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victus00 [196]
3 years ago
12

Solve the compound inequality. Then graph the solution set. s-2 <-10 or-3s < 6

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Answer:

{s | s < -8 or s >= -2}

Step-by-step explanation:

In order to solve an inequality we simply have to isolate the variable by applying the opposite operations on each side.

s - 2  <  -10   ... add 2 to both sides

s  <  -8

-3s  <=  6   ... divide both sides by -3, since we are dividing a negative number you must flip the sign

x >= -2

Therefore the final answer would be {s | s < -8 or s >= -2} which is the 3rd graphed multiple choice answer as seen attached to this answer.

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Answer:

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4 years ago
Write the equation of a line that is perpendicular to y = -0.3z +6 and that passes through the point
lawyer [7]

Answer:

y = 3.33x - 18

Step-by-step explanation:

In order for a line to be perpendicular to another, it must have a slope with the negative reciprocal

  • Here in the equation y = -0.3z + 6 has a slope of  -0.3 (can also be written as -\frac{3}{10})
  • A line that is perpendicular to this line will need to have a slope of 3.33 repeating (or \frac{10}{3})
  • I will using fractions for simplicity and convert to decimals afterwards

Since we have our slope and the two points, we can plug them into y = mx + b to solve for b and write our new equation of a line

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Now that we have our slope and our y-intercept we can plug them into the same formula used before to find our perpendicular line:

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5 0
3 years ago
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Answer:

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4 0
3 years ago
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