ja [257]
The answer is 25 degrees.

This is how you solve the equation, first you must know that the straight like ABC=180, DBC is 130, so the remaining amount is 50 degrees, BE is a bisector of ABD which means it splits ABD right down the middle. So ABE+EBD=50 degrees, 25+25=50 since both sides MUST be equal in order for BE to be a bisector of ABD.

If you have any more questions feel free to ask them here on Brainly.com, please make sure to give my answer a rate, like, and vote brainliest if I've helped you out, it helps me a lot too!
4 0
3 years ago
If ΔABC≅ΔMNO, then what corresponding angle is congruent to angle N? (Enter your answer using the angle letter only.) (6 points)
Marysya12 [62]

Since they've already told us what triangles are congruent, all we have to do is match up the correct letters.

By CPCTC, angle N is congruent to angle B.

Hope this helps!

5 0
3 years ago
Read 2 more answers
(07.02 MC)
Sergio039 [100]

Part A:

1 solution. It is a linear equation => one solution.

Part B:

                                        3(2x - 7) = 3

(divide through by 3)         2x - 7 = 1

(add 7 to both sides)               2x = 8

(divide through by 2)                 x = 4

4 0
3 years ago
Other questions:
  • Solve the following equation algebraically: 5x^2=60
    13·1 answer
  • What is the exponet of 9^6 in regular form
    6·2 answers
  • Identify the percent of change is an increase or decrease. then find the percent of change. round to the nearest tenth of the pe
    9·1 answer
  • Given the function f(x)=2x+5 and g(x)=x-7, solve for f(g(x)) when x=-3
    9·1 answer
  • Camryn practices the trumpet every 11 ​th ​​ day and the flute every 3 ​rd day. camryn practiced both the trumpet and the flute
    11·1 answer
  • You spin the spinner twice.
    8·1 answer
  • Maria had $100 at the beginning of summer vacation. She plans to mow lawns and charge $20 per lawn. Which graph could be used to
    10·1 answer
  • Finding a percentage of a total amount: Real-world situations
    10·2 answers
  • Joe will go to the swimming pool on 20 different days this month. • A one-day pass to the pool is $2.50. • A monthly pass to the
    14·2 answers
  • Alice, Bob, and Carol were riding their bikes along the same path at different speeds. Alice's speed was twice Bob's speed, and
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!