A football kicker boots the ball from the 15 yard line to the 35 yard line. The equation can be modeled by the the following: y = - .054(x - h)(x - k).....where h and k are where the football lands (x-intercepts). What was the maximum height that the football reached?

Answers

Answer 1

Answer:

The maximum height that the football reached = 5.4 yards (16.2 feet)

Step-by-step explanation:

The initial location of the ball = 15 yard line

The final location of the ball = 35 yard line

The equation of the ball's motion can be modeled as follows;

y = -0.054·(x - h)·(x - k)

Where;

h and k are the x-intercepts which are the points where the ball lands or where the ball is in contact with the ground

Given that the kicker kicks the ball from the ground on the 15 yard line and the ball lands on the ground at the 35 yard line, we can write

h = 15 yard line

k = 35 yard line

Therefore;

y = -0.054·(x - 15)·(x - 35) = -0.054·x² + 2.7·x-28.35

The maximum height is found by differentiating the function with respect to x and equating the result to 0 as follows;

d(-0.054·x² + 2.7·x-28.35)/dx = 2.7 - 0.108·x = 0

x = 2.7/0.108 = 25

Therefor, at the maximum point, we have;

x = 25

∴ y = -0.054·(25 - 15)·(25 - 35) = -0.054×10×(-10) = 5.4

The maximum height that the football reached = 5.4 yards = 16.2 feet.


Related Questions

what value of x would make AOB a line in the following figure if, angle AOC = 4x & angle BOC = 6x + 30° ? ​

Answers

Answer:

15

Step-by-step explanation:

6x+30+4x=180

10x+30=180

10x=180-30

10x=150

x=15

Multiply the complex numbers (5 − 3i) and (9 + 2i).

Answers

The answer is

51-17i

Explanation :

5x95x2i-3ix9-3ix2i
45+10i-27i-6^2
45+10i-27i-6(-1)
45+10i-27i + 6

What is the correct answer?

Answers

Answer:

C

Step-by-step explanation:

c

C ........................

Write the integer that represents $32 withdraw.​

Answers

Answer: -32

You are taking away from "withdrawal"

Given f(x) = 2x + 5, find x when f(x) = 45

Answers

Step-by-step explanation:

f(x) = 2x + 5 = 45

2x + 5 = 45

2x = 45 - 5

2x = 40

x = 20

Answer:

f(x) = 2x + 5 = 45

2x + 5 = 45

5-25=2x

40=2x

x = 20

Help please! I have to finish this by today.

Answers

14.025, 40/3, square root 170, 14%

Calculator, the end

Answer: Answers

Step-by-step explanation:

The first option

f(x) = sqrt(x^2 + 3) ; g(x) = sqrt(X-2)

Find f(g(x))

Answers

Answer:

F(x) = sqrt(x^2 + 3) ; g(x) = sqrt(X-2)

f(g(x))= √[{√(x-2)²+3}]

         =√[{x-2+3}]

         √(x+1)

Step-by-step explanation:

What is the 7th term of this sequence? 5,15,45,135

Answers

Answer:

The 7th term of the geometric sequence 5, 15, 45, 135... is 3,645. a7 = 5 • 3^(7-1); a7 = 5 • 729; a7 = 3645

Step-by-step explanation:

sorry if it becomes wrong answer

Answer:

3645

Step-by-step explanation:

the sequence has a rule of n*3

5*3=15

15*3=45

45*3=135

135*3=405

405*3=1215

1215*3=3645

What is the domain of the function below? A.{1.5,2,3.5,4,9} B.{.25,.5,1.5,3,4.25}
C. .25< y<4.25
D. 1.5

Answers

Answer:it’s c

Step-by-step explanation:

So um I need help and plz explain it

Answers

Answer
58X+26

Set-by-step-explanation

what is the quotient and the remainder of 3,383 divided by 8?

Answers

Quotient: 422

Remainder: 75

Answer: 422.75

A railroad track follows a straight path from station A to station B. What is the distance traveled by the railroad track from station A to station B before completing its journey until station C? Distance travelled from station A to station C is 3x+4 and from station B to C is 6x-4.

Answers

Answer:

-3x + 8

Step-by-step explanation:

The railroad track moves in a straight path from station A to station B and then from station B to station C.

