Answer:
Step-by-step explanation:
Given that:

This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c
here c is the constant.

By cross multiply



From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.
Now,

This is the equation for the family of the eclipses centred at (0,0) is :


Therefore; the level of the curves are all the eclipses with the major axis:
and a minor axis
which satisfies the values for which 0< c < 100.
The sketch of the level curves can be see in the attached image below.
Answer:

Step-by-step explanation:




but if

then since


so

or





Answer:
289.92
Step-by-step explanation:
Multiply the numbers together
Answer:
Equations:
a + b = 19
a = b + 2
a = Money that spent Laura
b = Money that spent Laureen
then:
(b+2) + b = 19
2b + 2 = 19
2b = 19-2
2b = 17
b = 17/2
b = 8.5
a = b + 2
a = 8.5 + 2
a = 10.5
Check:
10.5 + 8.5 = 19
Just make the equations equal to each other. -0.5x+5=3x-2. Solve for x and find that it is 2, via simple algebra. Since you know x is 2, sub it in in either equation to find y. y should be 4. So the point that fits both equation is (2,4). This shows that the two graphs of these lines will intersect at this exact point.
If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.