Unit 5. 12. Please help. What is the minimum number of times Valeria needs to fill (or partially fill) the bucket in order to completely fill her fish tank?

16.2 ,which if 17 times then around 4/5 of the water will remain in the bucket

Step-by-step explanation:

find the volume of the tank using the solid volume formula (lbh)

then divide the volume by the volume of the bucket

I.e. (36x13x24)/963

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.