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ExtremeBDS [4]
3 years ago
6

Select the two correct solutions of the inequality x + 8 > 14

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

\huge\textsf{Hey there!}

\large\text{x + 8 } \mathsf{>}\large\text{ 14}

\large\textsf{SUBTRACT 8 to BOTH SIDES}

\large\text{x + 8 - 8 }\mathsf{>}\large\text{ 14 - 8}

\large\textsf{CANCEL out: \text{8 - 8} because that gives you \text{0}}

\large\textsf{KEEP: \text{14 - 8} because that helps what you are  comparing to the \text{x}}

\large\text{x }\mathsf{> }\large\text{ 14 - 8}

\large\text{14 - 8 = \boxed{\bf 6}}\large\checkmark

\large\text{x }\mathsf{>}\large\text{ 6}

\boxed{\boxed{\large\textsf{Answer: \bf x}\mathsf{\bf >}\large\text{ \bf 6 }}}\huge\checkmark

\large\textsf{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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Point A is at (2, -8) and point C is at (-4, 7).
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(-2, 2)

Step-by-step explanation:

<u>Given:</u>

  • Point A is at (2, -8) and point C is at (-4, 7)

<u>Difference of coordinates:</u>

  • Δx = 2 - (-4) = 6
  • Δy = - 8 - 7 = - 15

<u>The ratio of AB to AC is 2:1. So:</u>

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<u>Then coordinates of point B should be 2/3 from the point A:</u>

  • x = 2- 6*2/3 = 2 - 4 = -2
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So point B has coordinates of (-2, 2)

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The number of hours, h, spent studying and the score, s, on a test. What is the dependent variable?
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2 years ago
How many 'words' can be made from the name ESTABROK with no restrictions
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<h3>How to determine the number of ways</h3>

Given the word:

ESTABROK

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p = 6

The formula for permutation without restrictions

P = n! ( n - p + 1)!

P = 8! ( 8 - 6 + 1) !

P = 8! (8 - 7)!

P = 8! (1)!

P = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 × 1

P = 40, 320 ways

Thus, the number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.

Learn more about permutation here:

brainly.com/question/4658834

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