A bungee jumper leaps off a cliff 122 meters from the ground. Her cord, when fully stretched, is 72 meters long, and it takes 6 seconds after the jump for it to extend fully. The distance between e jumper and the ground as a function of time can be modeled as a quadratic function. Which equation represents her distance from the ground as a function of time?

Answer:

x = 10.6

Step-by-step explanation:

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(49) = 8/x

x = 8/sin(49)

x = 10.6

Answer:

A

Step-by-step explanation:

x + 9 = 26

x = 17

Answer:

A.17

Step-by-step explanation:

17+9=26

Answer:

1/3x +2/3 = y

Step-by-step explanation:

y= 3x-2

To find the inverse, exchange x and y

x = 3y-2

And solve for y

x+2 = 3y-2+2

x+2 = 3y

Divide by 3

1/3(x+2) = 1/3(3y)

1/3x +2/3 = y

Answer:

A pair of linear functions

Step-by-step explanation:

Given

See comment for options

Required

Which has real numbers as its range and domain

The answer to this is, the linear functions

Take for instance

[tex]f(x) = mx + b[/tex]

The above function is real for all values of x

The inverse is calculated as thus:

[tex]f(x) = mx + b[/tex]

Replace f(x) with y

[tex]y = mx + b[/tex]

Swap y and x

[tex]x = my + b[/tex]

Make y the subject

[tex]my = x - b[/tex]

Divide by m

[tex]y = \frac{x - b}{m}[/tex]

Replace y with the inverse function

[tex]f^{-1}(x) = \frac{x - b}{m}[/tex]

The above function (i.e. the inverse function) is real for all values of x

This is not true for other options

Answer:

 [tex]x_{n} =[/tex] -10 - 3(n-1)

Step-by-step explanation:

The answer is

xn =  -10 - 3(n-1)

Answer:

75%

Step-by-step explanation:

Looking at the plot, we can see that the number 27 represents the minimum value while the number 45 represents the upper quartile

Between the minimum value and the upper quartile, there is 75% of all the values on the plot

So, we can conclude that between the numbers 27 and 45, we have 75% of all the data values present.

Kindly note;

There are five points in a box plot

minimum

lower quartile (0-25%)

Median (0-50%)

Upper quartile (0-75%)

Maximum number (0-100%)

Answer:

C is the Answer

Step-by-step explanation:

fjrbdhcfbd

Answer:

C) Minimum at (3,-7)

Step-by-step explanation:

[tex]y=x^2-6x+2[/tex]

[tex]0=x^2-6x+2[/tex]

[tex]0+7=x^2-6x+2+7[/tex]

[tex]7=x^2-6x+9[/tex]

[tex]7=(x-3)^2[/tex]

[tex]0=(x-3)^2-7[/tex]

[tex]y=(x-3)^2-7[/tex]

Because the parabola opens upward, the vertex is the minimum of the function. Therefore, the vertex is the minimum at (3,-7).

Answer:

Step-by-step explanation:     6  29  7  42

6)  a number x increased by -18

             x + (-18)    

   or       x -  18

7)    x subtracted from its reciprocal

              1/x  - x  

8)   two numbers have the sum of 11, one number is q find the other

             x + q = 11

             x + q - q = 11 - q       q - q = 0

              x + 0  = 11 - q

              x = 11 - q

9)    six is added to 4 times a number equals 42, find the number

      ( I don't know the six steps discussed in class.  This is how I would do it)

             6 + 4x = 42

             6 - 6 + 4x = 42 - 6              isolate the variable,  - 6 from both sides

             0 + 4x = 36                            6 - 6 = 0,  43 - 6 = 36, solve for x

                4x/4 = 36/4                      divide both sides by 4

                  1x  =  36 /4                        4/4 = 1

                  x  =   9                            

Answer:

1/8 of the original sum still remains.

Step-by-step explanation:

If you spend 3/4 of what you have, you have 1/4 left.

Now you spend 1/2 of that 1/4, so basically divide 1/4 by 2. When dividing fractions you can multiply the fraction by the reciprocal of the other fraction.

[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{4}[/tex] * [tex]\frac{1}{2}[/tex]

= 1/8

So I think 1/8 of the original sum still remains.

Hope this helped, please mark brainliest if possible. Have a nice day.

√129 is less than [tex] \frac{95}{8} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us first solve for √129.

➝[tex] \:\sqrt{129} [/tex]

➝[tex]\:11.3578[/tex]

Now,

➝[tex]\: \frac{95}{8} [/tex]

➝[tex]\:11.875[/tex]

Clearly,

➵[tex]\:11.3578 < 11.875[/tex]

➵[tex]\: \sqrt{129} < \frac{95}{8} [/tex]

Hence, √129 is less than [tex] \frac{95}{8}[/tex].

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

let the diagonal be d

using the pythagoras theorem,

[tex]6^{2} + 6^{2} = d^{2}[/tex]

[tex]d=\sqrt{72}[/tex]

which in radical form is

[tex]6\sqrt{2}[/tex]

1) 1 hour and 15 minutes

2) 4:07

3) 30 minutes

4) 8:35

9) 1 hour and 53 minutes

10) 4:17

11) 2 hours and 52 minutes

12) 3:35

13) 9:55

14) 8:10

15) 1 hour and 45 minutes

16) 3:05

17) 6:48

18) 9:45

19) 1 hour and 25 minutes

20) 2 hours and 45 minutes

Brainliest would be appreciated :)

Answer:

Mean = 7

Step-by-step explanation:

Given the following data;

Number of games = 8

Scores = 5, 11, 9, 9, 4, 5, 6, 7

We would sum all the scores together to get a total score.

Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56

Now, to find the mean;

[tex] Mean = \frac {total \; scores}{number \; of \; games} [/tex]

Mean = 56/8

Mean = 7

Answer:

7 is the mean score.

Step-by-step explanation:

Now we have to,

→ find the required mean score.

The given scores are,

→ 5, 11, 9, 9, 4, 5, 6, 7

→ Numbers = 8

Then the mean score will be,

→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8

→ 56/8 = 7

Hence, the mean score is 7.

Answer:

27

Step-by-step explanation:

First find the tax

25 *8%

25*.08

2

Add the tax to the cost of the book

25+2

27

Answer:

simple answer would be 27 dollars

Step-by-step explanation:

the more complicated answer would be:

25 times 0.08 on the calculator (or in your head) would be 2

25 added by 2 would equal 27 dollars

the first one is finding the sales tax total

the second one is subtracting the total cost of the book by the sales tax total to get 27 dollars or the NEW total

Answer:

    1 ± sqrt(17)

 x = ---------------------------

            2

Step-by-step explanation:

x^2 - x - 4 =0

Using the quadratic equation

     -b ± sqrt(b^2 -4ac)

 x = ---------------------------

            2a

Where ax^2 +bx +c  

We know a =1  b = -1  c = -4

     -(-1) ± sqrt((-1)^2 -4(1)(-4))

 x = ---------------------------

            2(1)

     1 ± sqrt(1 +16)

 x = ---------------------------

            2

     1 ± sqrt(17)

 x = ---------------------------

            2

Answer:

6ab + 8a² - 15b - 20a

Step-by-step explanation:

Expand by using FOIL method

4(2a-5) + 3b(2a-5)

4a(2a) + 4a × -5 + 3b × -5

Simplify terms

8a² - 20a + 6ba -15b

6ab + 8a² - 15b - 20a

Answer:

[tex] \frac{6}{6 + AB} = \frac{8}{8 + 10} \\ \\ 6 + AB = \frac{6 \times (8 + 10)}{8} \\ 6 + AB = 13.5 \\ AB = 7.5 [/tex]

Answer:

[tex]{ \tt{2 {x}^{2} + 10x + 8 }} \\ { \tt{ = (x + 1)(x + 4)}}[/tex]

Answer:

A. 2 ( x + 4 )( x + 1 )

Step-by-step explanation:

2x² + 10x + 8

factor out 2 from the equation

2 ( x² + 5 x + 4 )

write 5x as a sum and rewrite the expression

2 ( x² + 4x + x + 4 )

factor out x from the equation

2 ( x ( x + 4 ) + x + 4 )

factor out x + 4 from the equation

2 ( x + 4 ) ( x + 1 )

Step-by-step explanation:

6+ 7•log2 x = 21

7.log2 x = 21-6

7. log2 x = 15

log2 x = 15/7

x = 2^(15/7)

x = 4.416 = 4.42

Answer:

A

Step-by-step explanation:

X(-4, -5) ---> T<0,7> ---> X'(-4+0, -5+7) =>(-4, 2)

L(-5, -2) ---> T<0,7> ---> L' (-5+0, -2+7) =>(-5, 5)

W(-3, -3)--->T<0,7> --->W'(-3+0, -3+7)

=>(-3, 4)

the correct answer is option A

Answer:

Its a

Step-by-step explanation:

Answer:

Letter C)  bh

Step-by-step explanation:

Segment bh is straight across cd and parallel line extend in the same direction but never intersect.

Hope this helps

Answer:

thas multiple matrix bro

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

since the 2 points have y values, line ST is parallel to x axis.

we just need to look for the difference between the two x values of the two points. I.e. 9-4 = 5

Answer:

x=20, y=17, and z=6 or (20,17,6)

Step-by-step explanation:

Hi there!

We're given the system of equations:

2x+z=46

3z=18

2y+z=40

and we need to solve for x, y, and z

first, let's find the value of z, as we have z by itself (no other variables) in 3z=18

divide both sides by z

z=6

the value of z is found :)

now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x

2x+6=46

subtract 6 from both sides

2x=40

divide by 2

x=20

Finally, let's find y

once again, we can substitute z as 6 in the equation 2y+z=40 to find y

2y+6=40

subtract 6 from both sides

2y=34

divide by 2

y=17

so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)

Hope this helps! :)

Answer:

150%

Step-by-step explanation:

divide 6 by 4 then multiply by 100 to get 150%. :)

Answer:

Step-by-step explanation:

C

Answer:

x = [tex]\frac{11}{c}[/tex]

Step-by-step explanation:

Given

cx - 4 = 7 ( add 4 to both sides )

cx = 11 ( isolate x by dividing both sides by c )

x = [tex]\frac{11}{c}[/tex]

Answer: Choice B

x+6y = 29  and  x+3y = 24.5

==============================================

Explanation:

x is the cost of a throw blanket

On top of this cost is the cost to embroider letters on it

Your name has 6 letters so it costs you an extra 6y dollars. Overall, you pay x+6y dollars. It says that your cost is $29

So that's where x+6y = 29 comes from.

-------------

Similarly, your friend also pays x dollars for the blanket itself plus an extra 3y dollars for the 3 letters in their name. Overall, they pay x+3y dollars. We're told they spent $24.50 which is where the equation x+3y = 24.5 comes from.

Answer:

2nd one = x + 6y = 29 , x + 3y = 24.5

Step-by-step explanation:

Have a nice day!