Answer:
(g+f)(x)=(2^x+x-3)^(1/2)
Step-by-step explanation:
Given
f(x)= 2^(x/2)
And
g(x)= √(x-3)
We have to find (g+f)(x)
In order to find (g+f)(x), both the functions are added and simplified.
So,
(g+f)(x)= √(x-3)+2^(x/2)
The power x/2 can be written as a product of x*(1/2)
(g+f)(x)= √(x-3)+(2)^(1/2*x)
We also know that square root dissolves into power ½
(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)
We can see that power ½ is common in both functions so taking it out
(g+f)(x)=(x-3+2^x)^(1/2)
Arranging the terms
(g+f)(x)=(2^x+x-3)^(1/2) ..
Answer: $20
Step-by-step explanation:
Let 'x' be the cost of a ticket at Haynes
Let 'y' be the cost of a ticket at Valley
Since the total cost from both schools are the same, we can write it as:
Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:
Now we have two equations, we can use to substitute into the other expression:
we substitute y in this equation with the other equation
Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.
I believe the answer is
<h2>D.</h2>
<u>''Twice as many students will take art as will take choir''</u>
<u />
<h3>There are 80 students taking art, and 40 students taking choir. </h3><h3>Art is twice the size of choir.</h3><h3 />
(I'm giving away free points in my question)
I hope this helped! +*♡
