34. x - 3 = 8x + 4
-3 - 4 = 8x - x
-7 = 7x
-7/7 = x
-1 = x
y = x - 3
y = -1 - 3
y = -4
solution is (-1,-4)
===================
35. -6 = -x - 2y
x = -2y + 6
2 + 5x = -2y
2 + 5(-2y + 6) = -2y
2 - 10y + 30 = -2y
32 = -2y + 10y
32 = 8y
32/8 = y
4 = y
2 + 5x = -2y
2 + 5x = -2(4)
2 + 5x = -8
5x = -8 - 2
5x = -10
x = -10/5
x = -2
solution is (-2,4)
==================
36. 4x + 6y = 2000
x + y = 410
==================
37. 4x + 6y = 2000
x + y = 410......multiply by -6
----------------------
4x + 6y = 2000
-6x - 6y = - 2460 (result of multiplying by -6)
--------------------add
-2x = - 460
x = -460/-2
x = 230 <=== tickets in advance
I'm taking the liberty of editing your function <span>v = e5xey: It should be
</span>
<span>v = e^5x^ey, with " ^ " indicating exponentiation.
</span>
Did you mean e^(5x) or (e^5)x? I'll assume it's e^(5x).
The partial of v = e^(5x)e^y with respect to x is e^(5x)(5)*e^y, or 25x*e^y.
The partial of v = e^(5x)e^y with respect to y is e^(5x)e^y.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The number of cars packed is 
The objective of this solution is to find the probability that the car which has a sunroof also has four doors
This probability is mathematically represented as

Baye's Rule define this probability mathematically as

From the diagram

and 
So

Answer:
953.78 in^3 of grain.
Step-by-step explanation:
The volume of a cylinder = π r^2 h.
For this cylinder r = radius of the base = 9/2
= 4.5 in and the height h = 15 in
So the volume is 3.14 * 4.5^2 * 15
= 953.78 in^3.
Answer:
c
Step-by-step explanation:
brain math