The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
A function can be represented by equations and tables
- 4 users are logged in by 9am
- The domain is [3,23] and the range of the function is [3,4]
<h3>The number of users at 9am</h3>
The function is given as:
At 9am, x = 9.
So, we have:
Simplify
Approximate
Hence, 4 users are logged in by 9am
<h3>The domain</h3>
Set the radical to 0
Solve for x
The maximum time after midnight is 23 hours.
So, the domain is [3,23]
<h3>The range</h3>
When x = 3, we have:
When x = 23, we have:
So, the range of the function is [3,4]
Read more about domain and range at:
brainly.com/question/2264373
Answer:
= 10x-15-20z
Step-by-step explanation:
5 x 2=10 add the x to the end
5 x 3=15
5 x 4= 20 add the z to the end
Hope this helps (:
so it says 6 times as old as June
so that would be 6x
then it said the sum so that's addition is no less than so that's subtraction
so it would be
X because we June's father age
so x times 6 > 77
Its just pythagorean theorem so you would do this:
a^2+b^2=c^2
30^2+ 13^2= 1069
then u square root the answer (1069)
which would then give you 32.695
and then you round to nearest tenth which is one place after the decimal
32.7 would be your answer for the first one.
Hope that helps!
