Answer:
The empty set 
Step-by-step explanation:
Roster method is simply listing explicitly all the elements in the set, one by one (writing them between two curly brackets, and separating them through commas).
We want then to list explicitly all the elements in the following set:
The set of natural numbers x that satisfy x+2=1.
So, first we have to figure out which numbers are in that set. The set is made ONLY of those natural numbers x, that when you add 2 to them, you get 1. Clearly no natural number has that property (since the only number that would give us 1 when adding 2 to it, is the number -1, which is NOT a natural number). So there aren't any numbers at all in that set. So if we were to list them, we'd just list nothing inside the set:
(which is just the empty set)
Answer:
cylinder
Step-by-step explanation:
X= your age
400-2x=244
-2x=-156
x=78
you are 78 years old
Answer:
y = -20
Step-by-step explanation:
Given that y varies directly with x it means changing x will also cause change in y
Mathematically it can be written as:
y∝x
Removing the proportionality symbol
y = kx
Given y=25 when x=5 Putting the values
Now
We have to find the value of y when x = -4
Putting x=-4
Hence,,
y = -20
Answer:
y= 48 + 0.1x
x= miles driven
Step-by-step explanation:
<u>We need to calculate the fixed and variable cost (per mile) of renting a car. To do that, we will use the high-low method:</u>
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (65 - 58) / (170 - 100)
Variable cost per unit= $0.1 per mile
Fixed costs= Highest activity cost - (Variable cost per unit * HAU)
Fixed costs= 65 - (0.1*170)
Fixed costs= $48
Fixed costs= LAC - (Variable cost per unit* LAU)
Fixed costs= 58 - (0.1*100)
Fixed costs= $48
y= 48 + 0.1x
x= miles driven
