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My name is Ann [436]
3 years ago
5

Find the prime factorization of 245

Mathematics
2 answers:
MaRussiya [10]3 years ago
7 0
Prime factors are defined as prime numbers (numbers that cannot be divided into a smaller quotient by a different number) that multiply up to a given number. An example is 11. 11 cannot be divided into a smaller number unless we divide by 11. With this information, we can solve. Our number is 245. Since our number ends in 5, we can divide by 5 automatically. Divide 245 by 5. 245 / 5 = 49. Our factors are 5 x 49. 49 is not prime, as it can be divided by 7. Divide 49 by 7. 49 / 7 = 7. Our factors are now 5 x 7 x 7. 5 x 7 x 7 is the prime factorization of 245, as we cannot divide into any smaller number. I hope this helps!
k0ka [10]3 years ago
3 0
You divide by primes in order until you reach a final prime number which will be your last factor... 2 and 3 are not factors, 5 is, then 7 and 7 are. So the prime factorization will look like.

245=5*7*7
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HELP!!!!
ss7ja [257]
<h3>3 Answers: Choice D, Choice E, Choice F</h3>

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

Explanation:

The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.

Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.

Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.

We can verify this algebraically. For instance, if we weren't sure point E was  a solution or not, we would plug the coordinates into the inequality to get...

6x - 10y ≥ 9

6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)

30 - 20 ≥ 9

10 ≥ 9 ... this is a true statement

Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.

-----------

I'll show an example of something that doesn't work. Let's pick on point A.

We'll plug in (x,y) = (-1,1)

6x - 10y ≥ 9

6(-1) - 10(1) ≥ 9

-6 - 10 ≥ 9

-16 ≥ 9

The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.

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2.Solve x squared - 4x by Factoring
777dan777 [17]

Answer:

Step-by-step explanation:

hello:

x²-4x=0  means : x(x-4)=0

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conclusion : x=0 and x= 4   ...answer : B

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Step-by-step explanation:

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Alinara [238K]
I think the answer is c

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Answer:

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