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zloy xaker [14]
2 years ago
8

1. The equation c = 2.95g shows how much it costs to buy gas at a gas station on a

Mathematics
1 answer:
Karolina [17]2 years ago
7 0

Answer:

see the procedure

Step-by-step explanation:

we have

c=2.95g

where

c -----> the cost in dollars

g ----> the number gallons of gas purchased

1) For g=1 gal

substitute the value of g in the equation and solve for c

c=2.95(1)

c=\$2.95

The pair (1,2.95) fit the relationship

2) For g=3 gal

substitute the value of g in the equation and solve for c

c=2.95(3)

c=\$8.85

The pair (3,8.85) fit the relationship

3) For g=5 gal

substitute the value of g in the equation and solve for c

c=2.95(5)

c=\$14.75

The pair (5,14.75) fit the relationship

4) For c=$20.65

substitute the value of c in the equation and solve for g

20.65=2.95g

g=20.65/2.95

g=7\ gal

The pair (7,20.65) fit the relationship

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Answer:

1) 2 > -3 > -5

Step-by-step explanation:

that is mathematically correct

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Isaac has 21 green marbles and 7 blue .He wants to place them in identical groups without any marbles left over.What is the grea
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Answer:

7 groups

Step-by-step explanation:

Each group would have 1 blue marble and 3 green marbles

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Identify the coordinates of the vertices of each figure after the similarity transformation.
bija089 [108]

Answer:

After translation:

Translation: (x, y)  →  (x-6, y-8)

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

After dilation:

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

Step-by-step explanation:

Given the vertices of the Quadrilateral WXYZ

  • W(-4, 8)
  • X(-4, 0)
  • Y(-12, 4)
  • Z(-8, 16)

As the rule of translation is given by

Translation: (x, y)  →  (x-6, y-8)

So, after the translation the vertices of Quadrilateral WXYZ will be translated as:

W(-4, 8)  →  (x-6, y-8) ⇒ (-4-6, 8-8) = W'(-10, 0)

X(-4, 0)  →  (x-6, y-8) ⇒ (-4-6, 0-8) = X'(-10, -8)

Y(-12, 4)  →  (x-6, y-8) ⇒ (-12-6, 4-8) = Y'(-18, -4)

Z(-8, 16)  →  (x-6, y-8) ⇒ (-8-6, 16-8) = Z'(-14, 8)

Therefore,

W'X'Y'Z' = W'(-10, 0), X'(-10, -8), Y'(-18, -4), Z'(-14, 8)

Next, the rule of dilation is given by

Dilation: (x, y)  →  (2x, 2y), centered at (0, 0)

W'(-10, 0)  →  (2x, 2y) ⇒ (2(-10), 2(0)) = W'' (-20, 0)  

X'(-4, 0)  →  (2x, 2y) ⇒ (2(-4), 2(0)) = X'' (-8, 0)

Y'(-12, 4)  →  (2x, 2y) ⇒ (2(-12), 2(4)) = Y'' (-24, 8)

Z'(-8, 16)  →  (2x, 2y) ⇒ (2(-8), 2(16)) = Z'' (-16, 32)

Therefore,

W''X''Y''Z'' = W'' (-20, 0), X'' (-8, 0) , Y'' (-24, 8), Z'' (-16, 32)

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Step-by-step explanation:

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