Answer:
a square and a rectangle
Step-by-step explanation:
Compute the differential for both sides:
4<em>y</em> - 3<em>xy</em> + 8<em>x</em> = 0
→ 4 d<em>y</em> - 3 (<em>y</em> d<em>x</em> + <em>x</em> d<em>y</em>) + 8 d<em>x</em> = 0
Solve for d<em>y</em> :
4 d<em>y</em> - 3<em>y</em> d<em>x</em> - 3<em>x</em> d<em>y</em> + 8 d<em>x</em> = 0
(4 - 3<em>x</em>) d<em>y</em> + (8 - 3<em>y</em>) d<em>x</em> = 0
When <em>x</em> = 0, we have
4<em>y</em> - 3•0<em>y</em> + 8•0 = 0 → 4<em>y</em> = 0 → <em>y</em> = 0
and with d<em>x</em> = 0.05, we get
(4 - 3•0) d<em>y</em> + (8 - 3•0) • 0.05 = 0
→ 4 d<em>y</em> + 0.4 = 0
→ 4 d<em>y</em> = -0.4
→ d<em>y</em> = -0.1
There are really only two different shades of what I think is pink.
1/3 is equal to 2/6 which is equal to 3/9
1/2 is equal to 2/4 which is equal to 4/8
The bolded ones are the original mixtures given.
Start with 1/3 Multiply top and bottom by 2 and you get 2/6
When you multiply top and bottom of 1/3 by by 3 you get 3/9
Use the same idea for 1/2
Answer:
Rational numbers
Step-by-step explanation:
Since 1.18 is a decimal number, it cannot belong to the set of integers or whole numbers.
However, also because it's a decimal number, it is rational because it can be written in the form p/q: 
.
Thus, 1.18 is only a rational number.
Hope this helps!
option 1 is not linear because it does not change by the same amount every year. It does not have a constant slope.
option 2 increases by 100 per year, constant slope, straight line, linear
-----------------------
a = A y^n
1100 =A y
1210 = Ay^2
1331 = A y^3
---------------
1210/1100 = y = 1.1
check 1331/1210 = y = 1.1 sure enough
1100 = A (1.1)
A = 1000
so
a = 1000 * 1.1^n
and the linear option 2
a = 1000+100n
You can put the numbers in for part C
10% compounded is better than 10% simple :)
