Rafiq is making a fruit punch using 48ounces of grape juice and some seltzer water. he wants to make 10 equal servings that are at least 9 ounces each. should he add 32 or 48 ounces of seltzer water? explain

48 ounces

Step-by-step explanation:

Given : Rafiq is making a fruit punch using 48ounces of grape juice and some seltzer water. He wants to make 10 equal servings that are at least 9 ounces each.

To Find : Should he add 32 or 48 ounces of seltzer water?

Solution:

Since he want to make 10 equal serving

Each serving is atleast 9 ounces

So, 10 servings = 10*9=90 ounces

Since she need to make atleast 90 ounces of serving

And he already had 48 ounces of grape juice for making atleast 90 ounces of serving.

So, he need to add selzer water = 90-48 = 42

So he needs to add atleast 42 ounces of seltzer water

So, from the given options 48 ounces is the correct answer

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.