9514 1404 393
Answer:
Step-by-step explanation:
The side lengths are 1/4 of the perimeter, so we can say ...
the sum of side lengths is 68 ft/4 = 17 ft
the difference of side lengths is 12 ft/4 = 3 ft
Using x to represent the side length of the smaller square, we have ...
x + (x +3) = 17 . . . . . . the larger square has side length x+3
2x = 14 . . . . . . . . . subtract 3
x = 7 . . . . . . . . divide by 2
The side lengths of the squares are 7 feet and 10 feet.
Gym A charges $ 9 per hr......1 hr = 60 minutes
9/60 = 0.15 per minute
Gym B charges 0.75 per 5 minutes
0.75/5 = 0.15 per minute
both Gyms cost the same
2.
h(x) = 1/(x - 1)
<em><u>Replace h(x) with y.</u></em>
y = 1/(x - 1)
<u><em>Swap x and y.</em></u>
x = 1/(y - 1)
<em><u>Solve for y.</u></em>
<em><u>Multiply both sides by (y - 1)</u></em>
x(y - 1) = 1
<em><u>Distributive property.</u></em>
xy - x = 1
<em><u>Add x to both sides.</u></em>
xy = 1 + x
<em><u>Divide both sides by x.</u></em>
y = 1/x + 1
<em><u>Replace y with h^-1(x)</u></em>
H^-1(x) = 1/x + 1 is the inverse function for question 2.
4.
h(x) = 4/(x + 2)
<em><u>Replace h(x) with y.</u></em>
y = 4/(x + 2)
<em><u>Swap y and x.</u></em>
x = 4/(y + 2)
<em><u>Solve for y.</u></em>
<em><u>Multiply both sides by y + 2.</u></em>
x(y + 2) = 4
<em><u>Distributive property.</u></em>
xy + 2x = 4
<em><u>Subtract both sides by 2x.</u></em>
xy = 4 - 2x
<em><u>Divide both sides by x.</u></em>
y = 4/x - 2
<em><u>Replace y with h^-1(x)</u></em>
H^-1(x) = 4/x - 2 is the inverse function for question 4.
When within the Course of human occasions, it gets to be fundamental for individuals to break up the political groups which have associated them with another, and to look forward to the powers of this world, the partitioned and the same to station to which the Laws of Nature and of Nature's God entitle them, a conventional regard to the conclusions of mankind requires that they ought to pronounce the causes which.
Answer: -4v+9
Step-by-step explanation:
u - 5 = -4(v - 1)
u - 5 = -4v + 4
+5 +5
u = -4v + 9
