Answer:
1/64x^12
Step-by-step explanation:
Answer:
nonproportional
Step-by-step explanation:
nonproportional is what i think
1) Unit Rate = 26:1
We already know that for every 3 gallons, you can travel 78 miles. Divide 78 by 3 to get 26. The 26 stands for how many miles you can travel on one gallon.
2) Unit Rate = $7.50:1
Since we already know that for every 7 hours, you earn $52.50, divide 52.50 by 7 to get 7.50. The 7.50 represents how much money you earn in 1 hour.
3) Unit Rate = 52:1
Since you can travel 416 miles in 8 hours, divide 416 by 8 to get 52. The 52 represents how many mile you can travel in 1 hour alone.
Here's a little hint too: (If I remember correctly) For unit rates, it's always going to be *any number* to 1. So even if it's a decimal or a negative, the other side of the rate always has to be 1 :)
Answer:
Step-by-step explanation:
The domain of all polynomials is all real numbers. To find the range, let's solve that quadratic for its vertex. We will do this by completing the square. To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out. That gives us:

The second rule is to take half the linear term, square it, and add it to both sides. Our linear term is 2 (from the -2x). Half of 2 is 1, and 1 squared is 1. So we add 1 into the parenthesis on the left. BUT we cannot ignore the 2 sitting out front of the parenthesis. It is a multiplier. That means that we didn't just add in a 1, we added in a 2 * 1 = 2. So we add 2 to the right as well, giving us now:

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form. Completing the square gives us a perfect square binomial on the left.
and on the right we will just add 10 and 2:

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

From this vertex form we can see that the vertex of the parabola sits at (1,-12). This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12. Therefore, the range is R={y|y ≥ -12}