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Diano4ka-milaya [45]
3 years ago
13

Which ordered pair can be removed so that resulting graph represent a function ?

Mathematics
2 answers:
LiRa [457]3 years ago
4 0
<h2>Answer:</h2>

The ordered  pair which can be removed so that resulting graph represent a function is:

                               (1,3)

<h2>Step-by-step explanation:</h2>

<u>Function--</u>

A function is a relation in which each of the element of first set is mapped to a single element of the other set.

i.e. no element is mapped to two elements i.e. there is a single image for each pre-image.

Here in the graph we have ordered pairs as:

(-5,-3)  (-4,-4)  (-2,2)  (1,-2)  (1,3)  (2,1)  (5,-4)

Hence, we see that element " 1 " is mapped two different elements

1 is mapped to -2  ( since, we have ordered pair (1,-2) )

and 1 is mapped to 3 ( since, we have ordered pair (1,3) )

If we  remove the ordered pair (1,3) then the resulting graph will be a graph of a function.

Marizza181 [45]3 years ago
3 0
I think it is (5, -4)... not completely sure though
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Which of the following is the result of the equation below after completing the square and factoring?
Tems11 [23]

Answer:

D)  (x +  \frac{5}{2})^{2}   =  \frac{9}{4}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation

             <em>   x² + 5 x + 8 = 4</em>

    ⇒        x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} -  (\frac{5}{2} )^{2}+ 8 = 4

<u><em>Step(ii):</em></u>-

    By using (a + b)² = a² + 2 a b + b²

  ⇒        (x +  \frac{5}{2})^{2}   -  (\frac{5}{2} )^{2}+ 8 = 4

  ⇒        (x +  \frac{5}{2})^{2}   = 4 + (\frac{5}{2} )^{2} -8

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⇒           (x +  \frac{5}{2})^{2}   =  (\frac{25-16}{4} )

⇒           (x +  \frac{5}{2})^{2}   =  \frac{9}{4}

<u><em>Final answer:-</em></u>

(x +  \frac{5}{2})^{2}   =  \frac{9}{4}

 

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