Whats the question. I need the question to answer.
Answer:
3x^2 + 8
Step-by-step explanation:
Given functions,
f(x) = 3x + 8 ----(1)
g(x) = x^2 -----(2)
Since,
(fog)(x) = f( g(x) ) ( Composition of functions )
=f(x^2) ( From equation (2) )
=3x^2 + 8 ( From equation (1) )
Hence,
(fog)(x)=3x^2 + 8
Step-by-step explanation:
I hope the equation will be 2000=16000(1-r)^t because t is missing in the equation which we need to find.
Given rate: r= 35%= 0.35.
So, first step is to plug in 0.35 for r in the given formula to get the value of t.
Hence, the equation will be:
2000=16000(1-0.35)^t
2000=16000(0.65)^t (By subtraction)
2000/16000= 16000(0.65)^t /16000 (Dividing each sides by 16000)
0.125 = 0.65^t (By simplifying).
log 0.125 = log 0.65^t (Taking log each sides to isolate t).
log 0.125 = t log 0.65 (By applying the log property).
(Dividing each sides by log 0.65)
-0.903/-0.187 =t
t= 4.83
t= 5 ( Rounded to nearest integers)
So, Devon's car is 5 years old.
Using the sine rule:
40/sin(90) = 28/sin(x)
These are two fractions that are equal so we can cross multiply to get:
40 x sin(x) = 28 x sin(90)
Rearranging:
sin(x) = (28 x sin(90))/40
Take inverse sine to find x (the angle)
x = sin^-1(28 x sin(90))/40)
X = 44.4° to 1dp
Lmk if anything’s unclear.