Answer:
Part A : y²(x + 2)(x + 4)
Part B: (x + 4) (x + 4)
Part C: (x + 4) (x - 4)
Step-by-step explanation:
Part A: Factor x²y²+ 6xy²+ 8y²
x²y²+ 6xy²+ 8y²
y² is very common across the quadratic equation , hence
= y² (x² + 6x + 8)
= (y²) (x² + 6x + 8)
= (y²) (x² + 2x +4x + 8)
= (y²) (x² + 2x)+(4x + 8)
= (y²) (x(x + 2)+ 4(x + 2))
= y²(x+2)(x+4)
Part B: Factor x² + 8x + 16
x² + 8x + 16
= x² + 4x + 4x + 16
= (x² + 4x) + (4x + 16)
= x( x + 4) + 4(x + 4)
= (x + 4) (x + 4)
Part C: Factor x² − 16
= x² − 16
= x² + 0x − 16
= x² + 4x - 4x - 16
= (x² + 4x) - (4x - 16)
= x (x + 4) - 4(x + 4)
= (x + 4) (x - 4)
The correct answer to your question is 8.
Let A = { 0 , 2 , 4 , 6 } , B = { 1 , 2 , 3 , 4 , 5 } , and C = { 1 , 3 , 5 , 7 } . Find { x ∣ x ∈ B or x ∈ C } .
EastWind [94]
Answer:
{1, 2, 3, 4, 5, 7}
Step-by-step explanation:
x in B or C is ...
B ∪ C = {1, 2, 3, 4, 5, 7}
8/ (1 1/2) = 36/x....8 muffins to 1 1/2 tsp = 36 ( 3 doz) muffins to x tsp
this is a proportion, so we cross multiply
(8)(x) = (1 1/2)(36)
8x = 3/2 * 36
8x = 108/2
8x = 54
x = 54/8
x = 6 3/4 <=== 6 3/4 tsps are needed to make 3 doz muffins
Answer:
x+2/5x
Step-by-step explanation:
x%of 40 is 2/5x
...40 increased by x% of it self = x+2/5x
