Step 1: Find the slope
Every 3 magnets that you buy, you need to pay 1 more dollar. Therefore, if you have 9 magnets, the cost will be 3 dollars. Also, if you have 6 magnets, the cost will be 2 dollars. Finally, if you have 3 magnets, the cost will be 1 dollar. So... the correct options are Options B, E, F
Answer options: B,E,F
Answer:
1. 55.271 inches/lb
2. 3.075 inches/lb
3. The denser one is the pine, so it would be heavier.
Step-by-step explanation:
1. density of the pine log (which is a cylinder)
We need the weight/mass and the volume.
V(cylinder) = πr^2 * height
= πr^2 = π(5^2) = 25π = 78.54
= 78.54 * 30 = <u>2356 cubic inches</u>
The weight is 42.63.
Density = mass/volume = 2356/42.63 = <u>55.271 inches/lb</u>
2. density of the oak board (which is a rectangular prism)
We need the weight/mass and the volume.
V(prism) = l*w*h
= 5.5*1.5*3 = <u>24.75 cubic inches</u>
The weight is 8.05.
Density = mass/volume = 24.75/8.05 = <u>3.075 inches/lb</u>
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3. Picture a box made out of stone and a box made out of cardboard. Same dimensions, but the stone one would be way heavier because stone is denser.
we know that
If the only factors a polynomial are 
and itself, then that polynomial is prime.
so
If the polynomial has at least one root (one x-intercept) then the polynomial is not prime
Using a graph tool
<u>case 1) </u>
see the attached figure N 1
The polynomial has one root-------> the polynomial is not prime
<u>case 2) </u>
see the attached figure N 2
The polynomial has three roots-------> the polynomial is not prime
<u>case 3) </u>
see the attached figure N 3
The polynomial has zero roots-------> the polynomial is prime
<u>case 4)</u>
see the attached figure N 4
The polynomial has two roots-------> the polynomial is not prime
therefore
<u>the answer is</u>
------> is prime
