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OLEGan [10]
3 years ago
10

Which of the following illustrates the truth value of the given conditional statement?

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0
Given p: 10 < 7, clearly p is false and ~p is true. Also, given q: 10 < 5, clearly q is false and ~q is true.

Thus, the truth value of the conditional statement ~p → ~q is <span>T T → T.</span>
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Which function has a domain of x 25 and a range of y s3?
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Step-by-step explanation:

The function  has a domain x ≥ 5.

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Hence, (x - 5) ≥ 0

⇒ x ≥ 5

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So,  

⇒  

⇒ y ≤ 3

Therefore, the range of the function is y ≤ 3. (Answer)

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Which statements are true about the ordered pair (-1,-4) and the system of equations?
rewona [7]

Answer:

1.When (-1,-4) is substituted into the first equation, the equation is false. FALSE

2. When (-1,-4) is substituted into the first equation, the equation is true. TRUE

3. When (-1,-4) is substituted into the second equation, the equation is false.

FALSE

4. When (-1,-4) is substituted into the second equation, the equation is true. TRUE

5.The ordered pair (-1,-4) is a solution to the system of linear equations .TRUE

6.The ordered pair (-1,-4) is not a solution to the system of linear equations.

FALSE

Step-by-step explanation:

Here, the given set if equations are:

x - y = 3  

7 x - y = - 3

Now, substituting the given value (-1,-4) in the given equations, we get

(1) Substitute (-1, -4) in first equation:

    x - y = 3   :  (-1, -4)

⇒  (-1) - (-4)  = -1 + 4 = 3  = Right Side

So, the equation x - y = 3    holds TRUE for (-1,-4)

(2) Substitute (-1, -4) in second  equation:

  7 x - y = - 3   :  (-1, -4)

⇒  7(-1) - (-4)  = -7  + 4 = -3  =  Right Side  

So, the equation 7 x - y = - 3  holds TRUE for (-1,-4)

Now, the given options are:

When (-1,-4) is substituted into the first equation, the equation is false.  FALSE, equation is satisfied.

When (-1,-4) is substituted into the first equation, the equation is true.

TRUE

When (-1,-4) is substituted into the second equation, the equation is false.

FALSE, the given equation is satisfied.

When (-1,-4) is substituted into the second equation, the equation is true.

TRUE

The ordered pair (-1,-4) is a solution to the system of linear equations .

TRUE,as the given point satisfies both the equations.

The ordered pair (-1,-4) is not a solution to the system of linear equations.

FALSE,as the given point satisfies the equation.

4 0
3 years ago
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