Answer:
<u>A. Vertex: (1, -8); x-intercepts: -1 and 3</u>
Step-by-step explanation:
The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.
So the point where it scoops up is (1, -18)
The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.
The places where it touches the x-axis is -1 and 3
Pi. I don't know what the square root is doing there because it has no number under it.
Answer:
1. $624.86
2. 1.99x
3. 2.6 pounds
Step-by-step explanation:
1. Multiply 1.99 by 314 to get 624.86
2. With the equation 1.99x, you can substitute any variable into it and it will hold true.
3. Divide 5.17 by 1.99, the price, and you get 2.597 pounds, which rounds to 2.6
<span>First we find the critical points by taking the first derivative and setting it equal to zero. So y'=27x^2-27=27(x^2-1)=27(x+1)(x-1)=0. The critical points are x=-1 and x=1. But we have a closed interval here and x=-1 is not in that interval. We must check the values of the endpoints and x=1, the critical point.
We substitute those back into the original and get
y(0)=9, y(1)=9-27+9=-9 and y(3)=9(3)^3-27*3+9=171.
When it asks for values, it is asking for y values.
The absolute minimum is -9 and the absolute maximum value is 171.</span>
