Answer:
f
(
x
)
=
12
x
Step-by-step explanation: 3x4=12 so that makes it f(x)=12x
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%.
-4 as if it was -1/4 that would mean it goes to right 4 times and down 1
Answer:
<h2>x = 7</h2>
Step-by-step explanation:
Simplifying
x + 20 = 5x + -8
Reorder the terms:
20 + x = 5x + -8
Reorder the terms:
20 + x = -8 + 5x
Solving
20 + x = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
20 + x + -5x = -8 + 5x + -5x
Combine like terms: x + -5x = -4x
20 + -4x = -8 + 5x + -5x
Combine like terms: 5x + -5x = 0
20 + -4x = -8 + 0
20 + -4x = -8
Add '-20' to each side of the equation.
20 + -20 + -4x = -8 + -20
Combine like terms: 20 + -20 = 0
0 + -4x = -8 + -20
-4x = -8 + -20
Combine like terms: -8 + -20 = -28
-4x = -28
Divide each side by '-4'.
x = 7
Simplifying
x = 7