Answer:
y=0
Step-by-step explanation:
x y
-2 0.04
-1 0.2
0 1
1 5
2 25
Answer:
Step-by-step explanation:
3x^2 + 5x + 25 when x = 3
= 3(3)^2 + 5(3) + 25
= 3(9) + 15 + 25
= 27 +15 + 25
= 67
Answer:
45
Step-by-step explanation:
The 4 part of the ratio represents Pip's 20 sweets
Dividing 20 by 4 gives the value of one part of the ratio
20 ÷ 4 = 5 sweets ← value of 1 part of the ratio
Thus
Pip gets 20 sweets
Angad gets 20 sweets ( 4 parts of the ratio )
Nick gets 5 sweets ( 1 part of the ratio )
Total number of sweets = 20 + 20 + 5 = 45
Answer: If the dimension of V is n, then V has n elements.
Now, dim(U) + dim(W) = n, this means that the addition of the dimensions of U and W also has n elements.
and because U and W are subspaces of V, you know that every element on U and W is also an element of V.
If U ∩ W = ∅, means that there are no elements in common between U and W.
Because there are no elements in common, then Dim(U) + Dim(W) = dim(U ∪ W) = n
So U ∪ W has the same number of elements as V, and every element of W and U is also an element of V
this means that U ∪ W = V.