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diamong [38]
3 years ago
8

What number would you add to the equation below to complete the square?x2 + 4x = 0?

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0
------------------------------------------------------------------
Equation
------------------------------------------------------------------
x² + 4x = 0

------------------------------------------------------------------
Add a constant
------------------------------------------------------------------
x² + 4x + (4/2)² - (4/2)²  = 0   ← Add 2² to form perfect square

------------------------------------------------------------------
Evaluate bracket
------------------------------------------------------------------
x² + 4x + 2² - 2² = 0

------------------------------------------------------------------
Form the perfect square
------------------------------------------------------------------
(x + 2)² = 4 

------------------------------------------------------------------
Square root both sides
------------------------------------------------------------------
(x+2) = \pm √4

------------------------------------------------------------------
Evaluate the square root
------------------------------------------------------------------
(x+2) = \pm 2

------------------------------------------------------------------
Solve x 
------------------------------------------------------------------
x = 2 - 2 or x = -2 - 2

x = 0 or -4

------------------------------------------------------------------
Answer: The constant to add is 4 and the value of x = 0 or -4
------------------------------------------------------------------



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Rudiy27

Step-by-step explanation:

given a normal distribution with the given parameters the probability (= the % of the area of the distribution curve) for a number to be between 203 and 1803 is

0.9987

so, 99.87% of all numbers are expected to be in that range.

for 350,000 numbers that means

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2 years ago
NEED HELP ASAP PLEASE
olga nikolaevna [1]

Answers:

  • interest = $75
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=============================================================

Explanation:

The simple interest formula is

i = p*r*t

where in this case,

  • p = 3000 = principal (amount deposited)
  • r = 0.10 = annual interest rate in decimal form
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So,

i = p*r*t

i = 3000*0.10*0.25

i = 75 is the amount of interest earned

This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)

The balance at maturity is p+i = 3000+75 = 3075 dollars

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

In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.

7 0
3 years ago
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DochEvi [55]

Answer:

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Step-by-step explanation:

x + y - 6= 0

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

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Now find y

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