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aleksandr82 [10.1K]
3 years ago
5

Which statement is true about the relationship y = |x|?

Mathematics
1 answer:
Jet001 [13]3 years ago
7 0

It is neither an odd nor an even function.

:)

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Put the steps in correct order to prove that if x is irrational, then 1/x is irrational using contraposition.
SOVA2 [1]

Answer:

The correct order is:

a

c

d

b

Step-by-step explanation:

First, let's write 1/x in a convenient way for us:

a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.

Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:

c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.

Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:

d) Observe that x is the quotient of two integers with the denominator nonzero.

And that is the definition of rational, then we end with:

b) Hence x is rational.

Which is what we wanted to get.

5 0
3 years ago
Using function notation, describe the transformation. x^2+y^2=1 --> (x-7)^2 + (y+4)^2 = 1
Fiesta28 [93]

Answer:

f(x - 7) - 4

Translation: < 7 , -4 >

Step-by-step explanation:

x^2+y^2=1

Centre: (0,0)

(x-7)^2 + (y+4)^2 = 1

Centre: (7,-4)

Translation: < 7 , -4 >

If the first function is f(x), the transformed function is:

f(x - 7) - 4

3 0
3 years ago
Read 2 more answers
PLEASE HELP I RELLY NEED IT!!
Roman55 [17]

Answer: B jus times two 8s

5 0
3 years ago
Fill in the blank to complete the equation below__ + 81 = 9(7+9)
Elis [28]

Answer:

63

Step-by-step explanation:

9(7+9) = 63 +81

5 0
3 years ago
Read 2 more answers
For a field trip, a highschool want to buy T-shirts and sweatshirts. The expression px + 29y repersents the cost of buying x T-s
marysya [2.9K]

Answer:

The value of p is $12.

Step-by-step explanation:

Given;

c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)

Where;

c = cost of buying x T-shirts and y sweatshirts from the store

p = price of one or each T-shirt = ?

x = number of T-shirts bought

29 = price of one or each sweatshirt

y = number of sweatshirt bought

Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:

29 = p + 17

p = 29 - 17

p = 12

Therefore, the value of p is $12.

Additional note:

Note that this is not part of the question but it is just an example to make you understand the question better.

If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:

Where;

c = cost of buying x T-shirts and y sweatshirts from the store = ?

p = price of one or each T-shirt = 12

x = number of T-shirts bought = 10

29 = price of one or each sweatshirt

y = number of sweatshirt bought = 10

Substituting the values into equation (1), we have:

c = (12 * 10) + (29 * 10)

c = 120 + 290

c = 410

Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.

5 0
3 years ago
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