First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.
let me know if you have any questions!!!
Answer:
See below
Step-by-step explanation:
<u>Given points:</u>
<u>Let's calculate it's equation:</u>
- y = mx +b
- m = (4 + 11)/(6 +3) = 15/9 = 5/3
- y = 5/3x + b
- -11 = 5/3*(-3) + b ⇒ b = -11 + 5 = -6
- y = 5/3x - 6
<u>The given line:</u>
Compared, the lines have different slope (5/3 vs 32) but same y- intercept (-6), so both pass through the point of (0, -6). y= 32x - 6 has greater rate of change.
True because it is 19 out of 100. If it were 19% and 19-50 that would be false because the answer to that one would be 9.5. So the answer is true.
Answer:
x^3+4x^2+5x+2
Step-by-step explanation:
6y + 12 = 3y - 3
Subtract 3y on both sides
3y + 12 = -3
Subtract 12 on both sides
3y = -15
Divide by 3 on both sides
y = -5
