Answer: 14
Step-by-step explanation:
We arrange the number as -3, 1, 7, 8, 18, 19, 42, the old median is 8.
But the median has change to 11 when the number is add, which means that the number is between 7 and 18.
(8 + x)/2 = 11 Where x is the new number
8 + x = 22
x = 14
Answer:
a. 7x/3x-3
Step-by-step explanation:


So the paraboloid is given by

which holds for

, i.e. when

and

.
To make sure this is correct, plug in

and

to find out the value of

, and see if these points are on the paraboloid.




Both of these hold, so the answer is correct.
Answer:
14 and 6
Step-by-step explanation:
Let's start by naming the first number x.
We can name the second number y.
We can set up equations to model our situation.
x+y=2x-8
x-y=2y-4
Let's simplify the equations.
x+y=2x-8
Subtract 2x from both sides
-x+y=-8
__________
x-y=2y-4
Subtract 2y from both sides.
x-3y=-4
Add the two equations together to eliminate x.
x-3y=-4
-x+y=-8
________
0x-2y=-12
-2y=-12
Divide both sides by -2.
y=6
The second number is 6.
Plug that back in.
x+6=2x-8
Subtract x from both sides
6=x-8
Add 8 to both sides
x=14
The first number is 14