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
tatuchka [14]
3 years ago
11

Question: determine all solutions to the diophantine equation 3x + 7y = 4

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0
The difference between the coefficients 7 and 3 is 4, so one solution is
  y = 1, x = -1.
Then the remaining solutions will be of the form
  x = -7n-1
  y = 3n+1
for some integer n.


_____
Some of the solutions are (for n=0, -1, -2, 1, 2)
(x, y) = (-1, 1), (6, -2), (13, -5), (-8, 4), (-15, 7)
You might be interested in
In the graph shown, which ordered pair does NOT represent a solution to the graph?
andreyandreev [35.5K]
A) (1, 7) Doesn't
B) (0, 4) Doesn't
C) (2, –2) Doesn't
D) (3, –5) DOES

All the steps are right at the exception of line 7 (and onwards)

line 6 : 6x = 42 (it's right). Now divide both sides by 6:

line 7 should be:  6x/6 = 42/6
line 8 should be: x = 7. 

8 0
3 years ago
Read 2 more answers
7x+1=10x-9 what does x equal
shutvik [7]

Answer:

x = 10/3

Step-by-step explanation:

Solve:

  • 7x + 1 = 10x - 9      
  • 1 = 3x - 9                  Isolate x
  • 10 = 3x                     Isolate x
  • x = 10/3                    

x = \boxed{\frac{10}{3}}

-Chetan K

3 0
3 years ago
Read 2 more answers
A student is considering publishing a new magazine aimed directly at owners of Japanese automobiles. He wanted to estimate the f
JulsSmile [24]

Answer:

Check Explanation

Step-by-step explanation:

a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence

0.29938661 < p(japan) < 0.46984416

mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.

b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.

c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).

0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.

Hope this Helps!!!

3 0
3 years ago
The probability that a student guesses the correct answer to a four-choice multiple choice question is
Lilit [14]

Since we already know that there is a 25% chance to guess the correct answer to a multiple choice question, all we have to do is multiply .25 and 68 to get the expected amount of answers a student can possibly guess. We multiply .25 since it is the decimal form of 25% and 68 is our total questions.

.25 x 68 = 17

Therefore, a student can expect to guess 17 answers correct on a test with 68 multiple choice questions.

3 0
3 years ago
Read 2 more answers
Giving 20 points for the answer.
solong [7]

Answer:

B, A, C

Step-by-step explanation:

add the like terms together (ending in x2 with x2, ending in x with x etc )

8 0
2 years ago
Read 2 more answers
Other questions:
  • Idk how many ive asked just today
    10·2 answers
  • Find the measure of Angle 3. measure of angle 1 = x measure of angle 2 = x-6
    8·1 answer
  • Is 0.15783456 rational or irrational
    7·2 answers
  • Can someone please help me answer this question, I am stuck on this question
    14·1 answer
  • Which measurement would Jordan need to know when ordering bricks for her patio?
    8·2 answers
  • What is the answer on the number line
    8·1 answer
  • Can someone check this please?
    8·2 answers
  • 5(6x+2)+4(5x+5)+4=50x+34
    15·2 answers
  • What is the answer to this equation <br> 1) 4(x + 5) = 40
    8·1 answer
  • Please answer the question as best as you can :)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!