Answer:
The graph of the function
is attached as image below.
Analysis:
We have two intersection points in the graph
The function
intersects the y-axis at points (0,4)
The function
intersects the x-axis at points (-16,0)
f(x) is positive for x>-`16
f(x) is negative for x<-`16
<span>This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)
(a+1)^2 = a^2 + 7^2
FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49
Combine like terms
a^2 - a^2 + 2a = 49 - 1
2a = 48
a =
<span>a = 24 mi, Juan's distance from home
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In the top right corner is -7x since we multiply the x and -7
In the bottom row, we'll have 5x for the first box and -35 for the second box. Each box is the result of multiplying the outer values.
In the top left corner, the x^2 is from multiplying the two copies of x.
a. At its maximum height, the ball has zero vertical velocity, so


b. The ball's height in the air
at time
is given according to

Solve for
when
:

The minimum number of sides that the polygon at the base of the prism must has 4 sides.
<h3>What is a Polygon?</h3>
This refers to the plane figure in geometry that has three or more sides and angles in a finite straight line.
As we know the minimum number of sides a polygon does the base of the polygon have 4 side.
Now, as the plane intersect a prism parallel to base of the prism so the polygon of 5 sides will form then at least the base of the polygon will have 4 sides.
Learn more about polygons here:
brainly.com/question/1592456
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