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Fudgin [204]
3 years ago
9

Which graph represents the equation -5x+4y>-1?

Mathematics
1 answer:
galben [10]3 years ago
6 0
<h3>Answer: Choice D</h3>

======================================================

Explanation:

The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.

A solid boundary line means that points on the boundary are part of the solution set.

Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

-5x + 4y \ge -1 \\\\-5(4) + 4(0) \ge -1 \\\\-20 \ge -1 \\\\

This is false because -20 is not larger than -1. It's the other way around.

This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.

The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.

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Jim Part 2 Homework Algebra more June 3rd
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Answers:

  • 6. A) 120 plus or minus 1
  • 7.  A)  (0, 22.7)
  • 8. B) When there are 0 people, the max noise is 22.7 dB
  • 9. D) 89
  • 10. B) The player had 318 at bats and 80 hits.

========================================================

Explanations:

  • 6. Plug in x = 65 and evaluate. You should get y = 120.2 which is fairly close to 120, give or take a decibel or so.
  • 7. The y intercept is the value of b in y = mx+b. In this case, b = 22.7 and the location of the y intercept is (0, b) = (0, 22.7)
  • 8. Plug in x = 0 and you should get y = 22.7, which is the y intercept mentioned earlier. It means that if x = 0 people show up, ie the stadium is empty, then the noise level is 22.7 dB. This is probably unrealistic as there's no people around to make noises, unless there are machinery or similar making sounds.
  • 9. Form the proportion 147/526 = x/317. Solve for x to get roughly x = 88.591, which rounds to 89. If we have 89 in this cell, then the row relative frequencies will fairly be the same (ie each row is pretty much identical after we compute the row relative frequencies) and that leads to a likely case we don't have association.
  • 10. The point (x,y) = (318, 80) means x = 318 and y = 80 pair up together. The variable x is the number of at bats, and y is the number of hits.
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Answer:

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