Eight more than six times a number added to one more than nine times the number
2 answers:
Answer:
Step-by-step explanation:
We are supposed to write an expression for the given verbal description.
Let x be the required number.
Six times the number would be .
Eight more than six times the number would be .
Nine times the number would be .
One more than nine times the number would be .
Add both expressions:
Combine like terms:
Therefore, our required expression would be .
You might be interested in
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.
