For this case, we must find the inverse of the following function:
We follow the steps below:
We exchange the variables:
We put the variable y on the left side of the equation:
We apply logarithm properties:
So:
Answer:
Option B
Answer:
2
Step-by-step explanation:
You can rewrite thosee two equations as -9x+12=-6, because f(x)=f(x)
Now isolate x
-9x+12=-6
-9x+12-12=-6-12 (subtract 12, subtraction property of equality)
-9x=-6-12
-9x=-18 (simplify)
-9x/-9=-18/-9 (divide by 9, division property of equality)
x=2
Answer:
15
Step-by-step explanation:
Fiona (F) = Sushi (S)
Malachy (M) = 7 Fiona (F)
M = F + 90
F + 90 = 7F
6F = 90
F (Fiona) = 15
S (Sushi) = 15
check: Malachy (M) = 15 * 7 = 105
M-F = 105 - 15 = 90
Answer:
4.6 hours
Step-by-step explanation:
we first need to calculate the total distance he covered and total time taken whole for the journey.
Distance= speed X time
time = Distance/speed
let the total distance be X. he covers 2/5 if the journey first.
2/5 = 0.4
Time = 0.4x/45 hours
the remaining journey is 3/5x
he covers 1/3 X 3/5= 0.2x
time taken = 0.2/90 X hours
the remaining distance = 100× 1.2 = 120km
we add 0.4x + 0.2x to get the fraction he had covered
0.6x.
the remaining distance was X - 0.6x = 0.4 X
thus 120 km represents 0.4x of the journey
we calculate now the value of X
0.4x = 120
X = 300km
Total time taken = 0.4x/45 + 0.2/90 + 1.2 hours
replace X to get time
2.7 hours + 0.7 hours + 1.2 hours
= 4.6 hours
