Answer:
1. (4,2)
2. No solution
3. (1,3)
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Answer: g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Step-by-step explanation:
Given functions: and
When x=0, and
∴ at x=0, g(x)=h(0)
Therefore the statements "For any value of x, g(x) will always be greater than h(x)." and "For any value of x, h(x) will always be greater than g(x)." are not true.
When x=-1, and
∴g(x) > h(x) for x = -1. ......................(1)
When x=3, and
∴ g(x) > h(x) for x = 3....................(2)
⇒g(x) < h(x) for x = 3. is not true.
From (1) and (2),
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Answer:
Step-by-step explanation:
First, we need to get the amount of change:
The amount of change can either be an increase or a decrease.
It can be calculated as follows:
amount of change =
If the amount of change is positive, then it is an increase
If the amount of change is negative, then it is a decrease
Then, we need to convert this amount into a percentage:
Changing the amount into a percentage can simply be done by multiplying this amount by 100
This means that:
% of change = amount of change * 100
Combining the two steps:
% of change = * 100
Examples:
The original price of a certain product was $10. It then became $12. Find the % of increase.
% of change = = 20%
This means that the price increased by 20%
The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.
% of decrease = = -20%
This means that the temperature decreased by 20%
Hope this helps :)
Answer:
108 seconds and 0.03 hours
We know that 1 euro equals 0.72 pounds. To deduce the inverse conversion, we have to manipulate this equation so that it looks like
"x euros = 1 pound"
If you divide both sides of the equation by 0.72, the pounds coefficient will become 1, and you'll get the amount of euros that equal 1 pound.
Answer:
Step-by-step explanation: