9514 1404 393
Answer:
see attached for the drawing
slope = -1/2
Step-by-step explanation:
For the rise of -1 and the run of 2, the slope is ...
m = rise/run = -1/2 . . . . slope in simplest form
__
<em>Additional comments</em>
It usually works best if you can identify points on the graph where the line crosses grid intersections. Then the number of squares in each direction can be counted easily. If you work with two grid intersections that are closest together, then the ratio of rise to run will already be in reduced form.
On this graph, there are other grid crossing points that are 4, 6, 8 units to the right or left of the one where we started. You need to remember that "run" is positive in the "right" direction, and "rise" is positive in the "up" direction.
We have shown the "rise" and "run" lines above the graphed line. They can also be shown below the graphed line.
Here, the grid squares are 1 unit in each direction. You need to pay attention to the scale, because some graphs have different numbering vertically than horizontally. The values for "rise" and "run" need to be figured using the appropriate scale.
Answer:
nothing
Step-by-step explanation:
you do not have to do anything given these seven sample means. This is because the sample means are all within the upper and the lower control limits. the plots are randomized and they do not form any patterns. This process is still in control so you do not really have to do anything. This answers the question.
Answer:
a = -4
b = 3
c = 6
Step-by-step explanation:
x^2 + 8x = 38
We take the coefficient of the x term
Divide by 2 and then square it
8/2 =4
4^2 = 16
Add 16 to both sides
x^2 +8x + 16 = 38 + 16
x^2 +8x +16 = 54
Take b/2 and use it in the the (x+b/2)^2
(x+4)^2 = 54
Take the square root of each side
sqrt((x+4)^2) = ± sqrt(54)
x+4 = ± sqrt(54)
Subtract 4 from each side
x+4-4 = -4 ± sqrt(54)
x = -4 ± sqrt(54)
Simplify the square root
x = -4 ± sqrt(9*6)
x = -4 ± sqrt(9) sqrt(6)
x = -4 ± 3 sqrt(6)
Answer:
Domain (-2,3)
Range (-10, 20)
Function: Definitely
Step-by-step explanation: So check it right. Starting with Domain how far do our values go in the x direction positive and negative in this case the farthest to the left is -2 and to the right is 3. For range same thing but now we look at the y axis -10 is lowest and 20 is the highest. Open circles don't affect our domains or range but they are important for determining functions. This is a function because going up and down the graph vertically at any points doesn't collide with any point more than once. If the open circle were closed then this would not be a function but in this case it is a function.
Answer:
Median is 135
Step-by-step explanation:
