Mathematics High School

The path of a diver diving off a 10-foot platform can be represented by the function h(x) = - 0.5(x^2 - 4x - 21) where h is the diver's height above water and x is the horizontal distance from the platform (in feet).

What does the positive zero represent?

Answers

Answer 1

Answer:

x = -3 and 7

Step-by-step explanation:

Given the path of a diver expressed as;

h(x) = - 0.5(x^2 - 4x - 21)

The positive zero occur at when h(x) = 0

Substitue

0  = - 0.5(x^2 - 4x - 21)

-0.5x^2 + 2x + 10.5 = 0

Multiply through by -10

5x^2 - 20x - 105 = 0

x^2 - 4x - 21 = 0

x^2 - 7x+3x - 21 = 0

x(x-7)+3(x-7) = 0

(x+3)(x-7) = 0

x = -3 and 7

Hence the positive zero displacement occurs at x = -3 and 7

Related Questions

[tex]\sqrt[47][134}[/tex]

Answers

1.10983 or 1.11 for short


What is the common ratio of 9, 81, 729. -6561

Answers

Given:

Consider the given sequence is 9, 81, 729, 6561.

To find:

The common ratio.

Solution:

We have,

9, 81, 729, 6561

Here,

First term = 9

Second term = 81

Divide the second term by first term to get the common ratio.

[tex]r=\dfrac{81}{9}[/tex]

[tex]r=9[/tex]

Similarly,

[tex]\dfrac{81}{9}=\dfrac{729}{81}=\dfrac{6561}{729}=9=r[/tex]

Therefore, the common ratio is 9.

Two ordered pairs that would form a direct variation

Answers

Answer: Yes, it is a direct variation. If the ordered pairs form a direct variation, the rate of change is constant and the ratio of y over x is constant.

Step-by-step explanation:

Twenty people attended a going away party for Zach.The guest left in groups of 2.By 9:00,x groups had left.Rewrite the number of guests remaining at 9:00 as a sum.

Answers

Answer:

The number of guests remaining at 9:00 is;

(20-2x)

Step-by-step explanation:

From the question, we are told that x groups have left

Since they are leaving in groups of 2, x groups means a total of x * 2 = 2x

So we have 2x left out of a total 20; the people remaining at the party will be;

20-2x

Classify the quadrilateral then find the values of the variable (s) PLS HELPPP

Answers

Answer:

x = 58°, y = 32°

Step-by-step explanation:

all sides are equal, hence it is a rhombus.

in a rhombus, diagonals meet at 90degree..

hence in triangle,

58 + 90 + z = 180 (asp of a triangle.)

z = 32

y = z ( alternate interior angles as lines are parallel in rhombus)

y = 32

in the bigger triangle,

angles opposite to equal sides are equal, hence,

32 + 32 + (58 + x) = 180 ( angle sum property of a triangle,)

hence, x = 58

therefore,

x = 58°, y = 32°

What is the perimeter of the regular heptagon below?

Answers

Answer:15.65

Step-by-step explanation:

pythagoras 12cm + 17cm

Answers

Answer 433=20.81

Step-by-step explanation:

If 20 is 40% of a value,what is that value

Answers

Answer:

50, 20 is 40 %

to get from 40 % to 100% you multiply by 2.5

20 times 2.5 is 50

50 is 100%

Step-by-step explanation:

hope this helps have a good day :) ❤

What is the distance from (6,0) to (8,0)?

Answers

Answer:

The distance should be 10 I believe

3. *
2 points
Jessica bought seven boxes. A week later
half of all her boxes were lost during a
move. There are now only 13 boxes left.
With how many did she start?

Answers

Answer:

19 boxes

Step-by-step explanation:

i need help with this problem -2.75 minus 72.9 plus .09 what does it equal

Answers

Answer:

-75.56

Step-by-step explanation:

If you subtract -2.75 from 72.9 you will get 75.65 and if you add up 75.65 + .09 you will get -75.56.

Your welcome!

look at screenshot and answer question

Answers

Answer:

24x+32

Step-by-step explanation:

=(3x+4)(8)

=(3x)(8)+(4)(8)

=24x+32

i think it’s 24x+32, hope it helped

Find the median of the data in the box plot
below.
cookies
Number of cookies eaten
by each contestant
H
HHH
HHHH
2 4 6 8 10 12 14 16 18 20 22 24 26 2830

Answers

Please show a picture so I can help.

