Answer:
((2 x + 1) (4 x^2 - 2 x + 1))/8
Step-by-step explanation:
Factor the following:
x^3 + 1/8
Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:
(8 x^3)/8 + 1/8
(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:
(8 x^3 + 1)/8
8 x^3 + 1 = (2 x)^3 + 1^3:
((2 x)^3 + 1^3)/8
Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):
((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8
1^2 = 1:
((2 x + 1) ((2 x)^2 - 2 x + 1))/8
Multiply each exponent in 2 x by 2:
((2 x + 1) (2^2 x^2 - 2 x + 1))/8
2^2 = 4:
Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8
Answer:
$20
Step-by-step explanation:
the manager's error could likely be putting the percentage mark up rather than the markup price added to the original price
25%×16
= $4
mark up price= (16+4)$
= $20
Combing like terms you have 0.25k - k = -0.75k
and 1.5 - 3.5 = -2.0
The answer would be -0.75k - 2.0
Answer:
The volume is 1386 cm³ and curved surface area is 396 cm².
Step-by-step explanation:
Given that,
The diameter of a cylinder is 14 cm
Height of the cylinder is 9 cm
We need to find the volume and curved surface area
.
If r is the radius, r = 14/2 = 7 cm
Volume of a cylinder is given by :
The curved surface area of the cylinder is given by :
So, the volume is 1386 cm³ and curved surface area is 396 cm².
