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Tema [17]
4 years ago
7

Prove the equation 2x^2 + y^2 = 14 has no positive integer solutions.

Mathematics
1 answer:
Inessa05 [86]4 years ago
5 0
Solving for y, <span>y=±<span><span>14−2<span>x2</span></span><span>−−−−−−−</span>√</span></span><span> for y to be a positive integer, (14-2x^2) must be a perfect square. Any positive integer values chosen for x will not yield a perfect square</span>
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Why is the alamo important to us history?
Hatshy [7]
The battle of the Alamo is a long-recognized symbol of bravery in the face of unbeatable odds. Although the battle itself lasted only 90 minutes, it was the culmination of a 13-day siege by General Antonio López de Santa Anna's troops against the outnumbered inhabitants of the fort.
6 0
3 years ago
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For each sequence, find the first 4 terms and the 10th term.<br> a) 3n + 4<br> b) 4n-5
Studentka2010 [4]

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is

(a)

a₁ = 3(1) + 4 = 3 + 4 = 7

a₂ = 3(2) + 4 = 6 + 4 = 10

a₃ = 3(3) + 4 = 9 + 4 = 13

a₄ = 3(4) + 4 = 12 + 4 = 16

Similarly substitute n = 10 for tenth term

a₁₀ = 3(10) + 4 = 30 + 4 = 34

(b)

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11, and

a₁₀ = 4(10) - 5 = 40 - 5 = 35

5 0
3 years ago
How many solutions can a quadratic-linear system have?
Contact [7]

Answer:

C

Step-by-step explanation:


4 0
4 years ago
Read 2 more answers
Help, helping my cousin
Anit [1.1K]

Answer:mount kinabalu

Step-by-step explanation:

7 0
2 years ago
Jessica wants to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her c
kifflom [539]

Answer:

i believe it should be E

Step-by-step explanation:

domain is x

range is y

since x is the number of days (0-30) the domain would be [0,30]

for y since she is decreasing 40 every two days that would be 15 days x 40 calories which is 600 (on 30th day)

subtract 600 from 2500 = 1900

so the range would be [1900,2500]

7 0
4 years ago
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