Answer:8

Step-by-step explanation:

Khan academy answer

Find the approximate perimeter of pentagon ABCDE plotted below.
A(-6,5)
B(-2,5)
C(6,0)
D(2,-4)
E(-6,1)

Answers

Answer: 32.5

Step-by-step explanation:

This is the answer on Khan Acadamy

Answer: 32.5

Step-by-step explanation: Khan Academy

Factorise fully X^2 subtract 2x

Answers

Answer:

x(x-2)

Step-by-step explanation:

X^2-2x

x(x-2)

7 How long is it:
a) from 18:00 until 0945 the next day?
b) from 07:30 until 01 45 the next day?
c) from 18:50 until 09 20 the next day?
d) from 08 10 until 00 35 the next day?
​

Answers

The answer is b
Hope this helps

Karen spent $17.59 on supplies that she is going to use to make jewelry. How much would she spend if her money was rounded to the nearest dollar? Remember, this is a money problem. Don't forget to use the proper symbols.

Answers

Answer:

$18.00

Step-by-step explanation:

Answer: 18$

Step-by-step explanation:

17.59 is the current amount if you round to the nearest dollar the .5 will make the 7 go up in value meaning it will turn into a 8

Find the quotient.
(12x2 - 10x-12) = (3x + 2)

Answers

24- -2x=5x that should be it just add each one and what ever you get for those 2 add or subtract

- Question 11
Mrs. Pitoya has 30 apples and is buying more apples in crates containing 20 apples each. She needs 130 apples for a harvest celebration at her school,
Which equation and solution correctly represent x, the number of crates of apples Mrs. Pitoya needs to buy?

Answers

Answer:

Mrs pitoya has to buy 9 crates of apples

Answer: She only needs to buy 5 more crates of apples.

30 + 20(x) = 130

30-30+20(x)=130-30

20x = 100

x = 5

Step-by-step explanation:

5 divided by 7/8 as a fraction
Pls help 44 points

Answers

Answer:

5.714 (rounded to the nearest thousandth)

Step-by-step explanation:


Expand and simplify (x + 5)(x + 4)
​

Answers

Answer:

(x+5)⋅(x+4)= x2+9x+20

Step-by-step explanation:

(x+5)(x+4)

=x

2

+4x+5x+20=

=x

2

+9x+20

Step-by-step explanation:

(x+5)(x+4)

x(x+4)+5(x+4)

x(x+4)+5(x+4)

x2 +4x+5(x+4)

x2+4x+5(x+4)

x2+4x+5x+20

x2+4x+5x+20

x2+9x+20

solution

x2+9x+20

Does anyone know???? (im writing this to get to 20 letters)

Answers

Answer:

x > 17

Step-by-step explanation:

Given equation:

2(x - 6) + 7 > 3x - 4(x + 8)

2x - 12 + 7 > 3x - 4x + 32 ^ Distributive Property

2x - 19 > -1x + 32 ^ Combine like-terms

3x - 19 > 32

3x > 51

x > 17

GRAPH:

17

O-------------------->

X is anywhere after O


There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
6 over 7 as a fraction.
There are 30 red marbles in the bag and each is equally likely to be chosen.
Work out how many marbles in total there must be.

Answers

65 marbles...............

The average diameter of red blood cell is 0.000007m. Write this measurement in scientific notation.

Answers

Answer:

Step-by-step explanation:

7 x 10^-6 You're basically just moving the decimal place over six times until there is a whole number before the decimal.

80^2 - 45^2 = a^2 - b^2

ans pls in working, thnx in advance

Answers

Answer:

[tex]{a}^{2} - {b}^{2}= {(80)}^{2} -{(45)}^{2} \\(a + b)(a - b) = (80 + 45)(80 - 45) \\ = 125 \times 35 = \boxed{ 4375}✓[/tex]

4375 is the right answer.

What is the side length of a square with the area of 20cm2

Answers

Answer:

S = a² => 20 = a² => a = √20 ≈ 4.5 cm

Step-by-step explanation:

PPPLEEASSSEREE
Add. What is the sum (2 x 10") + (7 x 101 ) in scientific notation?

Answers

Answer:

Simplify the expression? Is it:   2 x 10 '' + 707 x   ....?

Which expression below is equivalent to -3x + 5(x+2)?a. 2x + 10
b. -8x + 10
c. 2x + 2
d. -x+2

Answers

The correct answer would be A. 2x + 10. :)

Explanation:
-3x + 5(x + 2)
-3x + 5x + 10
2x + 10

What is the missing value:

[tex]\frac{16}{1}[/tex] =[tex]\frac{x}{2 \frac{1}{2} }[/tex]

Answers

Answer:

[tex] x = 40 [/tex]

Step-by-step explanation:

[tex] \dfrac{16}{1} = \dfrac{x}{2 \frac{1}{2}} [/tex]

Convert the mixed numeral into a fraction.

[tex] \dfrac{16}{1} = \dfrac{x}{\frac{5}{2}} [/tex]

Multiply both sides by 5/2.

