- Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.
(Make sure to set f(x) to zero)
So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 
Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as: 
Now apply zero product property to the factors to solve for x:
<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>
The slope of CD is
The slope of the perpendicular bisector is the negative reciprocal,
The perpendicular bisector passes through M, the midpoint of CD
M =( (0+2)/2, (-4 + 6)/2) = (1, -1)
So point slope form for the perpendicular bisector is
Solving for y gives slope intercept form.
Not sure how to type that without spaces; we didn't have online homework back then.
Answer: y=(-1/5)x-4/5
(2x-3)/(2(x+2))
x cannot equal -2
Answer:
a) Scores of 2 and higher are significantly high
b) Scores of -2 and lower are significantly low
c) Scores between -2 and 2 are not significant.
Step-by-step explanation:
Mean = 0
Standard deviation = 1
a. significantly high (or at least 2 standard deviations above the mean).
2 standard deviations above the mean is:
0 + 1*2 = 2
So scores of 2 and higher are significantly high
b. significantly low (or at least 2 standard deviations below the mean).
2 standard deviations below the mean is:
0 - 1*2 = -2
So scores of -2 and lower are significantly low
c. not significant (or less than 2 standard deviations away from the mean).
2 standard deviations above the mean is:
0 + 1*2 = 2
2 standard deviations below the mean is:
0 - 1*2 = -2
So scores between -2 and 2 are not significant.
<span>Kayla walks a path with a triangle shape with three corners, starting point A, point where turns north, B, and point where head towards start, C.
The question is calculate the angle in the point C, knowing that A-B distance is 4 km and B-C is 2.5
To do this calculation we are going to use the trigonometry function tangent:
tangent C = opposite/adjacent = 4/2.5 = 1.6
Then C angles is: C = arctan (1.6) = 57.99Âş
So the solution is round to 58Âş</span>
