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ivann1987 [24]
2 years ago
15

Fin find the 31st term in -3, -5, -7, -9

Mathematics
1 answer:
vaieri [72.5K]2 years ago
6 0

Answer:

-63

Find common difference:

  • -5 -(-3)
  • -5 + 3
  • -2

nth term:

  • a + (n-1)(d)      <u>[where a is first term, d is common difference]</u>
  • -3 + (n-1)(-2)
  • -3 -2n + 2
  • -2n -1

So 31st term:

  • -2(31) -1
  • -63
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4 years ago
suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
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Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

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3 years ago
Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What
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62%

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I took a fraction and made a decimal which was made into a percentage.

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Check: 62% • 300 = 186

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