Given:
The graph of a line.
To find:
The equation of line and values of m and b. Check whether it is proportional or linear.
Solution:
From the given graph it is clear that, the line passes through (0,4) and (2,0). So, the equation of line is
Adding 4 on both sides, we get
On comparing this equation with slope intercept form, i.e., , we get
All lines are linear. If a line passes through the origin then it is proportional.
From the given graph it is clear that the line is not passing through the origin, i.e., (0,0). So, it is linear not proportional.
Therefore, the value of m is -2 and the value of b is 4. The equation of line is . The line linear not proportional because it does not passing through the origin.
-3v+24 would be your answer
The equation models the height, H, for n bounces, will be H = 920 (0.56)ⁿ.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 ± r) ˣ
Where n is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
Some students performed an experiment in which they dropped a rubber ball from a height of 920 centimeters.
They noticed that after each bounce, it reached 56% of its previous height.
Then the equation models the height, H, for n bounces will be
H = 920 (0.56)ⁿ
More about the exponent link is given below.
brainly.com/question/5497425
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Dr Hong prescribed the most, and Dr Evan prescribed the least
Answer:1)vertice 2) interesecting
Step-by-step explanation: