It's the 3rd graph that represents a linear rel. Notice that each time x increases by 1, f(x) increases by 2. Thus, the slope is 2 and the equation of the line in the 3rd graph is y = 2x - 1.
Answer:
49.087 inches
Step-by-step explanation:
Area of cylinder:
Diameter = 2.5
2.5/2 = 1.25 = Radius
Answer:
g(x) = |x - 2| - 9
Step-by-step explanation:
Translations of a function f(x):
Translation of f(x) by a units to the right is given by f(x - a).
Translation of f(x) by a units to the left is given by f(x + a).
Translation of f(x) by a units down is f(x) - a
Translation of f(x) by a units up is f(x) + a
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
2 units right: f(x - 2) = |x - 2|
9 units down: f(x - 2) - 9 = |x - 2| - 9
The answer is: g(x) = |x - 2| - 9
Answer:
The number of cubes needed = 12
Step-by-step explanation:
To know the number of cubes that will be needed to fill the prism, we need to divide the the volume of the right rectangular prism by the volume of the cube.
Mathematically, the volume of the right rectangular prism can be calculated using the formula;
V = whl
where w is the width, h is the height and l is the length.
Plugging the values we have in the question for the right rectangular prism, we have;
V = 3/4 * 1 * 1/4 = 3/16 inch^3
The volume of the cube can be calculated using the formula L^3 where L is the side length
V = 1/4 * 1/4 * 1/4 = 1/64 inch^3
The number of cubes needed to fill the prism is thus;
(3/16) ÷ (1/64) = 3/16 * 64/1 = 3 * 4 = 12