find the zero of the function:
f(x)=7.5x-20
Set f(x)=0.
f(x)=7.5x-20=0
7.5x=20
x=?
x=2.66
To find the zero of the function f(x) = 7.5x - 20, we can set f(x) equal to zero and solve for x:
0 = 7.5x - 20
To isolate x, we can add 20 to both sides of the equation:
20 = 7.5x
Next, we can divide both sides of the equation by 7.5 to solve for x:
20/7.5 = x
Simplifying the right-hand side:
2.6667 = x
Therefore, the zero of the function f(x) = 7.5x - 20 is x = 2.6667.
To find the zero of a function, you need to determine the value(s) of x for which the function equals zero. In other words, you're looking for the x-values that make f(x) equal to 0.
In the case of the given function f(x) = 7.5x - 20, you can set the equation equal to zero and then solve for x:
7.5x - 20 = 0
To isolate x, you want to get rid of the -20 term on the left side of the equation. To do this, you can add 20 to both sides:
7.5x = 20
Now, to solve for x, you can divide both sides of the equation by 7.5:
x = 20 / 7.5
This simplifies to x = 2.67 (rounded to two decimal places).
Therefore, the zero of the function f(x) = 7.5x - 20 is x = 2.67.