Let the distance from station A to station C be AC and the distance from station B to station C as BC while the distance from station A to station B be AB the following equation holds:

AC = AB + BC

Given the distance from station A to station C is 3x + 4 and from station B to C is 6x-4, Hence:

AC = 3x + 4 and BC = 6x - 4.

Using the line segment addition postulate:

AC = AB + BC

3x + 4 = AB + (6x - 4)

AB = 3x + 4 - (6x - 4)

AB = 3x + 4 - 6x + 4

AB = 3x - 6x + 4 + 4

AB = -3x + 8

What is the probability of choosing a number from 1 to 10 that is greater than 5 or even?

Answers

Answer:

3/10  or 30%

Step-by-step explanation:

The longest, yet easiest way to do this is to find all possible numbers that fit this scenario

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Even Numbers: 2, 4, 6, 8, 10

Greater Than 5: 5, 6, 7, 8, 9, 10

Now find common numbers in both categories

6,8, and 10

meaning the probability is 3/10 or 30%

If m∠ABD = 70° and m∠CBD = 30°, then m∠ABC = ?

Answers

Answer:

40° or 100°.

Step-by-step explanation:

If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.

angle ABC measures 100 degrees.

To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.

In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.

Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.

Therefore, we can calculate angle ABC as follows:

m ∠ ABC = m ∠ ABD + m ∠ CBD

m ∠ ABC = 70° + 30°

m ∠ ABC = 100 degrees

Thus, angle ABC measures 100 degrees.

Learn more about angle here

https://brainly.com/question/24384938

#SPJ2

Each expression with the appropiate property:​

Answers

Answer:

It is the Commutative property.

Step-by-step explanation:  The word commutative comes from the word "move around" in this case all the numbers did was switch positions. Another example;  2+3=3+2  that is commutative property because the numbers were moved. Much similar to your problem

HELP ASAP!!!!
32 + (12/3)2 * 2-5

Answers

the answer is 75 because 12/3 is 4 times two is 8 so you have 40x2 which is 80-5 which is 75 (according to pemdas)

A family buys b boxes of frozen waffles each containing w waffles. Each week the family eats x waffles. Write an equation in terms b,w,x that represents the number of remaining waffles r, after 2 weeks

Answers

Answer:

r=b(w)-2x

Step-by-step explanation:

were solving for r so that is our end variable

sense we dont know how many boxes there are we just put b in the equation by itself, multiplying it with w since that represent the total number of waffles

b(w)

Ex: they buy 2 boxes and each box contains 24 waffles

b=2 and w=waffles

it then says each week they eat x amount of waffles, meaning its the same number for every week allowing us to multiply it with the number of weeks.

2x

Ex: say the family eats 10 waffles per week week, meaning x=10, well the we just multiply the 10 by the number of weeks

Answer: r = b(w) - 2x

The number of remaining waffles r, after 2 weeks is r=bw-2x.

Given that, a family buys b boxes of frozen waffles each containing w waffles.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The number of remaining waffles r, after 2 weeks.

Number waffles = Number of boxes × Number of waffles in each box

= b × w

= bw

Now, number of waffles left after 2 weeks = 2x

So, equation is r=bw-2x

Therefore, the number of remaining waffles r, after 2 weeks is r=bw-2x.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

x^2 = 64

√x² = √64

x = 8, -8

answer is B

A pool charges a membership fee of $40 for the summer and $1 for each visit. A different pool charges no membership fee but it costs $5 for each visit. How many visits would the two pools cost the same amount? A)40 visits B)10 visits C)5 visits D)they'll never cost the same amount

Answers

Answer:

B) 10 visits

Step-by-step explanation:

Let the number of visits be x.

Pool A cost: 1x + 40 = x + 40

Pool B cost: 5x

Set the two costs equal and solve for x.

x + 40 = 5x

Subtract 5x from both sides. Subtract 40 from both sides.

-4x = -40

Divide both sides by -4.

x = 10

Answer: B) 10 visits

need help 20x = 340

Answers

Answer:

17

Step-by-step explanation:

divide 20 from both sides to get x=17

answer : x= 17

20x17=340

Given the function : f(x) = -3x + 2, what is f (2)?​

Answers

Answer:

-4

Step-by-step explanation:

f(2)=-3x+2

can someone please help

Answers

2 Answers:Choice B) ReflectionChoice F) Quadrant 2

Explanation:

The rule [tex](x,y) \to (-x,y)[/tex] has us flip the sign of the x coordinate from positive to negative (or vice versa). This applies a reflection over the y axis. For example, the point (5,6) moves to (-5,6).

