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expeople1 [14]
3 years ago
6

if x and y are consecutive non-zero integers, then it must be true that (a)xy is odd (b) x^2+y is even (c) x+xy is odd (d) x+y i

s odd
Mathematics
1 answer:
erastovalidia [21]3 years ago
8 0

Answer:

(d) x+y is odd

Step-by-step explanation:

x and y are consecutive nonzero integers.

Then either

(1) x is even and y is odd

or

(2) x is odd and y is even.

(a) odd times even is even, so (a) is false

(b) According to (1), x^2 + y is odd, and according to (2) x^2 + y is also odd. (b) is false.

(c) Just xy is even according to (1) and (2). According to (1) x + xy is even, and according to (2) x + xy is odd, so (c) is false.

(d) x + y is "odd plus even" or "even plus odd" and is always odd. (d) is true.

Answer: (d) x+y is odd

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Answer:

Step-by-step explanation:

x^2 + x^2 = 128                 Normally you don't do this but rewrite the question

1x^2 + 1x^2 = 128

You actually do use 1 + 1 = 2 First time I've ever done that.

2x^2 = 128                         Divide by 2

2x^2/2 = 128 / 2

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sqrt(x^2)= sqrt(64)

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3 years ago
The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the o
Korvikt [17]

Answer:

a) k = 0.000124

b) According to these data, the Shroud of Turin has around 760 years.

Step-by-step explanation:

The amount of carbon-14 is modeled by the following equation:

C(t) = C_{0}e^{-kt}

In which C_{0} is the initial amount and k is the rate of decrease.

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So C(5595) = 0.5C_{0}

C(t) = C_{0}e^{-kt}

0.5C_{0} = C_{0}e^{-5595k}

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C(t) = C_{0}e^{-kt}

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