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kozerog [31]
3 years ago
6

A number has two digits. The digit at tens place is four times the digit at units place. If 54 is subtracted from the number, th

e digits are reversed. Find the original number.
Mathematics
1 answer:
iren2701 [21]3 years ago
4 0

"The digit at tens place is four times the digit at units place."

How many possible numbers are there?

1 in the units place: 41

2 in the units place: 82

If you try 3 in the units place, 4 * 3 = 12, you'd get 123, and now it's a three-digit number, so the only possibilities are 41 and 82.

41 or 82

If you subtract 54 from 41, you get a negative number, so 41 cannot be the number.

82 - 54 = 28, which has the digits of 82 in reverse order.

Answer: 82

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saveliy_v [14]
Convert 3 1/3 into a improper fraction:
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Then flip the other fraction around and multiply them together:
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Answer:

D) 0 = 2(x + 5)(x + 3)

Step-by-step explanation:

Which of the following quadratic equations has no solution?

We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.

A) 0 = −2(x − 5)2 + 3

0 = -2(x - 5) × 5

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0 = -10x + 50

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x = 50/10

x = 5

Option A has a solution of 5

B) 0 = −2(x − 5)(x + 3)

Take each of the factors and equate them to zero

-2 = 0

= 0

x - 5 = 0

x = 5

x + 3 = 0

x = -3

Option B has a solution by one of its factors as a positive value of 5

C) 0 = 2(x − 5)2 + 3

0 = 2(x - 5) × 5

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-10x = -50

x = -50/-10

x = 5

Option C has a solution of 5

D) 0 = 2(x + 5)(x + 3)

Take each of the factors and equate to zero

0 = 2

= 0

x + 5 = 0

x = -5

x + 3 = 0

x = -3

For option D, all the values of x are 0, or negative values of -5 and -3.

Therefore the Quadratic Equation for option D has no solution.

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Answer:

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Answer:

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