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Naddika [18.5K]
3 years ago
8

What is the value of x is the rational expression below equal to zero? 2-x/2+x

Mathematics
1 answer:
garri49 [273]3 years ago
7 0

Answer:

X=-4

Step-by-step explanation:

Write the polynomial as an equation.

y

=

2

−

x

÷

2

+

x

Find the x-intercepts.

Tap for more steps...

x-intercept(s):  

(

−

4

,

0

)

Find the y-intercepts.

Tap for more steps...

y-intercept(s):  

(

0

,

2

)

List the intersections.

x-intercept(s):  

(

−

4

,

0

)

y-intercept(s):  

(

0

,

2

)

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Then, according to the given information, we have

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From Set Theory, we have

n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\\Rightarrow n(A\cup B)=56+51-n(A\cap B)\\\\\Rightarrow n(A\cup B)=107-n(A\cap B)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since the total number of people is 100, so we get

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Therefore, from equation (i), we get

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Thus, the maximum number of people who could answer yes for both cat and dog is 7.

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