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blagie [28]
2 years ago
12

What is the slope shown below?

Mathematics
1 answer:
UkoKoshka [18]2 years ago
7 0

Answer:

A

Step-by-step explanation:

To calculate the slope m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 7) and (x₂, y₂ ) = (9, 1) ← 2 points on the line

m = \frac{1+7}{9+3} = \frac{8}{12} = \frac{2}{3}

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Answer:

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Step-by-step explanation:

expand he equation

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4Th option is correct ✔️ ✔️

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Natalija [7]

Answer:  C & D

<u>Step-by-step explanation:</u>

A binomial experiment must satisfy ALL four of the following:

  1.  A fixed number of trials
  2.  Each trial is independent of the others
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  4.  The probability of each outcome remains constant from trial to trial.

A) When the spinner is spun three times, X is the sum of the numbers the spinner lands on.

  → #3 is not satisfied  <em>(#4 is also not satisfied)</em>

B) When the spinner is spun multiple times ...

    → #1 is not satisfied

C)  When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.

    → Satisfies ALL FOUR

  1.  A fixed number of trials = 4
  2.  Each trial is independent of the others = each spin is separate
  3.  There are only two outcomes = Not Odd & Odd
  4.  The probability of each outcome remains constant from trial to trial = P(X = not odd) = 0.50 for each spin

D) When the spinner is spun five times, X is the number of times the spinner lands on 1.

   → Satisfies ALL FOUR

  1.  A fixed number of trials = 5
  2.  Each trial is independent of the others = each spin is separate
  3.  There are only two outcomes = 1 & Not 1
  4.  The probability of each outcome remains constant from trial to trial = P(X = 1) = 0.17 for each spin

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2 years ago
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Domain:x\neq-3\\\\\dfrac{2x}{x+3}\leq3\qquad\text{subtract 3 from both sides}\\\\\dfrac{2x}{x+3}-3\leq0\\\\\dfrac{2x}{x+3}-\dfrac{3(x+3)}{x+3}\leq0\\\\\dfrac{2x}{x+3}-\dfrac{3x+9}{x+3}\leq0\\\\\dfrac{2x-(3x+9)}{x+3}\leq0\\\\\dfrac{2x-3x-9}{x+3}\leq0\\\\\dfrac{-x-9}{x+3}\leq0\Rightarrow(x+3)(-x-9)\leq0\\\\x=-3,\ x=-9\\\\x\in(-\infty,\ -9]\ \cup\ (-3,\ \infty)

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3 years ago
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