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Ksenya-84 [330]
3 years ago
9

The rational numbernumber ———————is equal to its negative​

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0
Zero is equal to its negative
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It is not a function because both (2, 2) and (2,−2) have the same x-coordinate. It is a function because both (2, 2) and (2,−2)
olya-2409 [2.1K]

Answer:

It is not a function because both (2,2) and (2,-2) have the same x-coordinate.

Step-by-step explanation:

To be a function for the same x value there should NOT be two different y values.

So, in (2, 2) and (2,-2)

For the same x value 2, there are two different y values 2, -2.

So, this is not a function.

3 0
3 years ago
What are reasons A,B,and C in the proof?
Vlad [161]

Answer:

Option D is correct.

Explanation:

Commutative Property of Multiplication define that two numbers can be multiplied in any order.

i.e a\times b =b \times a

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

a \times (b+c) = a\times b+ a\times c

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.

Given:

A = ( 4\times 3) + (2 \times 4 )= ( 4\times 3) + (4 \times 2 )

B = 4 \times ( 3+2)

C = 4 \times 5

then;

( 4\times 3) + (2 \times 4 )

Using Commutative property of Multiplication we can write 2 \times 4 = 4 \times 2 then we have;

( 4\times 3) + (2 \times 4 ) = ( 4\times 3) + (4 \times 2 )

Using Distributive property of multiplication;

( 4\times 3) + (4 \times 2 ) = 4 \times ( 3+2)

by using associative property of multiplication ,

4 \times (3+2) = 4 \times 5

Therefore, the reasons  for A , B and C in this proof are;

A.commutative property of multiplication

B. distributive property

C. associative property of multiplication



6 0
4 years ago
I really need this answr tonight please HELP!!! Use limits to find the area between the graph of the function and the x axis giv
Vikentia [17]

Step-by-step explanation:

\int_1^5( {x}^{2} - x + 1)dx

( { \frac{ {x}^{3} }{3}}  -  \frac{ {x}^{2} }{2}  + x)_1^5

( \frac{125}{3}  -  \frac{25}{2}  + 5) - ( \frac{1}{3}  -  \frac{1}{2}  + 1)

( \frac{124}{3}  - 8)

(33.3)

7 0
3 years ago
Read 2 more answers
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
BartSMP [9]

Answer:

The decision rule is  

Reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is \mu =  5.6  \ pounds/inch^2

     The  sample size is  n =  160

      The sample mean is  \=  x =  5.7  \  pounds/ inch^2

     The variance is \sigma ^2 =  0.25

       The level of significance is  \alpha   =  0.01

The null hypothesis is  H_o  :  \mu  =  5.6

The alternative hypothesis is H_a :  \mu > 5.6

Generally the standard deviation is mathematically represented as

           \sigma =  \sqrt{\sigma ^2 }

=>         \sigma =  \sqrt{0.25  }  

=>         \sigma =  0.5  

Generally the test statistics is mathematically represented as

        z =  \frac{\= x  - \mu }{ \frac{\sigma}{\sqrt{n}  } }

=>     z =  \frac{5.7  - 5.6  }{ \frac{0.5 }{\sqrt{ 160 }  } }  

=>     z =  2.53

From the z table  the area under the normal curve to the left corresponding to  2.53   is

        p-value =  P(Z >  2.53 ) =0.0057

From the value obtained we see that the p-value  < \alpha hence

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the believe  that the valve performs above the specifications is true

 

5 0
3 years ago
Solve using the linear combination method.<br> 4x - 3y = 26<br> 3x + 2y = 11
Nastasia [14]

Answer: X= 5

Step-by-step explanation:

I think that's the answer your looking for??

6 0
3 years ago
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