Transforming
to
gives the effect of squashing the graph horizontally (by halving the x-coordinate)
Then from
to
is reflecting on the y-axis
Then from
to
is to translate by 4 units to the right
Finally from
to
is translating the graph up by 5 units
Answer:
-4x^5+20x^4-40x^3+40x^2-20x+4
Step-by-step explanation:
10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
Step-by-step explanation:
Let x be the number of liters of 60% saline solution
Now we require 10 L of 30% saline solution.
Liter soln % liters saline %
30 % 10 0.3
60 % x 0.6
10 % 10-x 0.1
Now forming the algebraic equation,
0.6x + 0.1 (10-x) = 10 (0.3)
0.6x + 1 - 0.1 x = 3
0.5 x = 2
x = 4 ( 4 l of 60 % solution is required. So 10 % saline solution required is 10 - 4 = 6 L).
Hence, 10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
Answer:
I. Base area = 35 cm²
II. Volume of rectangular prism = 350 cm³
Step-by-step explanation:
Given the following data;
Length = 7cm
Breadth = 5cm
Height = 10cm
a. To find the base area of the rectangular prism;
Base area = length * breadth
Base area = 7 * 5
Base area = 35 cm²
b. To find how much it takes to fill the rectangular prism, we would need to determine its volume.
Volume of rectangular prism = length * breadth * height
Volume of rectangular prism = 7 * 5 * 10
Volume of rectangular prism = 350 cm³
c. To find the answers to the other part of the question, we would determine the capacity of the prism in litres.
Capacity = volume in cm³ to litres
1 centimeter = 0.001 litres
Capacity = 350 * 0.001
Capacity = 0.35 litres.
