Answer:
D
Step-by-step explanation:
let y = f(x), that is
y = 
Rearrange making x the subject
Multiply both sides by 5
5y = 2x - 3 ( add 3 to both sides )
5y + 3 = 2x (divide both sides by 2 ) , then
x = 
Change y back into term of x, hence
(x) =
→ D
Answer:
32 robberies
Step-by-step explanation:
To find the amount here, divide 64 by 2 (or multiply by 1/2).
64 / 2
How many times does 2 go into 6? (3)
3-
4 / 2
How many times does 2 go into 4? (2)
32 robberies
Answer:
the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.
Step-by-step explanation:
The variation of the concentration of salt can be expressed as:

being
C1: the concentration of salt in the inflow
Qi: the flow entering the tank
C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)
Qo: the flow going out of the tank.
With no salt in the inflow (C1=0), the equation can be reduced to

Rearranging the equation, it becomes

Integrating both sides

It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.

The final equation for the concentration of salt at any given time is

To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation:

Answer:
f(x) = 5 - x has a negative slope.
Step-by-step explanation:
Y = mx + c is the general form for a straight line.
Whem m is negative the slope is negative
Consider f(x) = 5 - x
f(x) = -x + 5
- so the slope is negative.
For g(x) we see that g(x) increases with x so the slope id positive.
Answer:
(4,-2)
Step-by-step explanation:
you just need to move from point P to 5 units to the right and 7 units down