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Helga [31]
2 years ago
10

How to solve x^2+15x+44 with the magic x

Mathematics
1 answer:
Goshia [24]2 years ago
6 0

Answer:

(x+4)(x+11)

Step-by-step explanation:

x^2+15x+44 is known as a simple quadratic. It is considered "simple" because x^2 is not greater than 1.

To solve quadratics, you need to factorise them (put them into brackets). You can do this by seeing what 2 numbers multiply to give 44, and add to give 15. I have attached a photograph of me breaking down the number 44 into its multiplying factors, and identifying which factors have the sum of 15.

You can see that I have got the numbers 4 and 11.

I now need to put these numbers into 2 sets of brackets. Remember, the two sets of brackets need to multiply to give x^2+15x+44 when calculated using the grid method.

The two brackets that I have got are (x+4)(x+11), and it doesn't matter which way around you write it.

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Marina sells candles that are in the shape of cones. she makes a yellow candle that has a diameter of 4 inches and a height of 1
Katena32 [7]

The correct statements are:

  • the volume of the yellow candle is about 46.05 inches cubed.
  • the radius of the yellow candle is 2 in
  • he base area of the yellow candle is about 6.28 inches squared.
  • the price of one yellow candle is about $16.12.

<h3>What are the correct statements?</h3>

Volume of a cone = 1/3(πr²h)

  • π = 3.14
  • r = radius = diameter / 2 = 4/2 = 2 inches
  • h = height

Volume of a cone = 1/3 x 2² x 11 x 3.14 = 46.05 inches cubed.

Base area = πr²

3.14 x 4 =  12.56 inches squared.

Price of one yellow candle = volume x price per cubic unit

46.05 x  $0.35 = $16.12

To learn more about the volume of a cone, please check: brainly.com/question/13705125

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3 0
2 years ago
This is factoring polynomial ??
lyudmila [28]
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6 0
3 years ago
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When a principal amount, P, is invested at an annual interest rate,r, and compounded n times per
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Answer:

2

Step-by-step explanation:

A = P( 1+r/n) ^ (nt)

P is the amount invested

r is the rate

n is the number of times per year the interest is compounded

t is the number of years

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so n is 2

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Help me out my smart Brody's
s2008m [1.1K]
That is a perpendicular bisector
4 0
3 years ago
You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the larg
katovenus [111]
Problema Solution

You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?

Answer provided by our tutors

Make a drawing and denote:


x = half of the length of the enclosure


2x = the length of the enclosure


y = the width of the enclosure


P = 800 ft the perimeter


The perimeter of the two enclosures can be expressed P = 4x + 2y thus


4x + 3y = 800


Solving for y:

........

click here to see all the equation solution steps

........

y = 800/3 - 4x/3


The area of the two enclosure is A = 2xy.


Substituting y = 800/3 - 4x/3 in A = 2xy we get


A = 2x(800/3 - 4x/3)


A =1600x/3 - 8x^2/3


We need to find the x for which the parabolic function A = (- 8/3)x^2 + (1600/3)x has maximum: 


x max = -b/2a, a = (-8/3), b = 1600/3


x max = (-1600/3)/(2*(-8/3))


x max = 100 ft


y = 800/3 - 4*100/3


y = 133.33 ft


2x = 2*100


2x = 200 ft

3 0
3 years ago
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