[tex] \dfrac{5}{2} \times \dfrac{16}{1} = x [/tex]

[tex] x = \dfrac{80}{2} [/tex]

[tex] x = 40 [/tex]

Need help ASAP
Thanks+ BRAINLIST only for correct answers

Answers

i am 90% sure it is answer b

I'm sure it's scatter plot b

Other Questions
Which two sentences contribute to the overall eerie mood of the adapted excerpt from "The Fall of the House of Usher" by Edgar Allan Poe? Could my cell phone kill me? It seems unlikely Middle school students were asked how they got to school each morning. There were 120 students who saidthey walked to school. This number represents 30% of the school enrollment. How many students areenrolled? Figure out the relationship between these two words: Advocate and Oppose and choose which of the listed words with similar relationshipsa. rush : hurryb predict : knowc debate: wind contradict; agree with What is the y-intercept of the line y 14 = 6(x 2.5)? Why were the war games conducted? Check all that apply. 1 to identify the US Armys best leaders2 to test the US Armys newest dive bombers3 to gain experience planning and perfecting tank warfare4 to practice battlefield supply procedures5 to prepare soldiers to take part in the Blitzkrieg6 to prepare for a possible attack on Pearl Harbor which is a central idea of searching for the titanic Choose all the comparisons that are true.A. 3.63 > 3.91B. 3.63 < 3.91C. 2.90 > 2.09D. 2.90 < 2.09E. 2.51 < 2.15F. 2.51 > 2.15 Which statements best describe characteristics of an allegory? Choose all that apply.teaches a lessondescribes how to complete a taskuses facts to provide informationcomments on political, religious, and social issuescan be analyzed to reveal an implicit meaningdescribes historical events accurately using referencesuses characters to represent real people or abstract ideas How did trade most directly affect technology in ancient India? PLEASE HELP THIS IS HALF MY GRADE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A tree fell and blocked traffic. It fell onto the road How heavy is a 225 meter cable if a 3 meter section weighs 1.3 kg? GRADE 5 SCIENCE MYA-2020-2021Testosters are testing the choict of light on a radiometer Team 1 finds that blue light makes the radiometer spin slower when a blue light is 35 centimeters (cm) away. To validate Team 1's test results, how mustText with and that is 20 cm awayTest what that is 45 cm awayTest with a green light that is 40 cm awayTest with the light that is 35 cm away The beakers in the picture above are labeled according to the ionic solutions they contain. What metal or metals could replace copper in the copper(II) nitrate solution? which rectangular prism has a volume of 48 cubic feet? Heyy everyone!! i wanted to share an important message with all of you...Jesus is coming soon!!!spread his word, REPENT, and work on your salvation ima pray real quick..Dear lord, i ask that you may protect to who is reading this i ask that you lead them in your path i ask that you bless them and show them your love. Lord i ask that you may help them with any situations they might have and if they are sad, mad, or having bad thoughts living in sin please help them God.. in the name of Jesus amen!!!remember, no one knows when he's coming nor day nor time nor anything that's why we need to prepare because he is coming soon you never know we could be living the last biblical days!! Share this spread the word Amen :) Joshua saves 12 a week in a saving account. How much will he save in one year? Find the degree of this polynomial: ?5x8 8x4 + 4 Read the excerpt from "The New Colossus;""Give me your tired, your poor,Your huddled masses yearning to breathe free,The wretched refuse of your teeming shore."What meaning does the word "teeming" have in the passage?LargeCrowdedBeautifulEmply In 2008, more than one million American students gave nearly 20 million service hours to their communities. They made a difference in peoples lives and learned some important life lessons in the process. Organizations, including schools, are actively promoting service for all citizens as a way to be involved, help others, and improve themselves. Service is helping other people and being active in your community. For example, one group of teens planted a community garden with their friends. They grow a variety of vegetables. The garden requires regular care. The teens donate the produce to a local soup kitchen. Workers there use the produce to help feed people in the community. By tending the garden and donating their produce, the teens are actively helping make life a bit better for others in their community. Service is valuable in ways that cannot be measured in dollars. People volunteer or serve others without expecting money or gifts in return. Service is not about earning money. It is not just collecting money to give to a group. It is about action and contributing to the common good. The people who serve as well as those who receive help benefit in many ways that are more important than money or gifts. For example, a soup kitchen provides essential food to people who may otherwise go hungry. The soup kitchen is extremely valuable for those struggling to get enough to eat. Those serving learn about compassion and how helping others can improve life for all. Millions of Americans are making society better for themselves and for others. They are participating citizens in their community, raising up those who are less fortunate. In return, they become better people who can understand the perspectives and needs of others, which are invaluable and important qualities of good citizens.What is the main idea of this article excerpt?Service means helping others in the community. Service benefits the helpers and those helped.Service is valuable because it is done for free.Service requires help with food production