Answer:
Domain is all real numbers.
Range is all real numbers.
Step-by-step explanation:
The domain is all the possible x values that are allowed.
The range is all the possible y values that are allowed.
Since this is a linear function, its graph is a straight line stretching from - infinity to infinity on both x and y axes, hence domain and range is all real numbers from - infinity to infinity.
This particular linear function (of form y = mx + c) has gradient m = 3 so slopes up to the right, and y-intercept c = - 5, an hence x-intercept 5/3.
The graph is sketched below and clearly extends indefinitely in terms of range and domain.
graph{3x-5 [-9.71, 10.29, -5.92, 4.08]}
The theoretical probability is 1/2 if the coin is fair.
Here the experimental probability = 5/27 which is a lot less than the theoretical
Theoretical = 0.5 , experimental = 0.185
Difference in probability = 0.500 - 0.185 = 0.315 = 0.32 to nearest hundredth.
The student is not entirely correct. If the student said "the sum, difference, and product of two integers are always integers", then they would be fully correct. I left out "quotient".
Dividing two integers doesn't always lead to an integer result. For example, 10/7 = 1.43 approximately.
Answer:
42 un^2
Step-by-step explanation:
You can split the hexagon into 2 triangles and a rectangle. For this, I will use the triangle that goes from (-5, 2) to (2, 2) to (-1, 4), the triangle that goes from (-5, -2) to (2, -2) to (-2, -4), and the rectangle that goes from (-5, 2) to (-5, -2) to (2, -2) to (2, 2). The top triangle is 7 units by 2 units, so using triangle formula, you get 7*2/2 = 7. The rectangle is 4 by 7, so you get 4*7=28, and the bottom triangle is 7 units by 2 units (identical to top triangle) so you get 7. 28+7+7=42 units^2