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This is kind of a guess and check answer.

The only way this could work is if x y and z equal 3, 0, 0 in some order, or 1, 2, 2. Since 3, 0, 0 isn't very good for the second equation, we'll go with 1, 2, 2. When you plug it in we get 1+4+4=9 for the first equation and 2+4+2=8 for the second equation. So we get the sum is 5

v = (2,0,4) and w = (-3,1,3).

x = -7.

I think the greatest volume will be held by a cube (a square is a rectangle with = sides)

each side (there are 4)      4   x w x w

and the bottom                     w x w              

   total surface area   5 w^2 = 4800

                                         w = depth = ~30.984 ft

volume = 30.984³  =   ......... ft ³

Using only 15 letters in each of the three positions of the initials

15  *  15  * 15 = ..........   combos

First find the equation of the line        slope = 6/-3 = -2

point slope form of the line

  y-5 = -2(x-4)

 y-5 = 8 - 2x

y+2x = 13      divide by 13

y /13  + x / (13/2) = 1

The x coordinate of the  vertex of the standard parabola is the line of symmetry for a parabola

   to find the x value of the vertex   x = - b/2a   (derived from finding the midpoint between the zeroes from using the quadratic equation)

at a rate of 7 fl oz per  ???    . How fast was the pipe leaking in gallons per ????​?

Your question is missing some information....leaking at 7 oz per minute ?  Per hour?

gallons per minute?   gallons per hour?     Hmmmm.......

Which is 9?

(a)^2 or a^2

Hello Guest!

\((a)^2=a^2\\ a=\pm 9\)

  !

The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 7 fl oz per . How fast was the pipe leaking in gallons per ​?

Hello Guest!

\(1gal:1fl=4.54609l:0.028413l\\ 1fl=0.0281413l\cdot 1gal/4.54609l\)

\(1fl=6.22969\cdot 10^{-3}gal\)

A rate of 7 fl oz per is equal to a rate of \(7\cdot 6.22969\cdot 10^{-3}=\color{blue}4.36078\cdot 10^{-2}\)  gal oz per.

  !

What final answer did you get?

Thanks Guys :)

The most important thing to understand here is that

For ANY right prism, the volume is the area of the front face multiplied by how far back it goes.

Volume of prism = Area of front * depth

so in this case

75=10*?

Thanks! Would you mind explaining it, if it's not any trouble? I'm having trouble understanding this 😅

First choice 8 flavors

   x   second choice 8 flavors   = 64 combos

it will be    x = - b/2a    

8 possibilities

ttt

tth

tht

thh

hhh

hht

hth

htt

    How many do you see (out of 8) have at least 2 h's?

This diagram may support my answer. If an explanation is needed, I'm willing to provide it. 

The drawing is not to scale.

Well   x does not equal 10            for       (13.4)⁵ * sqrt(265)  / (12.8 * 54.6)  

  it equals 10063.39

It is the fraph of the cosine function shifted down 1/2 unit

Here is a picture:

https://www.desmos.com/calculator/zsggwzn7w8