Solve this equation and show your work! (1 point for the correct answer and 1 point for showing how to solve the equation) x³ = -2,197

Here we are given with a equation:

And we have to solve it with appropriate steps.

So, let's start solving.

Add 2197 to both sides of the equation,

Now, using the identity:

Let's proceed further.

x³ is the cube of x and 2197 is the cube of 13

Now,

So, x = -13

And, for the second let's use the discriminate formula,

➝ D = b² - 4ac

➝ D = (-13)² - 4(1)(13)

➝ D = 169 - 52

➝ D = 117

Now, using the D. formula,

So the roots of the equation are:

And we are done !!

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use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

10 you would take 50/ .2

step-by-step explanation: