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:
PQ R s parallelogram
< Q = < s = 114
< P = 180 _ 114 = 66
<2 = 66 / 2 = 33
< I = 114 / 2 = 5 7
< I + < 2 = 3 3 + 57 = 90
< ( STP ) = 90
TP I ST
Answer:
$7.2/lb
Step-by-step explanation:
9/1.25= 7.2
Answer:
<h2>For the first triangle, <u>x equals 22cm.</u></h2>
Here's how:-
x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-
The base is 120cm and the hypotenuse is 122cm
Putting this in the equation, we get:-
= 484
altitude = 
<h3>altitude = 22cm</h3><h2><u>So, x = 22cm</u></h2>
Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 2, thus
= 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
= (2 × 130) + 4 = 260 + 4 = 264
