The ratio of cat to dogs is 4 to 7 at the pet palace. If there are a total of 77 cats and dogs, how many of the animals are dogs?

49 Dogs

Step-by-step explanation:

Cats : Dogs

     4 : 7

4C + 7D = 11 CD

= 11 pets

77 / 11 = 7

* 7 = = 28 cats

* 7 = 49 dogs

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.