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babymother [125]
3 years ago
13

Question 9. True or false? Provide a simple counter-example if it is false. (9.a) The sum of two rational numbers x, y EQ is alw

ays a rational number, x+y EQ. (9.b) The sum of two irrational numbers x, y ER - Q is always an irrational number, x +y ER-Q. (9.c) The sum of the squares of two distinct real numbers x,y ER, with x #y, is always a positive real number, x2 + y2 ER and x2 + y2 > 0. (9.d) If a, b ER, then ab E R.
Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:

a. True. Rational numbers are closed under the sum operation, therefore, the sum of two rational numbers is always a rational number.

b. True. irrational numbers are closed under the sum operation, therefore, the sum of two irrationals numbers is always a irrational number.

c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.

d. True. The real numbers are closed under the product operation, then if a and b are reals numbers, the product ab is also a real number.

Step-by-step explanation:

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masha68 [24]

Answer: Step-by-step explanation:

57 - 10x = 45

-10x=-12

x=1.2

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-3y=-15

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7 0
3 years ago
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Saul tosses a coin 20 times and determines that the probability of turning heads is 0.55. Determine if this situation is theoret
strojnjashka [21]

Answer: Experimental Probability

Step-by-step explanation:

Theoretical Probability is the theory behind probability. Experimental (empirical) probability is probability calculated during experiments, direct observation, experience, or practice. The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

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3 years ago
HELP QUICK
noname [10]

Answer:

84ft

Step-by-step explanation:

w = 2/3(L)

if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet

perimeter = 2L + 2W

but W=2/3(L)

therefore, perimeter = 2L + 2(2/3L)

P= 2L + 4/3(L)

P= 10/3(L)

but P= 280

therefore 280= 10/3(L)

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Vikentia [17]

Answer:

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Step-by-step explanation:

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   9x+44=13x                         129+17y=180

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Anna11 [10]

Answer:

1/6 of a minute.

Step-by-step explanation:

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3 years ago
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