Distribute 7 to 3x and -2, and 4 to x and 5
7(3x - 2) = 21x - 14
4(x + 5) = 4x + 20
Combine like terms
21x + 4x = 25x
-14 + 20 = 6
25x + 6 is your answer
hope this helps
Answer:
.
Step-by-step explanation:
Given information:
According to the Pythagoras theorem,
Using Pythagoras theorem, we get
Taking square root on both sides.
Hence, the expression of the hypotenuse is
.
Answer:
The equation that represents the motion of the string is given by:
.....[1] where t represents the time in second.
Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.
Substitute the given values in [1] we get;
or
(a)
The trigonometric function that models the motion of the string is given by:

(b)
Determine the amount of time t that it takes the string to be damped so that 
Using graphing calculator for the equation
let x = t (time in sec)
Graph as shown below in the attachment:
we get:
the amount of time t that it takes the string to be damped so that
is, 0.5 sec
I don’t know what exactly you are trying to ask? But this equation would be an example of exponential growth.