Answer:
x = - 5
Step-by-step explanation:
Given
= 2x ( multiply both sides by 3 to clear the fraction )
2x - 20 = 6x ( subtract 2x from both sides )
- 20 = 4x ( divide both sides by 4 )
- 5 = x , that is x = - 5
Answer:
Volume of water and air is 3,000 mm³
Step-by-step explanation:
Given:
Length of base = 15 mm
Width of base = 20 mm
Height of figure = 30 mm
Find:
Volume of water and air is inside each of the plastic ice cubes.
Computation:
Height of each rectangular pyramid = Height of figure / 2
Height of each rectangular pyramid = 30 / 2
Height of each rectangular pyramid = 15 mm
Volume of each rectangular pyramid = lbh / 3
Volume of each rectangular pyramid = [15 × 20 × 15] / 3
Volume of each rectangular pyramid = [4,500] / 3
Volume of each rectangular pyramid = 1,500 mm³
Volume of water and air is inside each of the plastic ice cubes = 2 × Volume of each rectangular pyramid
Volume of water and air is inside each of the plastic ice cubes = 2 × 1,500
Volume of water and air is inside each of the plastic ice cubes = 3,000 mm³
Slope intercept: y = mx + b
Y = 9x + b, plug in point
9 = 9(0) + b, b = 9
Solution: y = 9x + 9
Answer:
Step-by-step explanation:
From your characteristic equation, your recursive equation is

the general solution:

The initial conditions are

For f(0) = 1, that is

For f(1) = 3, that is


From (*) and (**) you solve for A and B
you have A = 4/7 and B= 3/7
Replace A, B into the general one, you have the particular solution for the given condition
