Use the linear equation “slope of a line” to find the slopes of the given points. m= y2-y1/x2-x1
Answer:
y = -2x + 3
Step-by-step explanation:
The given equation is:

First we need to find the slope of the tangent line. This can be done by finding the derivative of the given function.

Slope of the tangent will be the value of the derivative at the given point. So the slope of tangent is:

Now we have slope of the tangent line and a point (0, 3) on the tangent. The point (0,3) is the y-intercept of the tangent line. So we can use slope-intercept form to directly write the equation of the line.
The slope intercept form of an equation is:
y = mx + c
where m is the slope and c is the y-intercept.
Using the values: m = -2 and c = 3, we get:
y = -2x + 3
This equation represents the tangent line
Answer:
of a sheet of paper
Step-by-step explanation:
Hi!
This isn't the easiest to explain with numbers but I'll do it with an example instead.
If you had 60 cookies and had to split it equally with you and one of your other friends, how would you do it?
You would do
, right? Because you have 60 cookies and you're dividing it amongst 2 people.
It's the same idea here!
We take the number of sheets of paper, and we divide it by the number of people we have to share it with.
so we do
. You don't even have to simplify in this case because this is a fraction and this is the simplest form of this fraction as well
I hope this made sense, let me know if you have any questions
6000x = 135000; x ≈ 23.
We are required to have one fire extinguisher for every 6000 ft of space in the building; this means we need to find out how many 6000-ft spaces we have in 135000.
Solving this equation, we divide both sides by 6000:
6000x/6000 = 135000/6000 = 22.5 ≈ 23