Answer:
C.  f(-1) =12
Step-by-step explanation:
 f(x)= 3x^2+9
Let x=-1
f(-1) = 3(-1)^2 +9
       = 3(1)+9
       = 3+9
       = 12
f(-1) =12
 
        
                    
             
        
        
        
Answer:
Ted is correct. Maggie made mistakes while trying to isolate x for both equations.
Step-by-step explanation:
For 3x-2=0, in order to move -2 to the left side, Maggie had to add 2 on both sides because -2+2=0. The same problem is seen for x+5=0. Maggie had to subtract 5 on both sides because +5-5=0
 
        
             
        
        
        
Answer:

or

Step-by-step explanation:
-7,-3,1,5,... is a arithmetic sequence.
Arithmetic sequences have a common difference. That is, it is going up by 4 each time.
When you see arithmetic sequence, you should think linear equation.
The point-slope form of a line is  .
.
m is the common difference, the slope.
Any they are using the point at x=1 in the point slope form.  So they are using (1,-7). 
So let's put this into our point-slope form:


Subtract 7 on both sides:

So your answer is 

 
        
             
        
        
        
Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:  
Population mean, μ = 4
Sample mean,  = 4.8
 = 4.8
Sample size, n = 15
Alpha, α = 0.05 
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
 
 
We use two-tailed t test to perform this hypothesis.
Formula:
 
 
Putting all the values, we have 

 Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.