Answer:
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Step-by-step explanation:
Given;
The height function S(t) of the rocket as;
S(t) = -16t2 + 208t
The maximum altitude Smax, will occur at dS/dt = 0
differentiating S(t);
dS/dt = -32t + 208 = 0
-32t +208 = 0
32t = 208
t = 208/32
t = 6.5 seconds.
The maximum altitude Smax is;
Substituting t = 6.5 s
Smax = -16(6.5)^2 + 208(6.5)
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Answer:
slope = -3
Step-by-step explanation:
This equation isthe form: y = mx + c
y= -3x-2
so, m = -3
The linear equation that represents the scenario is 5x + 2.5y = 20
<h3>How to determine the equation?</h3>
The given parameters are:
- Popcorn = $5 per bag
- Candy = $2.5 per bag i.e. half the price of pop corn
Let x represents popcorn and y represents candy.
So, we have:
5x + 2.5y = 20
The intercepts in this case are the maximum number of candy and popcorn Rhonda can buy
See attachment for the graph
Read more about linear functions at:
brainly.com/question/4025726
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By identifying the radius and the center, we concluded that the equation is something like:

<h3>
</h3><h3>
How to write the equation of the circle?</h3>
For a circle centered on the point (a, b) with a radius R, the equation is:

So first we need to identify the center, we can see that it is: (2, 1.5)
And the radius is the distance between the center and the edge.
R = 1.8 (measured with a ruler, respecting the notation of the graph).
Then the equation of the circle is something like:

If you want to learn more about circles:
brainly.com/question/1559324
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Answer:
(-2,4) , (0,5) , (2,6) , (4,7)
Step-by-step explanation:
you just substitute every value of x in the equation and you get y