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) ..
If you would like to factor completely 3 * x^2 - x - 4, you can do this using the following steps:
<span>3 * x^2 - x - 4 = (3 * x - 4) * (x + 1) = (3x - 4) * (x + 1)
</span>
The correct result would be (3x - 4) * (x + 1<span>).</span>
Answer:
70 -20x = 60 -15x
Step-by-step explanation:
The amount of money left on Josh's card is ...
70 -20x
The amount of money left on Jessica's card is ...
60 -15x
These amounts are the same when ...
70 -20x = 60 -15x
_____
<em>Additional comment</em>
The solution to this equation is ...
10 = 5x ⇒ x = 2 . . same amount after purchase of 2 pizzas
Buying price: $75,300
Selling price: $80,250
You want to find out how much more the selling price was when compared to the buying price.
To find the difference in prices, simply subtract the selling price with the buying price.
$80,250 (buying price) - $75,300 (selling price) = $4,950 (price difference)
The selling price is greater than the buying price of the house by $4,950
