1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ivann1987 [24]
3 years ago
8

Did I do it right? Please help ASAP!

Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Answer:yes

Step-by-step explanation:

You might be interested in
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.




5 0
3 years ago
If y = kx, what is the value of k if y = 20 and x = 0.4?
True [87]
Set up an equation 20=k(0.4)....to find k divide 20 by 0.4
8 0
3 years ago
What is this? I need help
quester [9]
I think it is scend choose
5 0
3 years ago
Read 2 more answers
Let set C = {1, 2, 3, 4, 5, 6, 7, 8} and set D = {2, 4, 6, 8}.
g100num [7]
<span>1. If it is intersection then it SHOULD be included in both the sets right? Now we know that odd numbers from 1-100 but the second set are multiples of 5 from 50-150! So we mainly need to look for common numbers which are ODD and are a MULTIPLE OF 5 BETWEEN 50 - 100!! So A={51,53,57,59,61......99} B={55,60,65,70.......95} [We stop till 100 because set A has no such element] So what is A ∩ B here? A ∩ B = {All odd numbers and multiples of 5 between 50 - 100}

</span>
6 0
3 years ago
Giving brainliest !! *easy*
Zepler [3.9K]

Answer: 49

Step-by-step explanation:

The missing constant term in the perfect square is 49.

x^2 + 14x + 49

We need a squart root of something to make the factor add up equal to 14x. If it's a perfect square, we could divide 14 by 2, 14/2 = 7, and we multiply 7^2, we get 49, which is a perfect square.

4 0
2 years ago
Other questions:
  • Can someone solve this
    6·1 answer
  • Heather drove at a constant rate. She traveled miles in 3 hours. How far did Heather travel in 1 hour?
    12·2 answers
  • Using side lengths only ,could triangles be similar
    7·1 answer
  • Program the VR Robot to drive forward 6 grid squares, turn around, and drive back 6 grid squares. How many degrees did you have
    7·1 answer
  • A right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. What is the length of the other leg?
    12·1 answer
  • Two cities are building bicycle paths. Charles City has built 5km of bicycle paths by the end of the first month, and the total
    10·1 answer
  • Round 472.529996081 to the nearest ten
    12·2 answers
  • Ian walks down a sloped path. After 6 minutes, he is 3 m above street level. Write the equation in slope-intercept form of the l
    9·2 answers
  • Please help I will give brainliest
    6·1 answer
  • The director of a pet shelter received a shipment of 1,110 puppy blankets. He stored the blankets equally in 27 boxes and put th
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!