X varies directly with y means x=ky
k is the constant of variation
given when x=32 and y=8
32=8k
divide by 8
4=k
so
x=4y
when y=44
x=4(44)
x=176
x=176 when y=44
Answer:
15 apples
Step-by-step explanation:
Add 10 and 5,
10 + 5 = 15
Answer:
Step-by-step explanation:
We will solve this questions using some dimensionality analysis.
a) Note that
is a vector space of dimension 4. So, given a set of three vectors, they could be or could not be linearly independent. However, if they were, they would not span
since in order for us to span
we need 4 or more vectors. Since a set of three vector cannot span this space, they automatically cant be a basis for
.
b)
has a dimension 3. So, for a set of vectors A to span this space, we need that A contains at least 3 vectors that are linearly independent. So A could have possibly infinite number of vectors as long as there is a subset of A that is composed by 3 linearly independent vectors.
is the factored form of 
<em><u>Solution:</u></em>
We have to factor the given expression

We can use the algebraic identity to factor the given expression

Lets make the given expression in form of 


Now apply the algebraic property in above expression
Here, a = 2x and b = 3y
Therefore,


Thus the given expression is factored out
From your wording, I understand:

Is this right? Can you edit your question to actually have the equation instead of words!?