Answer:
I am going to show you the first steps to complete squares for the given equation: 1) Starting equation: 3x^2 + 9x -4 = 0 2) Add 4 to both sides => 3x^2 + 9x - 4 + 4 = 4 => 3x^2 + 9x = 4 3) Extract common factor 3 in the left side => 3 (x^2 + 3x). Now, compare with a(x^2 + 3x) and you get a = 3. Answer: a = 3.
Answer: B) 18
Step-by-step explanation:
The degree of freedom for Standard error or df(Residual) is the sample size minus the number of estimated parameters ,.
df= n - p , where n= sample size , p = number of parameters.
According to the given problem , we have
Sample size : n=20
Number of parameters (x and y ): p= 2
Then, the df value for the standard error of estimate will be :
df= n-p =20-2=18
Thus , the df value for the standard error of estimate is 18 .
Hence, the correct answer is B) 18 .
The zeros are 3 and -5. Hope this helps!
<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is 
We have to solve the above expression using change of base formula which is given as

Now, let us first apply logarithm for the given expression.
Then given expression turns into as, 
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.