576 I hope this help cause I did this two years ago so I'm a little rusty but I think this is correct
Answer:
4y^{2}+3y
Step-by-step explanation:
First you need to distribute the values.
(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials
You Should get
8y^{2}+6y
Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.
8y^{2}+6y/2
Doing this you will get
4y^{2}+3y
Answer:
140,620,000
Step-by-step explanation:
There are two types of standard form. The one above (given to you) is the normal standard form. However, there is another one. This one would look like:
140,620,000 = 1.4062 x 10^8
Remember that in this standard form, you must move the decimal to just after the first place value, and the amount of moves you made for the decimal is the amount in the power over 10.
~
The next term in this fraction sequence is 1/3.
To find the next term in this sequence, we can start by converting all of the fraction into a common denominator (so we can compare them better). The least common denominator for all of these number is 12. Now we can convert them all to something over 12.
To convert 2/3 to something over 12, we must find what form of one we must multiply 3 (the denominator) by to get 12. 12/3 is 4, so we must multiply by 4/4. This gives us 2/3 = 8/12.
Since 7/12 is already over twelve, we can just leave it alone.
To convert 1/2 to something over 12, we need to find what we have to multiply 2 by to get 12. 12/2 is 6, so now we need to multiply 1/2 by 6/6, which gives us 1/2 = 6/12.
5/12 is already over twelve, so we can just leave it alone.
Now we need to put them back in order. We have:
8/12, 7/12, 6/12, 5/12... Just by looking at them, we can see that the denominators are getting smaller by 1. That means that the next term in the sequence will be less than the previous one by 1/12. What term is less than 5/12 by 1/12? 4/12 is. But, that's not our answer. We can simplify 4/12 to get our answer of 1/3.
