Use the tables to answer the question.

Question

Jamal
Step 1: Set equation =0. x2+4x−12=0
Step 2: Write quadratic equation as the product of two factors. (x+6)(x−2)=0
Step 3: Set each factor equal to 0. x+6=0 and x−2=0
Step 4: Solve each equation. x=−6 and x=2
George
Step 1: Begin with the equation. x2+4x−5=7
Step 2: Write quadratic equation as the product of two factors. (x+5)(x−1)=7
Step 3: Set each factor equal to 0. x+5=0 and x−1=0
Step 4: Solve each equation. x=−5 and x=1
When trying to solve the quadratic equation x2+4x−5=7, Jamal and George each provided their work in the tables. Each said they used the Zero Product Property to solve the equation after step 2. Explain in easy simple words how you know the correct student’s solution is accurate and how you know the incorrect student’s solution is inaccurate.

Answer 1

Let's look at each student's work step by step to see who's correct.

Jamal's Work:

1. He started with the equation x² + 4x - 12 = 0.
2. He factored it as (x + 6)(x - 2) = 0.
3. He set both factors equal to zero: x + 6 = 0 and x - 2 = 0.
4. Solving these gives x = -6 and x = 2.

George's Work:

1. He started with the equation x² + 4x - 5 = 7.
2. Before factoring, he needs to move the 7 to the other side to set it to zero, so it should be x² + 4x - 12 = 0.
3. He factored it as (x + 5)(x - 1) = 7, which is incorrect because you can't factor an equation that's still equal to 7.
4. Then he set the factors equal to zero: x + 5 = 0 and x - 1 = 0, leading to solutions of x = -5 and x = 1.

Analysis:

• Jamal's Solution: He set the equation correctly to zero and factored it correctly. Therefore, his use of the Zero Product Property is correct because both factors equaled zero when set.

• George's Solution: He did not set the equation equal to zero before factoring; he kept it equal to 7. Therefore, his factoring is incorrect, and this means he cannot use the Zero Product Property properly.

In simple words, Jamal did everything right and got the right answer because he followed all the steps correctly. George, however, made a mistake in his first step by not setting the equation to zero before trying to factor it, which caused his entire solution to be wrong.

Answer 2

Lotf Important quotes for Light and Dark

Answer 3

Put this in a paragraph and in easy words

Answer 4

In the story, the themes of light and dark are really important and symbolize different ideas. Light often represents hope, goodness, and knowledge, while dark symbolizes fear, evil, and ignorance. For example, characters might experience moments of joy and clarity in the light, showing how hope can shine through tough times. On the other hand, when things are dark, it often reflects confusion and despair that the characters face. This contrast helps us understand the struggles and growth of the characters as they navigate through these moments of light and darkness in their lives, highlighting the importance of finding hope even in challenging situations.

Answer 5

In "Lord of the Flies" by William Golding, the themes of light and dark are significant and often symbolize various aspects of the characters, their experiences, and the conflict between civilization and savagery. Here are some important quotes related to the themes of light and dark:

1. The Conch Shell:

   • The conch shell is often associated with order, civilization, and authority (light). When it is first discovered, it symbolizes the hope of a structured society.
   • “The conch exploded into a thousand white fragments and ceased to exist.”
     • This moment signifies the complete breakdown of order and the fall into chaos (darkness).

2. Ralph's Perspective on Fire:

   • “We’ve got to make smoke up there—or die.”
     • Fire represents hope and rescue (light), contrasting with the destructive potential of fire when it is used for savagery.

3. Simon and the Lord of the Flies:

   • “The candle-buds opened their wide white flowers and the red stuff bubbled from them.”
     • This imagery contrasts the beauty of nature (light) with the inherent violence of the boys' actions and the darkness within themselves.

4. Jack's Transformation:

   • “He began to dance and his laughter became a bloodthirsty snarling.”
     • This transformation of Jack reflects the descent into savagery (darkness) as he embraces his primal instincts.

5. Simon’s Death:

   • “The water rose farther and dressed Simon's coarse hair with brightness.”
     • Simon, representing innate goodness and truth, is surrounded by light even in death, implying purity amidst the darkness of human nature.

6. The Beast:

   • “The beast was harmless and horrible; and the beast was us.”
     • This quote encapsulates the novel's theme that the true darkness lies within human beings, contrasting the idea of external monsters with internal evil.

7. Piggy's Glasses:

   • “His specs—use them as burning glasses!”
     • Piggy’s glasses represent knowledge and insight (light); when they are damaged, it symbolizes the loss of reason and clarity.

These quotes demonstrate how Golding uses light and dark to explore profound themes about human nature, civilization, and the fragile veneer of society. The contrast serves to enhance the reader's understanding of the characters' journeys and the broader commentary on humanity.

Answer 6

Quote for literal thing light and quote for literal thing dark

Answer 7

Here are quotes that represent literal understandings of light and dark in "Lord of the Flies":

Literal Light:

• “The candle-buds opened their wide white flowers and the red stuff bubbled from them.”
  • This quote describes the natural beauty and brightness of the island, representing a literal and hopeful aspect of light in the environment.

Literal Dark:

• “The shore was fledged with palm trees. These stood or leaned or reclined against the light and their green feathers hung down in the river.”
  • This quote illustrates how the trees create shadows and darkness along the shore, depicting a literal sense of dark in the physical landscape.

These quotes help convey the contrasting elements of light and dark in a physical sense within the story.