Just set them equal to each other
2x-2= x+3
2x-5=x
-5= -x
X=5
Hope it helps
Answer:
The function that represents the mass of the sample after t days is
.
The percentage rate of change per hour is of -2.46%.
Step-by-step explanation:
Exponential amount of decay:
The exponential amount of decay for an amount of a substance after t days is given by:

In which A(0) is the initial amount, and r is the decay rate, as a decimal.
Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.
This means, respectively, that 
So



The function that represents the mass of the sample after t days is
.
Hourly rate of change:
Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So
-59%/24 = -2.46%
The percentage rate of change per hour is of -2.46%.
18/24 can both be divided by 6, so it's 3/4
Answer:
1
Step-by-step explanation:
We have the function

and we want to know the value of
.
The first step is to find
; we can subtract 1 from it at the end! But what does
mean?
Basically, we're saying <em>"what is the value of the function when </em>
<em> ?"</em>
So, we simply replace
with 3 in the function, and we get:
.
Finally, we subtract 1 to find
.
Answer:
2.32 gallons of paint
Step-by-step explanation:
First, find the area of all 4 sides of the room, with the equation A = lw
11(10)
= 110 (for 2 of the walls)
18(10)
= 180 (for the other 2 walls)
Add these up:
110 + 110 + 180 + 180
= 580
Then, divide this by 250:
580/250
= 2.32
So, 2.32 gallons of paint will be needed to paint the room.