Answer:
x = 6
Step-by-step explanation:
As the function f(x) is an exponencial function, it will grow faster than g(x), that is a linear function.
For small values of x, we have that f(x) < g(x). For example:
f(1) = 1/2 * 2 = 1
g(1) = 5*1 + 2 = 7
f(2) = 1/2 * 4 = 2
g(2) = 5*2 + 4 = 14
So we just need to check some integer values and see when f(x) will be bigger than g(x). It will not be a big value, as the exponencial function grows very fast.
For x = 5, we have:
f(5) = 1/2 * 32 = 16
g(5) = 5*5 + 4 = 29
For x = 6, we have:
f(6) = 1/2 * 64 = 32
g(6) = 5*6 + 4 = 34
For x = 7, we have:
f(7) = 1/2 * 128 = 64
g(7) = 5*7 + 4 = 39
So the largest integer value of x for f(x) ≤ g(x) is x = 6.
Another way to solve this is by plotting both equations, and then checking where they cross, that is, where f(x) = g(x).
Answer:
The answer is 9.725
Step-by-step explanation:
We have been given the mixed fraction 
First we will concert this to improper fraction.
= 
Now we will divide this using long division or calculator and get the answer 9.725.
Answer:
<em>p - </em>4
Step-by-step explanation:
Since there are 48 paintings being donated by 12 collectors, then we can say that each collector will donate 4 paintings.
This means Sergio has 4 less paintings than before which was represented by <em>p.</em> So, our expression is <em>p </em>- 4.
<h3>
Answer: Choice C</h3>
Explanation:
This is after using the nCr combination formula
where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.
We use nCr instead of nPr because the order of the toppings doesn't matter.
