Answer:
Step-by-step explanation:
<u>Q1</u>
⇒ Graph A is most accurate as the situation is linear and the dots indicate per cup as you can't have any rational part (such as 0.5 cups, etc.)
<u>Q2</u>
⇒ A
⇒ The graph is discrete because the sellers have limited the purchaser to buy a distinct whole number of cups
Parabolas like have the y-axis as their symmetry axis, so options B and D are surely wrong.
Moreover, parabolas like have the x-axis as their symmetry axis. If
the parabola is concave rightwards, if
the parabola is concave leftwards.
Since your parabola is concave leftwards, the only feasible option is
Hi there!
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I believe your answer is:
C) x = 16
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Here’s why:
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Hope this helps you. I apologize if it’s incorrect.
An object that is in motion as a projectile follows a path or trajectory of a parabola
The function and values are;
<u />
Reason:
a) Known parameters are;
Let f(x) = a·x² + b·x + c represent the equation of the parabola modelling the path of the ball, we have;
Points on the path of the parabola = (0, 0), (35, 1.5), 37, 0)
Plugging the values gives;
0 = a·0² + b·0 + c
Therefore, c = 0
1.5 = 35²·a + 35·b
0 = 37²·a + 37·b
Solving gives;
a = -3/140, b = 111/140
The equation of the quadratic function is therefore;
b) The maximum height is given by the vertex of the parabola
The x-coordinate at the vertex is the point
Which gives;
The maximum height is therefore;
The maximum height of the ball is approximately 7.334 m
c) The distance the ball has travelled to horizontally is given by half of the range, <em>R</em> as follows;
The range of the motion, R = 37 meters
Therefore;
The distance the ball has travelled horizontally to reach the maximum height horizontally <u>18.5 meters</u>
Learn more about the trajectory of a projectile here: