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weeeeeb [17]
3 years ago
12

Please help me im stressing :((

Mathematics
1 answer:
Olegator [25]3 years ago
7 0

9514 1404 393

Answer:

  • wrong: -2x² -x² ⇒ -2x²
  • correct: x³ -3x² +6

Step-by-step explanation:

The point of these "what was done wrong" exercises is to see if you know what the correct steps look like.

On line 2, Danielle correctly distributed the minus sign to eliminate the second set of parentheses. (There is often a problem with minus signs and parentheses, so it is nice to see it done correctly.)

On line 3, the two x² terms are incorrectly combined. It looks as though Danielle simply dropped the -x² term because it disappeared without changing the coefficient of x² from -2x². The correct sum of those terms is ...

  -2x² -x² = -3x²

so the correct work on line 3 is ...

  x³ -3x² +6

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Which fraction has a terminating decimal?<br> - 11/19<br> - 4/7<br> - 1/3<br> - 3/150
babunello [35]
<h3>Answer: D) 3/150</h3>

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

Explanation:

With the use of a calculator, we see that,

  • 11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion
  • 4/7 = 0.5714285714285714..., the block "571428" repeats forever
  • 1/3 = 0.333333.... the 3s go on forever
  • 3/150 = 0.02

So 3/150 converts to the terminating decimal 0.02

The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.

----------------------

A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.

If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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