Margo participated in a surfing competition. During the competition, the height of the ocean waves increased from two feet to six feet. a. Identify how many times greater the amount of energy carried by the six-foot wave was than the amount of energy caried by the two-foot wave. Explain your reasoning.

Answer:

(-3,5)

Step-by-step explanation:

To solve using substitution, first isolate one variable in one of the given equations. Then, substitute the value you received from that equation for the matching variable in the second equation. Finally, substitute that value back into any of the equations to have both the x and y values.

1) The y in y = x + 8 is already isolated, so let's substitute that value for the y in x + y = 2. Substitute x + 8 for y in x + y = 2, then solve:

[tex]x + y = 2\\x + (x + 8) = 2 \\x + x + 8 = 2\\2x + 8 = 2 \\2x = -6\\x =-3\\[/tex]

Therefore, the x-value of the solution is -3.

2) Substitute the x value back into any of the one equations to find the value. Any choice is fine - in my work, I chose to substitute -3 for the x in y = x + 8:

[tex]y = x + 8 \\y = (-3) + 8\\y = -3 + 8\\y = 5[/tex]

Therefore, the y-value of the solution is 5.

3) Thus, the solution is (-3, 5).  

Answer:

no entiendo im sorry

Step-by-step explanation:

Answer: Los términos semejantes son términos que contienen las mismas variables elevadas a la misma potencia. ... Combinamos términos semejantes para acortar y simplificar expresiones algebraicas, para que podamos trabajar con ellos más fácilmente

Step-by-step explanation:

Answer:

18.97366596101

Step-by-step explanation:

Or In your case none of these answers are correct.

Answer:

3

Step-by-step explanation:

the y intercept is were x=0

Answer:

Yes it is showing a function

Step-by-step explanation:

Answer:

i think c

Step-by-step explanation:

Answer:

700 meters

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Note that [tex]log_{e}[/tex] x = lnx ( natural logarithm)

Using the standard derivatives

[tex]\frac{d}{dx}[/tex] (lnx ) = [tex]\frac{1}{x}[/tex] , [tex]\frac{d}{dx}[/tex] ([tex]log_{a}[/tex] x ) = [tex]\frac{1}{xlna}[/tex]

Using the chain rule

Given y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x))) × g'(x) ← chain rule

(c)

y = [tex]log_{10}[/tex] (x² - 2) then

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{(x^2-2)ln10}[/tex]  × [tex]\frac{d}{dx}[/tex] (x² - 2)

    = [tex]\frac{1}{(x^2-2)ln10}[/tex] × 2x

    = [tex]\frac{2x}{(x^2-2)ln10}[/tex]

(d)

y = ln([tex]\frac{1}{x}[/tex] )

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{\frac{1}{x} }[/tex] × [tex]\frac{d}{dx}[/tex] ([tex]x^{-1}[/tex] )

   = x × - [tex]x^{-2}[/tex]

   = x × [tex]\frac{-1}{x^2}[/tex]

   = - [tex]\frac{1}{x}[/tex]

Answer:

x = 4[tex]\sqrt{3}[/tex]

y = 6

z = 8

Step-by-step explanation:

keep in mind I'm not doing that well with geometry so this might all be wrong lol

x is part of a 30 60 90 triangle.

so x is 4[tex]\sqrt{3}[/tex]

next, this is a right angle triangle so you can follow the a^2 + b^2 = c^2 formula.

4 + 6 = 10

10^2 = 100

100 = a^2 + b^2

y = 6 and z = 8 bc 36 + 64 = 100

Answer:

70 miles

Step-by-step explanation:

You multiply 35 by 2.5

Answer: I believe the answer is 6x.

Answer:

6x

Step-by-step explanation:

the -3x cancels out 3 from the 9x making it 6x :)

Answer:

" The x-coordinato is negative, and the y coordinato is negativo. "

Step-by-step explanation:

Both are in the bottom left quadrant: -x -y

You started here:

And reflected across the ☝ line aka Y

Which means it would now be on the left

Answer:

2 games

Step-by-step explanation:

Given data

The Fun Guys game

charges  annual fee of  $5 plus $5.50 per game

let the number of games be x

and the total charges be y

The expression for the total is

y=5+5.5x---------------1

The Game Bank

charges an annual fee of $11 plus $2.50 per game.

y=11+2.5x---------------2

Equate 1 and 2 above

5+5.5x=11+2.5x

collect like terms

5.5x-2.5x= 11-5

3x= 6

divide both sides  by 3

x= 6/3

x= 2

It will take 2 games

Answer:

AB = 54

Step-by-step explanation:

DE is a midsegment of the triangle and is half of AB , that is

2x + 13 = [tex]\frac{1}{2}[/tex](13x - 37) ← multiply through by 2 to clear the fraction

4x + 26 = 13x - 37 ( subtract 13x from both sides )

- 9x + 26 = - 37 ( subtract 26 from both sides )

- 9x = - 63 ( divide both sides by - 9 )

x = 7

Thus

AB = 13x - 37 = 13(7) - 37 = 91 - 37 = 54

Answer:

9k=18

k=9

Step-by-step explanation:

Answer:

Hope this helps sorry I'm in class right now

Step-by-step explanation:

Answer:

He reflected it over the y-axis

Step-by-step explanation:

If the x coordinate is made a negative, that means it was crossed over the line that determines the y coordinate

Answer:

Rihanna

Step-by-step explanation:

better butt

Answer: I don’t think I could choose either one but if I had to...... Beyoncé.

I say Beyoncé because I like how powerful her voice is and I just love her music and I love her as a person.

Answer:

5x-6

Step-by-step explanation:

The answer fam is..... c) real numbers

Answer:

48 m²

Step-by-step explanation:

Given that:

Height of parallelogram, h = 8 meters

Base length of parallelogram, b = 6 meters

The Area of a parallelogram is given by :

Base * height

8 meters * 6 meters

= 48 m²

Given;

The graph of a line.

To find:

The slope of the line.

Solution:

From the given graph it is clear that the line passes through the points (1,7) and (3,5).

So, the slope of the given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-7}{3-1}[/tex]

[tex]m=\dfrac{-2}{2}[/tex]

[tex]m=-1[/tex]

Slope of the line is -1.

Therefore, the correct option is D.

Answer:

too much to explain

Step-by-step explanation:

Answer:

x=60

Step-by-step explanation:

The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)

[tex]2x=120\\x=60[/tex]

Hope this helps! :)

Answer:

24%

Step-by-step explanation:

Answer:

24%

Step-by-step explanation: