Answer:
C
Step-by-step explanation:
(10 1/3)/(2/3) = 15.5
15.5 * 6 = 93
The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
Read more about inverse functions at:
brainly.com/question/14391067
#SPJ1
Answer:
54°
Step-by-step explanation:
180° - 52° - 30° = 98°
180 - 98° - 28° = 54°
5/8 cross multiply on the top then multiply the denominator you get 20/32 reduce that it's 5/8
Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.
The number of hours used for the return trip will be:
= 2 hours - 24 minutes.
= 1 hour 36 minutes.
= 1.6 hours.
Therefore, the speed of the air plane will be:
= (128 + 128) / (2 + 1.6)
= 256/3.6.
= 71.1 km per hour.
Learn more about speed on:
brainly.com/question/25860159
