The volume of the first cube is (5h^2)^3, while the volume of the second cube is (3k)^3, so their total volume is (5h^2)^3 + (3k)^3. We can use the special formula for factoring a sum of two cubes:
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
(5h^2)^3 + (3k)^3 = (5h^2 + 3k)((5h^2)^2 - (5h^2)(3k) + (3k)^2)
= (5h^2 + 3k)(25h^4 - 15(h^2)(k) + 9k^2)
This is the second of the given choices.
Answer:
33
Step-by-step explanation:
11 is a command factor of 33
11, 22, 33
Answer:
4 cups
Step-by-step explanation:
Given the point (8, 1 )
This tells us that 1 cup can be filled using 8 fluid ounces
Divide 32 by 8 to find number of cups
32 ÷ 8 = 4
Then 4 cups can be filled from 32 fluid ounces
Plot the point (32, 4 ) on the grid
Answer:
True, a strict inequality would be graphed with a dashed line
Answer:
25 pounds of mix A
10 pounds of mix B
Step-by-step explanation:
Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:
Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:
Solving the linear system:
In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B