Currently this shape is in quadrant 1. The quadrants start in the top right corner, and you move counterclockwise going to quadrants 2,3, and 4. Quadrant 2 is to the left of quadrant 1, and this is where all of the points end up after applying a reflection over the y axis.

Look at the table showing prices of orange juice.

Prices of Orange Juice
Pint (16 oz)
Quart (32 oz)
Half-Gallon (64 oz)
Gallon (128 oz)
$1.28
$1.92
$4.48
$11.52

Which is the best value for buying orange juice?
pint
quart
half-gallon
gallon

Answers

Answer:

B quart

Step-by-step explanation:

Answer:

the answer will be B quart

Step-by-step explanation:

1) What percentage of 48 is 62?

Answers

Answer:

77.42

Step-by-step explanation:

48/62=77.42

The quotient of x and 4

Answers

Answer:

x/4  

x divided by 4

Write an absolute value expression to represent the distance between -2 and 4 on an number line. Then evaluate the expression.

Answers

Answer:

|-2| + |4|

= 6

Step-by-step explanation:

The absolute value is the distance from zero on the number line, so you would use the expression above to get the answer, 6

Hope this helps!

the answer is 6 if i’m not mistaken

Change the repeating decimal to a fraction:
0.376376376...

Answers

Let x = 0.376376376...

Then 1000x = 376.376376376...

So we have

1000x - x = 376.376376376... - 0.376376376...

999x = 376

x = 376/999

how do you solve 1-(6-3)

Answers

Answer:

-2

Step-by-step explanation:

1-(6-3)

multiply the negative into the bracket so it becomes

= 1-6+3

= -2

What's (2×2)÷2=???????????????????????

Answers

Answer:

2

Step-by-step explanation:

2×2=4

4÷2=2

Answer:

2

Step-by-step explanation:

2 x 2 = 4

4 / 2 = 2

the answer is 2

-0.2(-67+22)=2(7n 3)-8n =?

Answers

70.6 what i got was 70.6753275399
Other Questions
Explain why a golf ball has a higher density than a ping pong ball, even though they are similar in size and shape. X(4)-20=72 what is the missing number If y varies directly as x and y=5 when x=8 find y when x=4 please help asap, and if you can explain why after the answer, please and thank you A rectangular garden is 15 ft longer than it is wide. Its area is 6750 ft 2 . What are its dimensions PLEASE HELP MEA map has a scale of 2 in. = 18 mi. If you measured the distance between two cities tobe 16 in. on the map, how many miles would it actually be? To devise a plan means to come up with a plan. True or False Trey is involved friendly and active in many things. Add commas if they need any Find the Cardinal number of the set of all solutions to x^2=100 The cost for boat rental for 3 days is $254 what would the rental cost be for a week? como / cmo cual / cual cuando / cundo cuanto / cunto donde / dnde que / qu quien / quin what is the difference between the ones with accents and the pnes with out accents? Luke hiked 6 1/4 miles . Joana hiked 2 1/5 times as far .How far did Joana hiked Which of the following is a limit of science? The name Mesopotamia comes from Greek and means between two rivers which are the two rivers referenced in the name There are 25 students' names in a hat You chose 5 names. Three are boys' names and two are girls' names. How many of the 25 names would you expect to be a boys' name. How does diet affect diabetes A crowd of people stood on both sides of the street to view a 4th of July Parade. The length of the parade was 3 miles long and 15 feet deep on each side of the street. If 5 people can fit into a 25 ft^2 area. Estimate the size of the crowd. (1mile = 5280ft) 5. A six sided number cube is tossed onto a table 25 times. The results are shown below.Number on dieNumber of timesrolled out of 251.OWNIIIMINI11What is the theoretical probability of a 5 or 6?_Answer as a fraction. (5 pts)What is the experimental probability 5 or 6?Answer as a fraction. (5 pts) A student is writing about cultural differences on Barrio Boy. which line from the text shows evidence that Ernesto and his family had to adjust to a new system? A) there was little space for anything besides the army cots lined up in two rows B) Mexican centavos and to stones and pesos were good for nothing in the United States. C) it sounded as if generals were in charge of the mail in the United States. D) Now, Ernesto, you are that man of the family, you will take care of you mother until we are together in Sacramento. which is not a rational