Answer:
-8
Step-by-step explanation:
5(x+12)= 20
5x+60= 20
5x= -40
x= -8
Answer:
itb would be 60
Step-by-step explanation:
thata my answer
Answer:
14%
Step-by-step explanation:
1. The formula to find percent change is
. Now, all we have to do is plug in the values to their corresponding variable.
2. (Solving)
- 14%
Answer:
The expectation is 
Step-by-step explanation:
From the question we are told that
The first offer is 
The second offer is 
The third offer is 
The number of tickets is 
The price of each ticket is 
Generally expectation is mathematically represented as

given that they just offer one
Now
given that they just offer one
Now
given that they offer five
Hence the expectation is evaluated as


Now given that the price for a ticket is 
The actual expectation when price of ticket has been removed is


Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t