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Snezhnost [94]
3 years ago
11

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.

Mathematics
1 answer:
Roman55 [17]3 years ago
7 0
An equation that models this situation: n + n +1 = 59 ( two consecutive integers: n, n+1 and their sum is 59)
2 n+1 = 59
2 n = 58
n = 58 : 2
n = 29,   n + 1 = 30
Answer:D) n + n + 1 = 59,  n = 29, n + 1 = 30
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We conclude that Tim is correct when he says that the expression x² only yields values that are positive.

Step-by-step explanation:

Given the expression

x²

  • Plug in and checking x = 1 and x = -1 in the expression

Putting x = 1 in the expression

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Putting x = -1 in the expression

x²= (-1)² = 1

Thus, the expression yields the same output '1' when we enter x = 1, and x=-1.

  • Plug in and checking x = 2 and x = -2 in the expression

Putting x = 2 in the expression

x²= (2)² = 4

Putting x = -1 in the expression

x²= (-2)² = 4

Thus, the expression yields the same output '4' when we enter x = 2, and x=-2.

  • Plug in and checking x = 3 and x = -3 in the expression

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x²= (3)² = 9

Putting x = -1 in the expression

x²= (-3)² = 9

Thus, the expression yields the same output '9' when we enter x = 3, and x=-3.

The reason why the expression x² only yields positive values because the expression is in the square form, and the square of any number will always yield a positive value, no matter whether the input number is negative or positive.

Therefore, we conclude that Tim is correct when he says that the expression x² only yields values that are positive.

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