Identify the dependent variable in the statement: the quality of a public school teacher and the amount of student learning.
2 answers:
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So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2:
Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses:
Now you can rewrite this as , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is
. Applying that here, we have
. x^4 + 5x^2 - 36 is completely factored.
Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x:
Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside:
Now you can rewrite the equation as . 2x^2 + 9x - 5 is completely factored.
Answer:
<u>m = 0</u>, y = -6
Step-by-step explanation:
using point slope form :
y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).
one substituted, it should look like this:
-6--6 = m(7-4),
-6+6= m(7-4)
0 = m(7-4)
0 = 3m
0/3 = 3/3m
0 = m
m = 0/3 = 0