If x and y vary inversely, then xy = const.
x = 10, y = 8

Answer:
Last Year Length = 4 meters
This Year Length = 12 meters
This Year Width = 10 meters
Step-by-step explanation:
We know, area of the rectangle is given by the formula:
Area = Length * Width
Given width = 5
Area = 20
We solve for Length:
Area = Length * Width
20 = Length * 5
Length = 20/5 = 4
Last Year Length = 4 meters
Now, this year, the length would be 3 times as long, so new length would be:
This Year Length = 4 * 3 = 12 meters
This year, the width would be two times previous year, so width would be:
This Year Width = 5 * 2 = 10 meters
Answer and Step-by-step explanation:
The answer is the last answer choice.
g(x) = 
We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.
The equation for a transformed function is:
f(x) = 
a determines the scale of the graph and whether the graph opens up or down.
h determines whether the graph shifts left or right.
k determines whether the graph shifts up or down.
We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.
k is a positive 1, so the graph will be shifted up 1 unit.
<u>Thus, the answer is the last answer choice.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
3⁻¹ is <u>greater than </u>1/4
<u>Step-by-step explanation:</u>
3⁻¹ is nothing but the inverse of 3 .
So it can be written as 1/3.
Value of 1/3 can be found by dividing 1 by 3 to be 0.333...
Value of 1/4 can be found by dividing 1 by 4 to be 0.25
So 0.333 > 0.25
1/3 > 1/4
∴ 3⁻¹ > 1/4
A = Andrew
S = Sister
A : S
2 : 3
2 + 3 = 5
250 ÷ 5 = 50
2 × 50 = 100
3 × 50 = 150
∴ A : S
100 : 150
So Andrew keeps £100 of his salary every week.
Of this, he saves 12%:
100 × (12 ÷ 100) = 12
So he saves £12 every week
360 ÷ 12 = 30
∴ it will take him 30 weeks to save £360.