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neonofarm [45]
2 years ago
7

Store E offers a book that Karen wants for 20% off its regular price of $15.00. Store F sells the same book for $15, before a $3

.00 mail-in rebate. Where should Karen purchase the book? Explain your reasoning.
Mathematics
1 answer:
azamat2 years ago
8 0

Answer:

Karen should purchase her book from store E because 20% off would be $3 off making it $12 therfore store F would come to a total cost off $18 making it more expensive, meaning that Karen should buy her book from store E

Step-by-step explanation:

:) hope this helpss!

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Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, t
charle [14.2K]

Answer:

  • <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>

Explanation:

<u>1. Vertices of triangle FGH:</u>

  • F: (-2,1)
  • G: (-3,3)
  • H: (0,1)

<u>2. Vertices of triangle F'G'H':</u>

  • F': (-8,-4)
  • G': (-12,-12)
  • H': (0, -4)

<u>3. Solution:</u>

Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:

  • Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)

       (0,1) → 4(0,1) = (0,4)

  • Rule for a reflection across the x-axis:{ (x,y) → (x, -y)

        (0,4) → (0,-4)

Verfiy the transformations of the other vertices with the same rule:

  • Dilation by a scale factor of 4: multiply each coordinate by 4

       4(-2,1) → (-8,4)

       4(-3,3) → (-12,12)

  • Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate

        (-8,4) → (-8,-4) ⇒ F'

        (-12,12) → (-12,-12) ⇒ G'

Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>

4 0
3 years ago
Read 2 more answers
HELP
Sati [7]

Answer:

B y = 3x^2 + 12x + 19

Step-by-step explanation:

y = 3(x + 2)^2 + 7

To expand the square of the binomial,

either recall that (a + b)^2 = a^2 + 2ab + b^2, or use FOIL.

y = 3(x^2 + 4x + 4) + 7

y = 3x^2 + 12x + 12 + 7

y = 3x^2 + 12x + 19

Answer: B y = 3x^2 + 12x + 19

8 0
3 years ago
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PLS HELP THIS IS A TEST !!!! I'LL GIVE BRAINLIEST !!!!
Veseljchak [2.6K]

Answer:

I think they are congruent

7 0
3 years ago
Prove that if x and y are rational then their product is also rational. First write a proof on your own and then put the followi
Ymorist [56]

Answer:

Step-by-step explanation:

The aim of this question is to prove that the product of two rationals is rational.

<u>To proof:</u>

If \mathbf{x  \ and  \ y} are arbitrary rational numbers.

Thus, going by the definition of rational, there exist integers

a, b, ≠ 0, c, and d ≠ 0 ; x = \dfrac{a}{b} \ and \ y = \dfrac{c}{d}

Hence, xy = (\dfrac{a}{b})(\dfrac{c}{d}) = \dfrac{ac}{bd}

Since a and c are integers, then e = ac appears to be an integer as well.

Also, provided that b and d are non-zero integers;

f =bd appears to be a non-zero integer.

Therefore, xy = \dfrac{e}{f}, and going by the definition of rational, xy is rational.

Hence, from the complete question:

The order of the statement is:

7,6,3,5,2,4

The statements that should not be used in the proof are:

1 N

8 N

9 N

10 N

11 N

7 0
3 years ago
Tess earns $2 for every cup of lemonade she sells. How many cups of lemonade does Tess need to sell in all to earn $16
nikdorinn [45]
Tess needs to sell 8 cups of lemonade to get $16
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