120 ways. More details in attachment.
We are given the two functions
and
. Since the question is asking us for the value of x when f(x) is equal to g(x), all we need to do is equate the respective expressions together. This is what the result should be:
Now, just solve for x. If you want to save some time, you can use logic and then algebra. To do this, look at the square root. We cannot have an imaginary number, so we can rule out the first two options. Now, we are left with x = 2 and x = 4. When we plug in each x-value to the equation, only 4 works out with a result of 0.5 = 0.5. Therefore, the solution to f(x) = g(x) is
D) x = 4. Hope this helps and have a great day!
Answer:
(1+4)*2=10
Step-by-step explanation:
Answer: 2 7 0
Step-by-step explanation:
1. We assume, that the number 900 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 900 is 100%, so we can write it down as 900=100%.
4. We know, that x is 30% of the output value, so we can write it down as x=30%.
5. Now we have two simple equations:
1) 900=100%
2) x=30%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
900/x=100%/30%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 30% of 900
900/x=100/30
(900/x)*x=(100/30)*x - we multiply both sides of the equation by x
900=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x
900/3.33333333333=x
270=x
x=270
now we have:
30% of 900=270