Answer:
Step-by-step explanation:
I don't know if you are a calculus student, but since calculus is the easiest way to solve this, that's what I used. The position equation is
and the velocity function, the first derivative, is
From Physics, you should know that the velocity of an object is 0 at its highest point. That means that if we sub in a 0 for the velocity and solve for t, we find the time at which the object is at its highest point. That is:
and
By the Zero Product Property,
-12 definitely does not equal 0, so that means that
t - 2 = 0 and
t = 2 seconds.
So at 2 seconds, the object is at its highest point. Go back to the position function now and sub in a 2 for t to find the height of the object at 2 seconds.
so
s(2) = 38 meters
<span>To estimate 586 - 321, you can round the numbers up or down to the nearest five.
586 can either become 570, rounding up, or 585, rounding down, which is closer. 321 becomes 320. It's not close enough to 325, nor to 315, for either of those to be good choices. 570 - 320 = 250 and 585 - 320 = 265. The actual solution to the original problem is 265, so, the second estimate, because they both go down by 1, is the closest.</span>
Answer:
The ribbion she bought is 45 inches long
Step-by-step explanation:
Answer:
Cost per night: 75
Equation: 
Step-by-step explanation:
An equation to represent the situation can be written in the slope-intercept form, 
, where,
m = slope of the graph, which is the rate per night.
b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.
Let's find m, using two points on the line, (2, 200) and (4, 350)
✅The cost per night = 75
y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.
Substitute m = 75, and b = 50 into .
✅The equation would be:
