1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slava [35]
3 years ago
7

The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Gr

aph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 16, 0. The vertex is at 8, 10. Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points) Part B: What is an approximate average rate of change of the graph from x = 8 to x = 13, and what does this rate represent? (4 points)
Mathematics
2 answers:
masha68 [24]3 years ago
6 0

Part A:The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet  

X Intercept=(0,0) it represents the time the ball was not kicked at all  

X intercept=(16,0)  

the feet away from the starting point is 16ft the location or distance the ball is away from the starting point once landed.  

Maximum: is 10  

intervals:it increased(0 to 8) decreased (8 to 16)  

when the ball was 8 ft away from the kicker horizontally, it was 10 feet in the air then it landed an additional 8 feet away from the kicker that was 16 feet away one it landed after going a maximum of 10 feet.  

Part B: m=(y2 - y1) / (x2 - x1)  

(x1, y1) (x2, y2)  

(8,10) (13, 7)  

m = (7-10)/(13-8) = -3/5

siniylev [52]3 years ago
5 0
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or  y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
You might be interested in
Examine the diagram of circle O. Points C, T, and P are on circle O. If m∠COT=146∘ and CT⌢=35.7 units, what is the measure of OT
Elis [28]

Answer:

14 units is the answer :)

Step-by-step explanation:

7 0
3 years ago
Which inequality is shown in the graph
pentagon [3]

Answer:

Less than.

Step-by-step explanation:

3 0
3 years ago
Solve r = 1/2m^2p for p
hoa [83]
You just have to arrange the equation such that the p is the only term at the left hand side of the equation. Express it in terms of r and m. 

r = 1/2*m²*p
Divide both left and right hand side equations by 1/2*m²
p = r/(1/2 *m²)
Take the reciprocal of 1/2 and multiply it. The final answer is:
p = 2r/m²
7 0
4 years ago
HEY YOU! YEAH, YOU! WILLING TO HELP OUT A FELLOW HONORS STUDENT? IF SO, ANSWER THIS. I WILL MARK BRAINLIEST...!
Digiron [165]

Answer:

The answer is (2,1)

Step-by-step explanation:

8 0
3 years ago
Find the area of the equilateral triangle
uranmaximum [27]

Answer:

Step-by-step explanation:

Suppose that the side length is s.  Imagine that one side is level.  Draw a vertical line through the top vertex perpendicular to the base (level side).  Label this vertical line "h."  Then h and s are related as follows:

                               √3          h

sin 60 degrees = ------- = --------

                                 2           s

                                                                   s√3

and so h = the height of the triangle =  -----------

                                                                       2

The area of this triangle is (1/2)(base)(height), which here is:

(1/2)(s/2)( s√3 /2), or

        (s^2)√3

A = ---------------

               8                                

8 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with this
    9·1 answer
  • I do I simplify the expression 14+5(x+3)-7x
    7·2 answers
  • A complete desktop computer costs $965. A replacement monitor costs $238, a replacement hard drive costs $260, a replacement out
    15·2 answers
  • What is the perpendicular slope intercept form?​
    7·1 answer
  • Please help me with the answer
    8·1 answer
  • A clothing store salesperson makes a 5% commission on sales each day. If the salesperson sells $200 worth of clothes, how much d
    11·1 answer
  • Elena has 80 trading cards in her collection. If 15%
    6·1 answer
  • The table below shows a record of three Baloon Pop games.
    14·1 answer
  • Davonte has a yearly gym membership. His yearly
    14·1 answer
  • there are 16 pounds in 1 pond. juan is mailing a package that weighs 96 ounces. he wants to know the weight of the package in po
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!