Answer:
Step-by-step explanation:
(a) Rename h(x) as y
(b) Solve for x :
(d) Switch x and y
(e) Rename y as the inverse function
The graphs of inverse functions are reflections of each other across the line y = x.
In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.
Answer:
Length is 20 m and width is 4 m.
Step-by-step explanation:
Given:
Perimeter of the rectangular alley, 
Length is 5 times the width.
Let width be 
.
So, as per question,
Length,
Now, perimeter of rectangle is given as:
Plug in 48 for 
, 
for 
and for b.
Therefore, width is 4 m.
Length is 
m.
Answer:
2.1 standard drinks
(or 2 if you need to round to the nearest whole number)
Step-by-step explanation:
The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.
So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.
Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).
One standard drink ≈ 0.6 fl oz pure alcohol
To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:
1.28 ÷ 0.6 = 2.1
Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.
Initially started 20 feet from the ground .
Went uphill 83 feet.
So: 20 + 83 = 103. The coaster is 103 ft above at this point.
Went down 42 feet
So: 103 - 42 = 61.
Went up 128 feet
So: 61 + 128 = 189
Finally, went down 90 feet
So: 189 - 90 = 99
99 ft above ground.
Answer:
5/6
Step-by-step explanation:
cuz there's 6 sides and there are 5 more sides than the 1
