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Fittoniya [83]
3 years ago
6

How to Solve This Question,I don't understand it

Mathematics
2 answers:
Alik [6]3 years ago
5 0
-32 - 15n = 15

hope that helps
..................
DaniilM [7]3 years ago
3 0
-32y times (theres no multiplication symbol) 15=53
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The graph below represents the solution set of which inequality?
natulia [17]

Answer:

option: B (x^2+2x-8) is correct.

Step-by-step explanation:

We are given the solution set as seen from the graph as:

(-4,2)

1)

On solving the first inequality we have:

x^2-2x-8

On using the method of splitting the middle term we have:

x^2-4x+2x-8

⇒  x(x-4)+2(x-4)=0

⇒ (x+2)(x-4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x+2>0 and x-4

i.e. x>-2 and x<4

so we have the region as:

(-2,4)

Case 2:

x+2 and x-4>0

i.e. x<-2 and x>4

Hence, we did not get a common region.

Hence from both the cases we did not get the required region.

Hence, option 1 is incorrect.

2)

We are given the second inequality as:

x^2+2x-8

On using the method of splitting the middle term we have:

x^2+4x-2x-8

⇒ x(x+4)-2(x+4)

⇒ (x-2)(x+4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x-2>0 and x+4

i.e. x>2 and x<-4

Hence, we do not get a common region.

Case 2:

x-2 and x+4>0

i.e. x<2 and x>-4

Hence the common region is (-4,2) which is same as the given option.

Hence, option B is correct.

3)

x^2-2x-8>0

On using the method of splitting the middle term we have:

x^2-4x+2x-8>0

⇒ x(x-4)+2(x-4)>0

⇒ (x-4)(x+2)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x+2>0 and x-4>0

i.e. x>-2 and x>4

Hence, the common region is (4,∞)

Case 2:

x+2 and x-4

i.e. x<-2 and x<4

Hence, the common region is: (-∞,-2)

Hence, from both the cases we did not get the desired answer.

Hence, option C is incorrect.

4)

x^2+2x-8>0

On using the method of splitting the middle term we have:

x^2+4x-2x-8>0

⇒ x(x+4)-2(x+4)>0

⇒ (x-2)(X+4)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x-2 and x+4

i.e. x<2 and x<-4

Hence, the common region is: (-∞,-4)

Case 2:

x-2>0 and x+4>0

i.e. x>2 and x>-4.

Hence, the common region is: (2,∞)

Hence from both the case we do not have the desired region.

Hence, option D is incorrect.




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3 years ago
What quadrilateral how many right angle​
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Four sided figure is a quadrilateral
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HELP ASAP what is 9/10-5/10=
Fofino [41]

9/10 - 5/10

because the denominators are the same you keep it and just subtract the numerators

=4/10

This can be reduced to 2/5

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3 years ago
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George earns $455 per week. George receives a 20% raise. How can George calculate his new weekly pay rate? Select all calculatio
Aleksandr [31]
It's only 455/x = 100 :))))))))
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3 years ago
AB was dilated by scale factor of 2 to create A'B',
Tpy6a [65]

Answer:

M

Step-by-step explanation:

AB was dilated by scale factor of 2 to create A'B'.

Connect points A and A' with a straight line, connect points B and B' with a straight line. The point where these two straight lines will intersect is the center of dilation.

As you can see, these lines intersect at point M, so, point M is the center of dilation.

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2 years ago
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