4b²+20b+25=0
Divide everything by 4
b²+5b+ 6.25=0
use the quadratic formula
x= (-b+ or - √b²-4ac) /2a
x= (-5 + or - √5²-4*1*6.25) /2(1)
x= -5/2 so
in this case, b= -5/2
Taking 2x is power of 3.
So it will be like 3^(2*1/2) + 1
You are replacing 'x' with 1/2
and the equation becomes 3^1+1
So, f(1/2) = 4
Answer is 4.
If its like
<span>3^(2x+1)
Then its like 3^[(2*1/2) +1]
It becomes 3^(1+1) = 3^2 = 9
So, the answer is 9
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Answer:
B. It is too risky to use credit cards online, and online payment services have better security because of the increasing number of hackers that may steal money from your bank account.
Step-by-step explanation:
Answer:
Y = 0.4925X - 22.26 ;
(-12.413, 13.398) ;
Yes, there is
Step-by-step explanation:
X = IQ Score ; Y = musical aptitude
The regression equation from the table given using the slope and intercept coefficient :
Y = 0.4925X - 22.26
0.4925 = slope ; Intercept = - 22.26
The 95% confidence interval of the slope :
Confidence interval = b ± Tcritical*SE
Tcritical at 95%, df = n - 2 = (20 - 2) = 18
Tcritical = 2.1009
b = slope Coefficient = 0.4925
S.E = 6.143
Hence, we have :
Confidence interval = 0.4925 ± (2.1009 * 6.143)
Confidence interval = 0.4925 ± 12.9058287
Lower boundary = 0.4925 - 12.9058287 = - 12.413
Upper boundary = 0.4925 + 12.9058287 = 13.398
(-12.413, 13.398)
There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.