The answer is B: <span> a^12/b^6
Proof:
Simplify the following:
(a^4/b^2)^3
Multiply each exponent in a^4/b^2 by 3:
(a^(3×4))/((b^2)^3)
3×4 = 12:
a^12/(b^2)^3
Multiply exponents. (b^2)^3 = b^(2×3):
a^12/b^(2×3)
2×3 = 6:
Answer: a^12/b^6</span>
Answer:
The width is 5 and the length is 11
Step-by-step explanation:
The formula for perimeter is
P = 2(l+w)
We know the perimeter is 32
32 = 2 (l+w)
Divide each side by 2
32/2 = 2(l+w)
16 = l+w
We know the length is 6 longer than the width
l = w+6
16 = w+6+w
Combine like terms
16 = 2w+6
Subtract 6 from each side
16-6 = 2w+6-6
10 = 2w
Divide by 2
10/2 = 2w/2
5 =w
The length is
l = w+6
5+6 = 11
For the given parabola, the axis of symmetry is x = 2.
<h3>
How to get the axis of symmetry?</h3>
For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.
For a regular parabola, we define the axis of symmetry as:
x = h
Where h is the x-component of the vertex.
Remember that for the general parabola:
y = a*x^2 + b*x + c
The x-value of the vertex is:
h = -b/(2a)
Then for the function:
f(x)=−2x²+8x−2
We get:
h = -8/(2*-2) = 2
Then the axis of symmetry is x = 2.
If you want to learn more about parabolas, you can read:
brainly.com/question/1480401
Step-by-step explanation:
B: The x axis is the horizontal one. If we look at the graph, there are actually two spots where the line crosses the x axis. It looks to be between -2 and -1 as well as 1 and 2
D: For vertical parabolas such as this, the axis of symmetry is the x coordinate of the vertex. The vertex is essentially the middle point, that, for this graph, is at the bottom. The axis of symmetry is x=0 as that is the x coordinate of the vertex.
E: f(x), in 2D graphs, is typically y, as is the case here. As this parabola opens upward, the minimum point is the vertex, which seems to be -3 for this graph. As the graph seems to be x²-3 or something like that, there is nothing limiting x from being infinity, and when x is equal to infinity in this function, y is as well. Thus, the maximum is infinity.
