Answer:
2
Step-by-step explanation:
f(x) = 2x - 3 is a linear function
The rate of change of a linear function is the measure of the slope.
The equation is in slope- intercept form, that is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 3 has slope m = 2
Thus rate of change = 2
The formula for the volume of a cylinder is V=3.14r^2(h).
So substituting the volume: 20,403.72=3.14r^2(h).
To solve for ‘r’, divide both sides by 3.14h
r^2=6,498/h
Then find square root of both sides
r= sqrt(6,498/h)
Since ‘h’ is not specified here, it cannot be solved further.
Answer:
Step-by-step explanation:
These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.
We use substitution here because it is easier.
Equation 1

Equation 2

Lets take equation 1

This is our equation 3 , now put it inside equation 2.

We found the value of y , now to find the value of x insert the value of y in equation 3

Solved ! See the attached image on both the straight line graphs i have attached for better understanding. Where both the lines intersect each other is our value of (x , y) respectively.
Answer:
4(x-3)(x+6)
Step-by-step explanation:
We factor out the 4 first since all numbers are divisible by 4. That leaves us with x^2+3x-18.
Then we factor this to get (x-3)(x+6).
So the factored form of the equation is 4(x-3)(x+6)