The domain is the set of all x values which are defined (appear on the graph) of the function. In this system, all values from negative infinity to 0, but not including zero, and all values above zero, through positive infinity, are valid. We can write this in set builder notation as x: (-∞,0)∪(0,∞).
The range is the set of all y values which are defined in the function. Like the domain, the range of this function contains all value from negative infinity to positive infinity except zero. Same notation: y: : (-∞,0)∪(0,∞).
Answer:
90 cm
Step-by-step explanation:
Let the side of the square be S
Area of the square = S² = 64
So, S = √64 = 8 cm
Let L be the length of the rectangle and B be the breadth
We know B = S = 8
Area of rectangle = BL = 8L
Total area = Area of square + area of rectangle
Total area = 64 + 8L = 232 (given)
Subtracting 64 from both sides yields
8L = 232-64 = 168 or L = 168/8 = 21
Perimeter of square = 4S = 4 x 8 = 32
Perimeter of rectangle = 2(B + L) = 2(8 + 21) = 2 x 29 = 58
Total perimeter = 32 + 58 = 90 cm
Answer:
0.0778, 0.1789,0.0250
Step-by-step explanation:
Given that μ denote the true average reaction time to a certain stimulus. For a z test of H0: μ = 5 versus Ha: μ > 5
(Right tailed test)
To find p value:
a) Z = 1.42: p = 0.077804
=0.0779
b) z = 0.92
p value = 0.1789
c)z= 1.96
p value = 0.0250
3x - y = 2
y = 2x - 9
Substitute:
3x - 2x - 9 = 2
x - 9 = 2
x = 11
Substitute your answer into any equation:
y = 2x - 9
y = 2(11) - 9
y = 22 - 9
y = 13
Answer:
x = 11 ; y = 13
Answer:
Option a) A line joining points, does not describe the slope.
Step-by-step explanation:
Slope of a line:
- Slope is calculated by finding the ratio of the vertical change to the horizontal change between two distinct points on a line.
- It is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
- Slope of a line is a number that describes both the direction and the steepness of the line.
- Slope gives the constant rate of change or a measure of change between two points.
Hence, from the given options slope is not a line segment joining two points but it is the change in the line segment between two points.
Hence, option a) A line joining points, does not describe the slope.