Answer:
-21 is the answer , hope it helps
Step-by-step explanation:
Answer:
<u>Given </u>
A
<u>Find the inverse of f(x):</u>
- x = 3 + 6f⁻¹(x)
- 6f⁻¹(x) = x - 3
- f⁻¹(x) = (x - 3) / 6
B
- f · f⁻¹( ∛5/6) =
- f( f⁻¹( ∛5/6)) =
- f((∛5/6 - 3)/6) =
- 3 + 6((∛5/6 - 3)/6) =
- 3 + ∛5/6 - 3 =
- ∛5/6
C
- f · f⁻¹(x) =
- f(f⁻¹(x)) =
- f((x - 3)/6) =
- 3 + 6(x - 3)/6 =
- 3 + x - 3 =
- x
We can use the equation: y=mx+b
x represents the x-value, y represents the y-value, m represents slope, and b represent the y-intercept.
We must plug in what we know in order to find the value of b.
32 = 1.5*21 + b
32 = 31.5 + b
So b = 0.5
Now we know our equation is y = 1.5x + 0.5
We can find any other point on the line by plugging in any x-value. Let's try 5.
y = 1.5*5 + 0.5
So y =8 and our point is (5,8)
3/20 is the same as 15/100 or 15%
so 10×3/20 would be the same as 10×15% or 150%
Is that what you were asking?
<h3>
Answer:</h3>
30 ft; 0.4 min
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you ...
... Sin = Opposite/Hypotenuse
Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...
... Hypotenuse = Opposite/Sin
Filling in the values from this problem, we have ...
... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft
The time it takes to travel that distance is given by ...
... time = distance/speed
... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min
