Answer:
either x or y must equal 0
Step-by-step explanation:
ts given that xy = 0
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied to any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
Hence, the condition which has to be true in all cases for xy = 0 is:
either x or y must equal 0
Answer:
(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)
Step-by-step explanation:
Given
(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
Thus
(a + b)³ + 8c³
= (a + b)³ + (2c)³
= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )
= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)
Greatest common factor: 48
Answer: C $1.51
To solve this, start with a proportion. Put the CPI numbers on the left and the apple juice prices on the right.
You will have:
82.4/130.7 = 0.95/x
Cross multiply to solve and you will get the price of the juice is $1.51.
1/2 of 22:
1/2 · 22 = 22/2 = 11
2/3 of 16
2/3 · 16 = 32/3 = 10 2/3
