Answer:
- g(20) > f(20)
- g(x) exceeds f(x) for any x > 4
Step-by-step explanation:
As with most graphing problems not involving straight lines, it works well to start with a table of values. Pick a few values of x and compute f(x) and g(x) for those values. Plot the points and draw a smooth curve through them.
As in the attached, your table will show that there are two points of intersection between f(x) and g(x), and that for values of x more than 4, g(x) becomes much greater very quickly. Both curves rapidly reach the top of your graph space.
To find whether f(20) or g(20) is greater, you can evaluate the functions for that value of x.
f(20) = 20² = 400
g(20) = 2²⁰ = 1,048,576
Clearly, g(20) has a greater value.
<h3>
<u>Given</u><u> </u><u>:</u></h3>
- Length =
cm. - Breadth =
cm.
<h3>
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u></h3>
The area of rectangle.
<h3>
<u>Solution</u><u> </u><u>:</u></h3>
Area of rectangle = Length × Breadth
<h3>
<u>Area</u><u> </u><u>of</u><u> </u><u>rectangle</u><u> </u><u>is</u><u> </u><u>4</u><u>2</u><u>5</u><u>/</u><u>4</u><u>2</u><u> </u><u>cm</u><u>²</u><u>.</u></h3>
74 degrees, because angle 1 and 8 add up to 73 degrees, so to make 180 you subtract 180-73 degrees, which makes 112 degrees for angle 9. Angle 9 and 12 are supplementary so they should both add up to 180. That means that angle 12 must be 68. Angles 12, 7, and 6 must add up to 180, so 38+68=106. 180-106=74. Therefore, angle 6 is 74 degrees
Since Theoretical probability is the ratio desired outcomes/total outcomes, the theoretical probability would be 41/240
The answer is 100% percent
