Answer:
Step-by-step explanation:
In choices a and b, the bases are positive numbers greater than 1, and so these are growth functions. In c and d, the bases are between 0 and 1, and thus these are decay functions.
In the second problem we have 3ln(x + 1). Rewrite this as ln(x + 1)^3.
We also have 9ln(x - 4). Rewrite this as ln(x - 4)^9.
Because of the + sign connecting ln(x + 1)^3 and ln(x - 4)^9, these two logs combine to form
ln [ (x + 1)^3 ] * (x - 4)^9 (the log of a product).
Now we have:
ln [ (x + 1)^3 ] * (x - 4)^9 - 4ln(x + 7), or:
[ (x + 1)^3 ] * (x - 4)^9
ln ------------------------------------
(x + 7)^9
Answer: b. 0.98
Step-by-step explanation:
The formula to find the maximum error of the estimated mean :
(1)
, where 
= standard deviation
n= Sample size
z* = Critical z-value.
As per given , we have
n=100
Critical value for 95% confidence interval = z*=1.96
Put these values in the formula (1), we get
Hence, the maximum error of the estimated mean quality for a 95% level of confidence is 0.98.
Therefore , the correct answer is b. 0.98 .
Answer:
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1: dom f=R
2: img f =R
3: 2x²-x-6=2(x²-2x/4+1/46)-6-1/8=2(x-1/4)²-49/8
Vertex=(1/4,-49,8)
4: roots are -3/2 and 2
2(x-1/4)²-49/8=1/8[(4x-1)²-49]=1/8*(4x+6)(4x-8)
5:
From the vertex to ∞
[-1/4 , ∞)
