Answer:
The solution to the equation is x = [log(2048)/log(23)] - 5
Step-by-step explanation:
Hi there!
First, let´s write the equation:
5 ⋅ 23^(x+5) = 10240
To solve for x, divide both sides of the equation by 5
23^(x+5) = 2048
Apply log to both sides of the equation
log(23^(x+5)) = log(2048)
Apply logarithm property: log(xᵃ) = a log(x)
(x + 5) log(23) = log(2048)
divide both sides of the equation by log(23)
x + 5 = log(2048)/log(23)
subtract 5 to both sides of the equation
x = [log(2048)/log(23)] - 5
The solution to the equation is x = [log(2048)/log(23)] - 5
Answer:
The exact area is 10^2 x 3.14 =100pi (3.14), using the approximation this is 314
Answers:
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Given:
Ava graphs the function
.
Victor graphs the function 
To find y intercept we plug in 0 for x

= 4
So ,Ava’s graph has a y-intercept of 4.
Ava graphs the function 
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function 
If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.
So we have to use the distributive property:
We ll get -12x-9-2x+5+18x-24
Now we have to combine like terms
-12-2x+18x=4x
-9+5-24=-28
Therefore our answer is:
Y=4x-28