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Leona [35]
3 years ago
6

Stuart is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%,what is the sale p

rice of the jeans including tax?
Mathematics
1 answer:
Arlecino [84]3 years ago
3 0
The sale price of the jeans including tax is going to add up to be $34.56.
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Step-by-step explanation:

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Transforming quadratic graphs
rewona [7]

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

  • y = a(x - h)² + k

Standard form of a parabola:

  • y = ax² + bx + c

Let's find the vertex of this parabola.

  • (h, k) → (2, 4)

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

  • 7 = a[(3) - (2)]² + 4

Simplify using PEMDAS.

  • 7 = a(1)² + 4
  • 7 = a + 4

Subtract 4 from both sides.

  • a = 3

Now we have (h, k) and a of the vertex form.

  • y = a(x - h)² + k  → y = 3(x - 2)² + 4

In order to convert from vertex to standard form, simplify the equation by FOILing.

  • y = 3(x - 2)² + 4
  • y = 3(x² - 4x + 4) + 4

Distribute 3 inside the parentheses.

  • y = 3x² - 12x + 12 + 4

Combine like terms.

  • y = 3x² - 12x + 16

Therefore, we have the answer:

<u>Vertex form:</u>

  • f(x) = 3(x - 2)² + 4

<u>Standard form:</u>

  • f(x) = 3x² - 12x + 16
8 0
2 years ago
Write each set in the indicated form. If you need to use "" to indicate a pattern, make sure to list at least four elements of t
KatRina [158]

Complete question is;

Write each set in the indicated form.

If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set.

As you answer below, remember that the natural numbers are just the counting numbers. This means that is not a natural number, and negative numbers are not natural numbers either.

(a) Roster form: {6,8,10,12,...}

Descriptive form:

(b) Descriptive form: The set of natural numbers greater than or equal to 3 and less than or equal to 6.

Roster form:

Answer:

A) Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) Roster form: {3, 4, 5, 6}

Step-by-step explanation:

A) We are given that the roster form is;

{6,8,10,12,...}

Now, the descriptive form is just a statement that describes the given roster form.

Now, we can see they are all even natural numbers and the least is 6 while after 12,we can see that the set continues.

Thus;

Descriptive form: A set of even natural numbers that are greater than or equal to 6.

B) We are given that the descriptive form is the set of natural numbers greater than or equal to 3 and less than or equal to 6.

This means the least number in the set is 3 while the highest number is 6.

Thus,the roster form is;

Roster form: {3, 4, 5, 6}

3 0
3 years ago
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