The absolute value is the distance between a number and zero. The distance between
−10 and 0 is 10
<h3>hello!</h3>
Let's write this verbal phrase as an inequality.
First of all, let the number be n.
"three times n" can be written like so:-
Now, 18 is greater than 3n:-
Which means 3n is less than 18:-
<h3>note:-</h3>
Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
You are given the equation y = -0.005x^2 + 0.41x - 5.1
with x = the horizontal distance (left/right)
and y = the vertical distance (up/down)
you are trying to find the value of x.
y = 5.1ft. The rock lands on the ground above after being thrown by Landon who is 5.1ft below ground in the hole. So the rock has to be thrown at least 5.1ft to get to the ground above.
Setting y= 5.1, you get
-0.005x^2 + 0.41x - 5.1 = 5.1
move the 5.1 from the right to the left, so you have the equation = 0 and you can solve it like any other quadratic equation.
-0.005x^2 + 0.41x - 10.2 = 0
this requires you to use the quadratic equation but after doing so you find that the values for x are:
and you must take the positive value because distance cannot be negative