Hello from MrBillDoesMath!
Answer:
4( x + 1.5)^2 + 0
Discussion:
4x^2 + 12x + 9 = => factor "4" from first 2 terms
4 (x^2 + 3x) + 9 = => complete the square, add\subtract (1.5)^2
4(x^2 + 3x + (1.5)^2) - 4 (1.5)^2 + 9 =
4 ( x + 1.5)^2 + ( 9 - 4(1.5)^2) = => as (1.5)^2 = 2.25
4 ( x + 1.5)^2 + ( 9 - 4(2.25)) = => as 4 ( 2.25) = 9
4 ( x+ 1.5)^2 + 0
Thank you,
MrB
Answer:
The correct option is;
A. A set of nine data pairs with a correlation coefficient r = -0.4
Step-by-step explanation:
In statistical analysis, it is important to make use of an adequate sample size in order to arrive at a valid result. An analysis with a very small sample size can provide misleading results
When performing regression analysis it is generally accepted by researchers that each variable should have at least 10 observations.
Therefore, the data set having nine data pairs with a negative correlation of -0.4 will provide the most valid result that can then be used for generalization about the larger statistical population.
5: six twelfths is one half
6: eight tenths is four fifths
7: four eighths is one half
8: ten tenths is two halves
9: two sixths is one third
10: one quarter, because you divide the top and bottom number by 3
method:
take the first one - four eighths, which is 4/8
the question gives you what to divide them by, 4, so u divide both the top number and bottom number to get 1/2, which is one half :)
<span>(−3, 0) and (0, 6)
Each of these work in both equations</span>
