Answer:
7a+5r
Step-by-step explanation:
5a + 1r + 2a + 4r
add like terms
7a+5r
hope that helps
Answer:
The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches
Step-by-step explanation:
We have that:

Let the dimension of the paper be x and y;
Such that:


So:

Substitute 128 for Area

Make x the subject

When 1 inch margin is at top and bottom
The length becomes:


When 2 inch margin is at both sides
The width becomes:


The New Area (A) is then calculated as:

Substitute
for x

Open Brackets

Collect Like Terms



To calculate the smallest possible value of y, we have to apply calculus.
Different A with respect to y

Set

This gives:

Collect Like Terms

Multiply through by 


Divide through by 2

Take square roots of both sides



Recall that:



Recall that the new dimensions are:


So:




To double-check;
Differentiate A'




The above value is:

This means that the calculated values are at minimum.
<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>
Answer:
#1 i think is 2x7 i dont know #2 sry
Step-by-step explanation:
Answer:
x³-2x²-4x+8
Step-by-step explanation:
a1=x+2
a2=x²-4⇒q=a2/a1=x-2
⇒a3=q.a2=(x-2).(x²-4)=x³-2x²-4x+8
Answer: 
Each term is half of the previous one, so the common ratio is 1/2. Then to get from the first term to the nth term, you have to take n - 1 steps, multiplying by 1/2 each time and by 6000 to account for the first term.
i hope this helps! :D