Answer:
6. Find the product for both sets of polynomials below by multiplying vertically. (4 points: 2 points for each product)
A)
4x^4 - 4x^3 - 16x^2 + 16x
B)
4x^4 - 4x^3 - 16x^2 + 16x
7. Are the two products the same when you multiply them vertically? (1 point)
Yes, the two products are the same when you multiply them.
Making a Decision:
8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)
Emily was right, the products are the same with all three different methods of multiplication.
9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)
I prefer the table method because it is easier to understand what is going on, know where and what to do, and it is nicely and neatly laid out in front of me.
70% of the fish are swordtail fish.
30% of 90 is 27, so there are 27 rainbow fish.
70% of 90 is 63, so there are 63 swordtail fish.
It is very simple to figure this question out. It is a little difficult to explain for me, but I will try as best I can.
90 fish is the most amount of fish allowed in the tank, so that means it's 100% of fish in a tank. Since only 30% of the fish are rainbow, that means the leftover has to be swordtail. So you do the math:
100% - 30% = 70%
Now for this part, you have to figure out how many fish are equal to those percentages. 90 is an easy number in this equation.
Put a decimal at the end of 90
It becomes 90.
90. is the same as 90 so nothing has changed. Now you're going to move the decimal over to the left one time. The number 90 now becomes 9.0, or just 9
We take the 30% and get rid of the zero on the end so it becomes a 3. Now you multiply 9 times 3, which equals 27. So, you have 27 rainbow fish.
Do the same with the 70% as well. Get rid of the zero at the end so it's just 7 and multiply it by 9. 7x9=63
If you want to check your work, you can add 27 + 63, and that equals 90. Since 90 is the most amount of fish you can have in the tank, you know you have the right answer.
I apologize if this was confusing. It took me a while to understand this stuff, but once I got the hang of it, it was very simple. Good luck on your work!
Answer:
1056 ft
Step-by-step explanation:
We need to convert the units from miles per hour to feet per second:
recall that i mile = 5280 ft, and one hour is 3600 seconds, so we do the conversion of the 120 miles per hour speed as follows:
which means that the car cover 176 ft in one second. Therefore, in 6 seconds it will cover 6 times this:
distance = 176 * 6 = 1056 ft
Answer:
77 + n ≥ 100
Step-by-step explanation:
We know that adding two numbers (77 and n) must be equal to or greater than (≥) 100.
So we can write the equation like:
77 + n ≥ 100
Answer:
its 15 to the square root of 2
Step-by-step explanation: