let y = x^2
4y^2 -21y + 20 = 0
solve for y
then substitute back in to get x
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.
Answer:
She worked 12 hours for the week
Step-by-step explanation:
Given that :
Hours worked :
Mondays = 40 hours
Tuesdays = 8 hours
If 1/4 of regular hours was worked in a certain week, the number of hours worked that week can be calculated thus ;
1/4 (Monday hours + Tuesday hours)
1/4(40 + 8)
(1/4 * 40) + (1/4 * 8)
10 + 2
= 12 hours
Answer:
The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².
Step-by-step explanation:
Hope I could help!