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

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

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

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 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.

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   ....?

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

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:

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

Factorise fully X^2 subtract 2x

Answers

Answer:

x(x-2)

Step-by-step explanation:

X^2-2x

x(x-2)

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

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!

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

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

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.

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

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°

- 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:

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.

pythagoras 12cm + 17cm

Answers

Answer 433=20.81

Step-by-step explanation:

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:

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]

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

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

Answers

1.10983 or 1.11 for short

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:


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

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:

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

What is the perimeter of the regular heptagon below?

Answers

Answer:15.65

Step-by-step explanation:


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...............
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