It is time to get the fish food ready for the marine life rescue missions. Over the last month, Penny's class has collected fish
food in a variety of boxes. In order to ship the food, you are going to help Penny and her classmates. They are going to pack the small cubes of fish food into shipping boxes that are large right rectangular prisms.
Part 2: Find the volume of the shipping box using the total number of fish food cubes.
Step 1: Find the volume of the fish food cube. Remember to include units.
MY MAIN ANSWER IS THIS?
Part 3: Find the volume of the shipping box using a volume formula. Remember to include units.
V = l × w × h = ___ × ___ ×___ = __________
Are your answers for the volume of the shipping box in Parts 2 and 3 equals? Why or why not?
Part 2: Find the volume of the shipping box using the total number of fish food cubes.
Step 1: Find the volume of the fish food cube. Remember to include units.
MY MAIN ANSWER IS THIS?
Part 3: Find the volume of the shipping box using a volume formula. Remember to include units.
V = l × w × h = ___ × ___ ×___ = __________
Are your answers for the volume of the shipping box in Parts 2 and 3 equals? Why or why not?
1 answer:
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Answer:
Step-by-step explanation:
When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:
Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:
Subtract 6 from both sides:
Divide everything by 3:
Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.
-6 and 1 works. Thus:
Find the x using the Zero Product Property:
Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.
So, the first zero is:
Assume that the correct symbol is >. Thus,
Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:
0 is indeed less than six, so our first correct solution is:
For the second one, do the same thing. We have:
Assume that the correct symbol is <. Thus:
Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation
Again, this is correct. Therefore, x<2 is also the correct inequality.
So together, we have:
Together, we can write them as:
(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)