Answer:
The price of one gallon of milk is $3.5
Step-by-step explanation:
Let
x----> the price of one loaves of bread
y----> the price of one gallon of milk
we know that
4x+y=12.50 ----> equation A
2x+2y=11.50 ----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (2.25,3.5)
see the attached figure
therefore
The price of one loaves of bread is $2.25
The price of one gallon of milk is $3.5
Answer:

Step-by-step explanation:
T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:

We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.
Answer:

Step-by-step explanation:
The salary per year is the combination of the $42000 per year (constant) plus the 2% rise per year. So the ecuation is:
Firt year 
Second year 
Generalizing:

Answer:
w = y - x is the equation to find w
Where,
w = Weight of the liquid
x = Weight of the empty can
y = Weight of the can with liquid
Step-by-step explanation:
Let
Weight of the empty can = x
Weight of the liquid = w
Weight of the can with liquid = x + w = y
x= 30 grams
w = ?
y= 47.3 grams
y = x + w
w = y - x
= 47.3 - 30
= 17.3
w= 17.3 grams
Therefore, the weight of the liquid is 17 .3 grams
For this case we have the following inequality: y < 3x + 1 < br/ >
What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.
The shaded region represents the solution of the system of equations.
For the point (0, 0) we have:
0 < 3(0) + 1 < br / >
0 < 0 + 1 < br / >
0 < 1 < br / >
Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.
Then, the points that are on the line, are not part of the solution because the sign is of less strict.
Hope I helped ~~Laurel