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disa [49]
3 years ago
13

What number should be added to both sides of the equation to complete the square?

Mathematics
2 answers:
omeli [17]3 years ago
4 0
-6. its to make the equation equal
SCORPION-xisa [38]3 years ago
3 0

Answer:

The number that is added both side to make the equation a perfect square is

\frac{9}{4}

Step-by-step explanation:

The given equation is :x^{2} +3x=6

The equation is of the form ax^{2} +bx+c=0

To solve the equation by completing a square we take half of b term and square it .

This is added to both sides.

Comparing the equations we have b=3 .

We take half of 3 and square it that is :

(\frac{3}{2}) ^{2} =\frac{9}{4}

So      \frac{9}{4} isadded to both side to complete the square .

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Avery tosses a coin 100 times. It lands on heads 60 times and on tails 40 times. What is the experimental probability that it wi
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 i belive 60% becuse it lands on heads 60 time out of a hudred 
5 0
3 years ago
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What is the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months?
Rom4ik [11]
Since only the principal value, interest rate and interest period are given, we can deduce that "finance charge" only includes the interest to be paid at the end of the term. This can be obtained by subtracting the principal value from the future value which we will solve for.

The future value can be solved by using the following compound interest formula:

Let:
F = Future value
P = Principal value
r<span> = annual interest rate </span>
n<span> = number of times that interest is compounded per year</span>
t<span> = number of years</span>

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

Substituting the given values:
F = 4250(1 + 0.1325/12)^(12*2)
F = 5531.54

Subtracting P from F:
Finance charge = 5531.54 - 4250 = 1281.54

Therefore the finance charge is $1,281.54
6 0
3 years ago
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.5 parts
DochEvi [55]

Answer:

We accept  H₀   with the information we have, we can say level of ozone is under the major limit

Step-by-step explanation:

Normal Distribution

population mean  =   μ₀   =  7.5   ppm

Sample size     n   =  16      df  =  n  -  1  df  =  15

Sample mean      =    μ   =  7.8  ppm

Sample standard deviation   =  s  =  0.8

We want to find out if ozono level, is above normal level that is bigger than 7.5

1.- Hypothesis Test

null hypothesis                          H₀         μ₀   =  7.5

alternative hypothesis             Hₐ          μ₀  >  7.5  

2.-Significance level    α  =  0.01   we will develop one tail-test (right)

then   for   df  =  15    and    α =  0,01   from t -student table we get

t(c)  = 2.624

3.-Compute  t(s)

t(s)  =  (  μ -  μ₀ ) / s /√n            ⇒   t(s)  = ( 7.8  -  7.5 )*4/0.8

t(s)  = 0.3*4/0.8

t(s)  = 1.5

4.-Compare   t(s)   and  t(c)

t(s)  <  t(c)       1.5  <  2.64

Then  t(s) is inside the acceptance region. We accept  H₀

7 0
3 years ago
Is this correct? (No, I'm not 10 im just slow :,) )
Papessa [141]
Top left and bottom right yes the rest no
5 0
2 years ago
You and six friends play on a soccer team. a sponsor paid $100 for the league fee, x dollars for each player's t/shirt and $68.2
Ratling [72]
100+x (s)+68.25(t)=a
S=shirts
T=trophies
A=amount paid
4 0
3 years ago
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