Answer:5r2+2
Step-by-step explanation:
Distribute the Negative Sign:
=4r2−3r+2+−1(−r2−3r)
=4r2+−3r+2+−1(−r2)+−1(−3r)
=4r2+−3r+2+r2+3r
Combine Like Terms:
=4r2+−3r+2+r2+3r
=(4r2+r2)+(−3r+3r)+(2)
=5r2+2
A = 15 a = athena, s = samantha, b = bonus points
s = b + a
s = b + 15
Let g be the number of grandchildren, and d be the number of dogs. They both have only one head, so the number of heads is

Grandchildren have 2 legs, while dogs have 4. So, the total number of legs is

From the first equation (the one for the heads) we can derive

Substitute this into the second to get

So, there are 9 dogs and (from the first equation

Answer: 10 ornaments
Step-by-step explanation:
From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.
The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:
= 2 1/2 ÷ 1/4
= 5/2 ÷ 1/4
= 5/2 × 4/1
= 10
They can make 10 ornaments

Therefore, the answer is 1) y = 2x - 6