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Ulleksa [173]
1 year ago
6

50 points for this one

Mathematics
2 answers:
ss7ja [257]1 year ago
7 0

Answer:

-1, 0

Step-by-step explanation:

Hello!

We can test each solution for by substituting the value for x, and see if the inequality is true.

<h3>x = -1:</h3>
  • \frac{3(-1)^2}{(-1)^2+3} < 1
  • \frac34 < 1

This inequality is true.

<h3>x = -2:</h3>
  • \frac{3(-2)^2}{(-2)^2+3} < 1
  • \frac{12}{7} < 1

This inequality is not true because 12/7 is greater than 1.

<h3>x = 0:</h3>
  • \frac{3(0)^2}{(0)^2+3} < 1
  • 0 < 1

This is inequality is true.

<h3>x = 3:</h3>
  • \frac{3(3)^2}{(3)^2+3} < 1
  • \frac{27}{12} < 1

This inequality is not true because 27/12 is greater than 1.

The solutions that work are -1 and 0.

Georgia [21]1 year ago
6 0

Answer: A

Step-by-step explanation:

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3 years ago
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3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum
ivolga24 [154]

Answer: 46 years

Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son     = y - 3

Then , from the first statement :

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x     = 3y - 9 + 3

x     = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

x + 5 = 2y + 10

x       = 2y + 10 - 5

x       = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

3y - 2y = 11

y = 11

substitute y = 11 into equation 1 to find the value of x

x = 3y - 6

x = 3(11) - 6

x = 33 - 6

x = 27

This means that the father is presently 27 years and the son is presently 11 years.

In four years time

father = 27 + 4 = 31

son = 11 + 4      = 15

sum of their ages in four years time will be

31 + 15 = 46 years

5 0
3 years ago
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