If you divided 48 objects into sets of 7, how many sets of 7 could you make, and how many are left over?

6

Step-by-step explanation:

No. objects in one set = 7

Let there be n set

Then, No. objects in n set = 7*n = 7n

Given that total  no of objects are 48

Thus,

7n = 48

n = 48/7 = (42+6)/7 = 42/7 + 6/7 = 6 + 6/7

n = 6 + 6/7

Thus, there will be 6 set which has 7 objects. fraction means one set is fraction 6/7 but set cannot be in fraction hence negating it.

Now, total objects in 6 sets = 6*7 = 42.

No. of objects left = 48 - 6 = 6

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.