Please, use " ^ " to denote exponentiation: p(t) = t^2 + 5t + 6.
To find the critical points, differentiate p(t) with respect to t, set the result = to 0, and then solve the resulting equation for t:
p '(t) = 2t + 5 = 0
Solving for t: 2t = -5, and so t = -5/2. (-5/2, p(-5/2)) is the critical point. That evaluates to (-5/2, -0.25). This happens to be the vertex of a parabola that opens up.
Answer:
The graph is not a line of best fit as there are not an equal number of data points on each side of the line
Step-by-step explanation:
Brainliest would be appreciated
Answer:
8/15 gallons or 0.5333 gallons
Step-by-step explanation:
x = total
0.4 = 0.75x
0.4/0.75 = x
0.533 = x
0.533 = 8/15
Answer:
1. y=3x-2 -> x= (y+2)/3
Step-by-step explanation:
You simply sub-in the m and b, then "reverse" the problem by doing the steps to get from the 2nd, to the first.
If you think about it, a hexagon can be cut into 6 equilateral triangles. Because of this, all you need to do is find the area of one triangle and multiply it by 6. Since the side length of one triangle is 12, we know that is the base. Since the triangles that are created when cutting the equilateral triangle in half are both 30 60 90, the height must be 6(3)^1/3. We can then multiply 12 • 6 radical 3 •1/2 to get 36 radical 3. Multiply this by 6 and get 216 radical 3 units squared.