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.
A- 53
B- 53
C- 127
D- 54
E- E+20
F- 59
Caras hourly wage is $10.08 after 3 years
Step-by-step explanation:
4% of 9
0.04 x 9 = 0.36
then you multiply 0.36 by 3 because you are solving for 3 years.
0.36 x 3 = 1.08
then you add 1.08 to 9 because Cara's wage goes up $1.08 in 3 years
1.08 + 9 = 10.08
answer:
Cara's hourly wage is $10.08 after 3 years of working
Answer:
The surface area of the cylinder is 276.32m²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
To calculate the area of the circle we use the following formula
a = area
r = radius = 2m
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (2m)²
a = 3.14 * 4m²
a = 12.56m²
The area of the circle is 12.56m²
To calculate the lateral area of the cylinder we use the following formula
a = area =
h = heighti = 20m
r = radius = 2m
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 2m * 20m
a = 6.28 * 40m²
a = 251.2m²
The lateral area of the cylinder is 251.2m²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
251.2m² + (2 * 12.56m²) = 276.32m²
The surface area of the cylinder is 276.32m²