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
lisabon 2012 [21]
2 years ago
10

The height of an object after it is released can be modeled by the function f (x) = negative 16 t squared v t s, where t is the

number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?
Mathematics
1 answer:
kodGreya [7K]2 years ago
5 0

The amount of time his teammate have to catch the ball is equal to 1.774 seconds.

<u>Given the following function:</u>

  • f(x) = -16t² + vt + s.
  • Displacement, s = 6ft.
  • Velocity, v = 25 ft/s.

<h3>How to calculate the amount of time?</h3>

In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:

f(t) = -16t² + 25t + 6.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c =0

Where:

a = -16.

b = 25.

c = 6.

Solving the function by using the quadratic formula, we have:

t = [-b ± √(b² - 4ac)]/2a

t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)

t = [25/32 ± (-1/32)√1009]

t = 25/32 ± (-0.993)

t = 0.781 ± 0.993

t = 0.781 + 0.993

Time, t = 1.774 seconds.

Note: We ignored the negative value because time cannot be negative.

Read more on quadratic equation here: brainly.com/question/1214333

You might be interested in
Y=2x-10 substitution <br> Y=4x
Arada [10]
X=5
 Work:

y=2x-10
4x=2x-10
2x=10, then divide 2x on each side
x=5
4 0
3 years ago
Jacob and Ayden work at a dry cleaners ironing shirts. Jacob can iron 25 shirts per hour, Ayden can iron 35 shirts per hour. Ayd
Anestetic [448]

Answer:

jacob ironed 100 shirts

ayden ironed 280 shirts

Step-by-step explanation:

jacob ironed for 4 hours and ayden for 8 hours

5 0
3 years ago
Which ordered pair is the solution to the system of equations? {y=3x−102x+3y=3
uysha [10]
(3,-1) for sure i took the test 100% 
hope i helped out 
8 0
3 years ago
(1Q) Describe how to transform the graph of g(x) = lnx into the graph of f(x)= ln(x-4)+3?
xxMikexx [17]

Answer:

B

Step-by-step explanation:

The correct answer is to go 4 units right (the direction is opposite to the sign) and 3 units up. The up and down direction is the same number as after the function.

Red: Parent Function y = ln(x)

Blue: 4 units right. 3 units up.

Answer: B

6 0
3 years ago
Branliest offered
Veseljchak [2.6K]
1/9
2
1 4/5
3 1/2

There's your answer.
8 0
3 years ago
Other questions:
  • The cost for a company to manufacture x bracelets can be represented by the function C(x). Complete the sentence below using the
    10·2 answers
  • Factoring the expression 15x+6 using GCF
    13·1 answer
  • There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?
    11·2 answers
  • Mary predicts that the store will see 4,238 customers next week. Approximately how many high school students should the
    13·1 answer
  • What are some equivalent fractions for 4/8
    5·2 answers
  • For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?
    10·2 answers
  • Suppose you have 8 dice in a bag. You draw a single die and roll it. Three dice are standard fair dice, numbered 1-6 Two dice ar
    6·1 answer
  • Help me please!!!<br> Sad face sad sad sad please helpppp
    10·1 answer
  • PLEASE HELLLLLP ME!!!!!!<br> Write the inequality for five times b plus 3 is at most 10
    9·2 answers
  • Assessment started: undefined.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!