Answer:
x + 3y > 6
Step-by-step explanation:
Find two points that satisfy x + 3y = 6 and draw a DASHED line through them.
It is greater than so shade the section ABOVE that line.
Using the intercept method, the two points I chose are: (0, 2) & (6, 0)
y ≥ 2x + 4
Find two points that satisfy y = 2x + 4 and draw a SOLID line through them.
It is greater than so shade the section ABOVE that line.
The two points I chose are: (0, 4) & (1, 6)
The solution is where the shaded sections overlap.
Answer:
C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.
Step-by-step explanation:
The center for Simulation A and Simulation B will be roughly equal.
Overall Sample size of Simulation A = 1500 * 100 = 150000
Overall Sample size of Simulation B = 2000 * 50 = 100000
Since the sample size for Simulation A is greater, the variability of Simulation will be less.
Therefore, The answer is C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.
1.The isosceles triangle has sides of length 14, y, y
2. According to the "triangle inequality" :
y+y>14
2y>14
y>14/2=7
(y is greater than 7)
3. Remark, check the figures:
the side lengths cannot be less than (neither equal to 7), because we cannot get a triangle in that case, check picture 2
In picture 1 wee see that the side lengths can be as large as we want. We can erect an altitude, as high as we want. Pick a point on the altitude, and join it to the endpoints of the base, and we get an isosceles triangle with base equal to 14.
Some of your pic is cut off so it's difficult to give the exact answer. But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2. This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third. Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.
Answer:
D
Step-by-step explanation:
If two lines are perpendicular, the products of their slopes will be -1. Therefore, we're looking for a line with slope of -1/2. Let's check each answer:
A: 5 - 3 / (-2 - 3) = 2 / -5
B: 6 - 5 / 6 - 5 = 1
C: 5 - 3 / 4 - 3 = 2
D: 4 - 3 / 3 - 5 = -1/2
The answer is D.