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FromTheMoon [43]
3 years ago
9

Solve for x: x^2 + 14x + 49

Mathematics
1 answer:
Kaylis [27]3 years ago
3 0

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49ײ

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 250 people entered the park, a
pogonyaev

Answer:

100 children

150 adults

Step-by-step explanation:

c- children

a- adults

---------------

we get equations as per question:

  • 1.5c+4a= 750
  • c+a= 250 ⇒ a= 250- c

  • 1.5c +4(250-c)= 750 ⇒
  • 1.5c- 4c+1000=750 ⇒
  • 2.5 c= 250 ⇒
  • c= 100
  • a= 250-100 ⇒
  • a= 150

Children 100, adults 150

6 0
3 years ago
A gardener measured the heights of two plants at the end of every week. The function y=3x+8.5 gives the hight of plant a in cent
MAVERICK [17]

Answer:

12 weeks

Step-by-step explanation:

Step one:

given data

let the heights of the plants be y

and the number of weeks be x

Plant A

y=3x+8.5--------------1

Plant B

y=2.5x+14.5----------2

Required

The number of weeks taken for both plants to have the same height

,equate the two expressions above

3x+8.5=2.5x+14.5

3x-2.5x=14.5-8.5

0.5x= 6

divide both sides by 0.5

x= 6/0.5

x= 12 weeks

6 0
3 years ago
10x + 60 = 9x - 30<br><img src="https://tex.z-dn.net/?f=10x%20%2B%2060%20%3D%209%20%5Ctimes%20%20-%2030%20%5C%5C%20" id="TexForm
EastWind [94]

Answer:

x = - 90

Step-by-step explanation:

Given

10x + 60 = 9x - 30 ( subtract 9x from both sides )

x + 60 = - 30 ( subtract 60 from both sides )

x = - 90

4 0
3 years ago
PLS HELP ASAP
slega [8]

Answer:

rn or later?

Step-by-step explanation:

6 0
2 years ago
Meghan uses of pedometer two find how many steps she takes each school day. she took 32,410 steps over the course of five days.
LUCKY_DIMON [66]
Rounded, the answer would be 2.86.

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3 years ago
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