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fgiga [73]
2 years ago
11

42,765 divided by 7 ty

Mathematics
2 answers:
Helga [31]2 years ago
5 0

Answer:

Exact Form:

42765

7

Decimal Form:

6109.28571428....

Mixed Number Form:

6109

2

7

tangare [24]2 years ago
4 0

Answer:

6109.2

Step-by-step explanation:

it is a terminating decimal.

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In a package of candy there is a total of 24 yellow pieces. For every 5 green pieces in the package, there are 8 yellow pieces.
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8x = 24

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Read 2 more answers
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
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