X = 3 Right side length!
I hope this helps. :)
Answer:
B. y = -0.58x^2 -0.43x +15.75
Step-by-step explanation:
The data has a shape roughly that of a parabola opening downward. So, you'll be looking for a 2nd-degree equation with a negative coefficient of x^2. There is only one of those, and its y-intercept (15.75) is in about the right place.
The second choice is appropriate.
_____
The other choices are ...
A. a parabola opening upward
C. an exponential function decaying toward zero on the right and tending toward infinity on the left
D. a line with negative slope (This might be a good linear regression model, but the 2nd-degree model is a better fit.)
The given plane has normal vector
Scaling <em>n</em> by a real number <em>t</em> gives a set of vectors that span an entire line through the origin. Translating this line by adding the vector <2, 1, 1> makes it so that this line passes through the point (2, 1, 1). So this line has equation
This line passes through (2, 1, 1) when <em>t</em> = 0, and the line intersects with the plane when
which corresponds the point (3, -1, 1) (simply plug <em>t</em> = 1 into the coordinates of 
).
So the distance between the plane and the point is the distance between the points (2, 1, 1) and (3, -1, 1):
Answer:
See below in bold.
Step-by-step explanation:
(A) 20 -4x=12 -x+8-3x
-4x + x + 3x = 12 + 8 - 20
0 = 0 This is an Identity.
Infinite solutions.
B). 5x+4x-3=24+8x
9x - 8x = 24 + 3
x = 27. One solution.
C. 5x+6=2x+6+3x-15
5x - 2x - 3x = -15 + 6 - 6
0 = -15
No solution.
