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sveticcg [70]
3 years ago
9

Find the slope from the table.

Mathematics
1 answer:
Radda [10]3 years ago
7 0

Answer:

slope = \frac{1}{2}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from table

m = \frac{2-1}{1+1} = \frac{1}{2}

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Take the number of apples and divide it by 6 in order to find out the number of cups that can be made.

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Answer:

  • -35/3, -140/3, - 560/3, -2240/3
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Step-by-step explanation:

<u>The terms are:</u>

  • a₁, a₂, a₃, a₄

<u>Given:</u>

  • a₁ = a₂ + 35
  • a₃ = a₄ + 560

<u>Use the nth term formula:</u>

  • a₂ = a₁r
  • a₃ = a₁r²
  • a₄ = a₁r³

<u>Substitute:</u>

  • a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
  • a₁r² = a₁r³ + 560  ⇒ a₁(1 - r)r² = 560

<u>Divide the second equation by the first:</u>

  • r² = 560/35
  • r² = 16
  • r = √16
  • r = ± 4

<u>Use the first equation to find the first term:</u>

  • a₁( 1 ± 4) = 35
  • 1. a₁ = 35/-3 = -35/3
  • 2. a₁ = 35/5 = 7

<u>We have two sequences:</u>

r = 4

  • -35/3, -140/3, - 560/3, -2240/3

r = -4

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3 years ago
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Dafna1 [17]

Answer: 1:3

Step-by-step explanation:

2 Days = 48 hours

16 : 48 hours

1:3

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