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
Jlenok [28]
3 years ago
10

A basketball player shoots a basketball that reaches a height above 15 feet before landing back on the ground exactly after 7 se

conds. Consider the following representations. I. -(x - 3)2 + 16 II. -x2 + 8x - 7 III. -(x - 3)2 + 14 IV. -x2 + 6x + 7 Which of the representations are CORRECT for this scenario?
Mathematics
1 answer:
Papessa [141]3 years ago
3 0

Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 16 = 16 > 15

Also f(7) = - (7 - 3)² + 16 = 0

Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

f(4) = -4² + 8(4) - 7 = 9 < 15   not correct

Also f(7) = - 7² + 8(7) - 7 = 0

Hence this option is not correct since the maximum f(4) = 9 < 15  

iii)  f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x)  = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3)² + 6(3) + 7 = 16 > 15

Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

You might be interested in
How to do it and and explanation
TEA [102]

Answer:

                   

Step-by-step explanation:

5 0
3 years ago
.75 (x +20)=2 +0.5 (x-2)
nalin [4]

Answer:

i need help too

Step-by-step explanation:

7 0
3 years ago
Very easy answer but does any one know what C is
Pavel [41]
Answer: As the number of rides given by the taxi driver increased, the earnings of the taxi driver also increases.
7 0
3 years ago
Read 2 more answers
What is the slope of the table x= 2, 0, -2, -4 y= 6, 1, -4, -9
Murrr4er [49]

Answer:

The slope of the table is m=\frac{5}{2}   or  m=2.5

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the following ordered pairs

(2,6),(0,1),(-2,-4) and (-4,-9)

take two points

(2,6) and (-4,-9)

substitute in the formula

m=\frac{-9-6}{-4-2}

m=\frac{-15}{-6}

simplify

m=\frac{5}{2}

6 0
3 years ago
Hey guys! I’m having a lot of trouble with this paper, would anyone mind explaining one of them to me?
lyudmila [28]

Answer: See Explanation

Step-by-step explanation:

This worksheet seems to be about "Special Right Triangles"

In this worksheet, it instructs you to find the missing side lengths.

Explaining number 1)

Step 1) Identifying the triangle and what it means

Since the triangle in number one is a 45-45-90 triangle with the given side length of "1" on one of the legs of the triangle, it can be concluded that the other leg also has a side length of "1" (due to the ratio of side on a 45-45-90 degree triangle), is also states the triangle has 45 degrees labeled on one of the angles, is can also be concluded that the other missing angle is 45 degrees.

Step 2) Answer

The answer to b is 1 and the answer to a is square root of 2, due to the properties of a 45 45 90 triangle (refer attachment)

*you can also use the following attachment to help you on this problem

7 0
3 years ago
Other questions:
  • (7.06) what function is represented below
    9·1 answer
  • Plz help me I can't do anything and I have to pass this assignment for online School
    5·1 answer
  • Kali has a 20 foot ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 5 feet away from t
    7·1 answer
  • Evaluate 2xy when x=-1/4 and y= 3
    10·1 answer
  • 5x – 3y &gt; 6<br> 3x + 2y 2 4
    15·1 answer
  • Find the ratio of the following 154cm and 5m
    12·1 answer
  • A one celled, aquatic organism called dinoflagellate is 1000 micrometers long.
    14·2 answers
  • Is 7,309,383 divisible by 3
    12·2 answers
  • Write an equation parallel to y = 2x + 4 that passes through the point (4,3)
    15·1 answer
  • Someone pls help asap I really need the answer real quick
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!