The one that isn’t rationals is B.
Answer:
a) 18
b)x^2+10x+18
c)x^2 -6x+2
Step-by-step explanation:
This is a case of plugging in the value into f(x).
a) f(-8)= -8^2 + 6(-8) +2
f(-8)= 64 + (-48) +2
f(-8)=64 + (-46)
f(-8)=18
b) f(x+2)= (x+2)^2+6(x+2)+2
So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.
f(x+2)= x^2+4x+4+6x+12+2
I'll reorder it
f(x+2)= x^2+4x+6x+12+2+4
f(x+2)= x^2+10x+18
c) f(-x)= -x^2+6(-x) +2
f(-x)= x^2 -6x+2
Answer:
The answer is -6
Step-by-step explanation:
Hope it helped you!
9.03 divided by 899.8 is closest to a.0.01
Answer:
t-value = 2.441
Step-by-step explanation:
Let's assume that this is a one-tailed test to calculate the critical value, the process is this:
- Calculate alpha (α): α = 1 - (confidence level / 100)
, but we already have this α=0.01
- Find the critical probability (p*): p* = 1 - α/2 = 1-0.005=0.995
- Then, the critical value would be shown as a t statistic, but for this we need:
degrees of freedom (df)= n-1=35-1=34
- The critical t statistic (t*) or critical value is the t-value having degrees of freedom equal to 34 and a cumulative probability equal to 0.995.
From the attached table we can see:
t-value = 2.441
