Amy would have spent $22.5 on her books (assuming you meant $10 total, not $10 per book)
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
<h3>How to apply translations on a given function</h3>
<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:
Horizontal translation
g(x) = f(x - k), k ∈
(1)
Where the translation goes <em>rightwards</em> for k > 0.
Vertical translation
g(x) = f(x) + k, k ∈
(2)
Where the translation goes <em>upwards</em> for k > 0.
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
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Answer: The total cost of the fences=$165.6
Step-by-step explanation:
Let a = the length of the side if the square.
The perimeter of the square is 60 ft
4a = 60ft
divide both sides by
4a = 60/4
a = 15 ft
The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside
Expand to get:
4*a + 4(a + 2*3)
Replace a with 15 to get:
= 4*15 + 4(15 + 6) 60 + 4(21) 60+84
= 144ft
The cost of the fence is $1.15 per foot
The cost of 144 ft fence will be:
= 144*1.15
= $165.6
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1/4=2/8 and 3/4=6/8... common denominator
2/8+5/8+1/8+2/8+2/8+2/8+6/8+6/8=26/8=13/4=3 1/4
3x+50 = 6x - 10
6x -3x = 50+10
3x = 60
x = 20
answer
x = 20