Answer:
Step-by-step explanation:
Let the time flown by the flying carpet be 
. Then, we have that 
.
We multiply both sides of the equation by to get 
.
We subtract 
from both sides to get 
.
We divide both sides of the equation by 
.
We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.
The speed with wind is 
mph.
The speed against wind is 
mph.
The speed in still wind is 
.
Therefore, the answer is 
and we're done!
<span>2 4/9 = 22/9
Area of square = a^2 = (22/9)^2 = 484/81 square inches.
hope that helps</span>
Answer:
a) maximum; the parabola opens downward
b) positive; it must lie above the x-axis
c) x = 1.5
Step-by-step explanation:
The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.
The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When <em>second differences are negative</em>, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the <em>curvature</em> of the function is <em>negatve</em>, and that it <em>opens downward</em>.
__
<h3>a, b.</h3>
If the graph of the parabola opens downward, and it crosses the x-axis, it must have a <em>maximum</em> that is a <em>positive value of y</em>.
__
<h3>c.</h3>
The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:
x = (-2 +5)/2 = 3/2
The x-coordinate of the vertex is x = 1.5.
______
<em>Additional comment</em>
The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.
Take out the constants.
(
3
×
3
)
x
x
(3×3)xx
2 Simplify
3
×
3
3×3 to
9
9.
9
x
x
9xx
3 Use Product Rule:
x
a
x
b
=
x
a
+
b
x
a
x
b
=x
a+b
.
9
x
2
9x
2
Answer:
there are 12
Step-by-step explanation:
24/2 = 12 that means that there are 12 cycles per stand
