Answer:
9g -5k
Step-by-step explanation:
For Q3, you can subsitute x = 2 and y = 5 into the systems
-5(2) + 5 = -5
so it's a solution for the first system
-4(2)+2(5) = 2
it's also a solution for the second system
Answer:
The answer is
.
Step-by-step explanation:
First, it is important to recall that the group law is not commutative in general, so we cannot assume it here. In order to solve the exercise we need to remember the axioms of group, specially the existence of the inverse element, i.e., for each element
there exist another element, denoted by
such that
, where
stands for the identity element of G.
So, given the equality
we make a left multiplication by
and we obtain:

But,
. Hence,
.
Now, in the equality
we make a right multiplication by
, and we obtain
.
Recall that
and
. Therefore,
.
Answer:
y = 4x - 1
Step-by-step explanation:
Equation y = 4x - 1 matches the function described in the table.
<span>So, the volume of a container can also be thought of as the amount of liquid that the container is capable of holding. It follows that 450=(length)(width)(height). The constraints of the problem say that the length of the box must be twice as large as the width, so it follows that j(height)=(2w)(w)(height)-450. This then implies that j(height)=(2w^2)(height)-450. In simpler terms, the height is defined as 450/(2w^2), or j(w)=450/(2w^2).</span>