In the spirit world, the trickster god Raven grew bored. He decided to leave and fly over the earth, but he found it was in total darkness. The selfish Sky Chief had been hoarding daylight from the world. Raven wanted to be able to see the earth as he flew over it, so he decided to play a trick on the chief and steal the light. Raven crept into the chief’s dwelling. He appeared as a baby, with raven hair and black eyes. The chief's daughter adopted the child, never knowing that he was in fact Raven the trickster.

Question

—"The Raven and the First Men:
The Beginnings of the Haida”

What inference can be made based on the daughter’s actions in this passage?

The daughter was looking for a baby.
The daughter does not listen to her father.
The daughter also wanted to steal the light.
The daughter is caring toward others.

Answer 1

The inference that can be made based on the daughter’s actions in this passage is that the daughter is caring toward others. By adopting the baby, who is actually Raven, she demonstrates compassion and a nurturing nature.

Answer 2

Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below.

Combine like terms: –10.9p + 3.9 = –9.18
Apply the next steps to solve the equation. What is the solution?

Answer 3

To solve the equation \(-10.9p + 3.9 = -9.18\), follow these steps:

1. Subtract 3.9 from both sides: \[ -10.9p + 3.9 - 3.9 = -9.18 - 3.9 \] This simplifies to: \[ -10.9p = -13.08 \]

2. Divide both sides by -10.9 to isolate \(p\): \[ p = \frac{-13.08}{-10.9} \] Simplifying that gives: \[ p \approx 1.2 \]

So, the solution to the equation is: \[ p \approx 1.2 \]

Answer 4

answer 1.2 great job Determine which statements are true. Check all that apply.

h(x) has a constant output of –2.50.
As x increases, g(x) increases.
g(x) is greater than –2.50 for x values less than –1.
h(x) is less than –2.50 for x values greater than –2.
The input value for which g(x) = h(x) is between –1 and 0.

x g(x)
-4 0
-3 -0.75
-2 -1.50
-1 -2.25
0 -3
1 -3.75

x h(x)
-4 -2.50
-3 -2.50
-2 -2.50
-1 -2.50
0 -2.50
1 -2.50

Answer 5

To determine which statements are true, let's analyze the provided data for \(g(x)\) and \(h(x)\):

Given Values:

g(x)

• \( g(-4) = 0 \)
• \( g(-3) = -0.75 \)
• \( g(-2) = -1.50 \)
• \( g(-1) = -2.25 \)
• \( g(0) = -3 \)
• \( g(1) = -3.75 \)

h(x)

• \( h(-4) = -2.50 \)
• \( h(-3) = -2.50 \)
• \( h(-2) = -2.50 \)
• \( h(-1) = -2.50 \)
• \( h(0) = -2.50 \)
• \( h(1) = -2.50 \)

Analyzing the Statements:

1. h(x) has a constant output of –2.50.

   • True. The output of \(h(x)\) is \(-2.50\) for all values of \(x\).

2. As x increases, g(x) increases.

   • False. As \(x\) increases from \(-4\) to \(1\), \(g(x)\) decreases: \(0 \to -0.75 \to -1.50 \to -2.25 \to -3 \to -3.75\).

3. g(x) is greater than –2.50 for x values less than –1.

   • True. For \(x = -4\) to \(-1\):
     • \(g(-4) = 0 > -2.50\)
     • \(g(-3) = -0.75 > -2.50\)
     • \(g(-2) = -1.50 > -2.50\)
     • \(g(-1) = -2.25 > -2.50\)

4. h(x) is less than –2.50 for x values greater than –2.

   • False. For all \(x\) values, \(h(x) = -2.50\) regardless of whether \(x\) is greater than \(-2\).

5. The input value for which g(x) = h(x) is between –1 and 0.

   • True. We need to check values of \(g(x)\) and see where \(g(x) = -2.50\):
     • From the table, \(g(-1) = -2.25\) and \(g(0) = -3\).
     • Therefore, there is no \(x\) such that \(g(x) = h(x)\) in the interval \((-1, 0)\), but since the function approaches \(h(x)\) from above, it can be inferred that it does cross \(-2.50\) somewhere in that interval.

Final Answers:

• True Statements:
  • h(x) has a constant output of –2.50.
  • g(x) is greater than –2.50 for x values less than –1.
  • The input value for which g(x) = h(x) is between –1 and 0.

Answer 6

perfect its
1. h(x) has a constant output of –2.50.
2. g(x) is greater than –2.50 for x values less than –1.
3. The input value for which g(x) = h(x) is between –1 and 0.

now Use the graph to determine the input value for which f(x) = g(x) is true.

x = 0.5
x = 1
x = 1.5
x = 2

y = f(x)
y = g(x)
x
y
-1
1
2
3
-1
-2
-3

Answer 7

To determine the input value for which \(f(x) = g(x)\), we need to analyze the values of \(g(x)\) given in your previous data alongside the graph, though specific graph points are not provided here.

Based on the input values you have:

Given Values for g(x):

From previous data, we have:

• \( g(-1) = -2.25 \)
• \( g(0) \) is not provided, but we'll estimate using the previous correlations.
• \( g(1) = -3.75 \)

Values for f(x):

You have points for \(f(x)\):

• At \(x = -1, f(-1) = 1\)
• At \(x = 0, f(0) = 2\)
• At \(x = 1, f(1) = 3\)

Evaluating Possible Inputs:

We will check at the inputs listed:

1. At \(x = 0.5\):

   • There is no specific value provided for \(f(0.5)\) or \(g(0.5)\), so we cannot determine.

2. At \(x = 1\):

   • \(f(1) = 3\)
   • \(g(1) = -3.75\)
   • Not equal.

3. At \(x = 1.5\):

   • Again, no specific value is provided for \(f(1.5)\) or \(g(1.5)\).

4. At \(x = 2\):

   • \(f(2)\) is unknown, making it hard to determine.

Conclusion:

Since we do not have specific \(g(x)\) values for \(x = 0.5\), \(x = 1.5\), or \(x = 2\) based on provided data, we cannot definitively find \(x\) values where \(f(x) = g(x)\). The critical observation from available data suggests you might want to review a specific part of the graph or provide more details around those points.

However, based on approximations:

• If observing intersections or emerging patterns between \(f\) and \(g\):
  • An intersection appears likely around \(x = 0\) or \(x = 1\) based on the function behaviors they're showing around those ranges.

If you have more complete graph information or specific input values for \(f\) at the points \(0.5\), \(1.5\), or \(2\), then \(f(x) = g(x)\)’s determination would be straightforward.

Answer 8

okay i have more info about the graph The image depicts a graph with two functions plotted on a Cartesian coordinate system. The horizontal axis is labeled “x,” and the vertical axis is labeled “y.” The orange line represents the function ( y = f(x) ), which is a horizontal line at ( y = 2 ). The teal line represents the function ( y = g(x) ), which is a diagonal line passing through the points (0, -1) and (1, 0), and continues upwards. The point of intersection of the two lines is at (1, 2). The graph includes grid lines for better clarity of the coordinates.

Answer 9

Thank you for the additional details about the graph! Based on your description, we can analyze the functions \(f(x)\) and \(g(x)\) as follows:

1. Function \(f(x)\):

   • \(f(x)\) is a horizontal line at \(y = 2\). This means that for any value of \(x\), \(f(x) = 2\).

2. Function \(g(x)\):

   • \(g(x)\) is a diagonal line that passes through the points \((0, -1)\) and \((1, 0)\), which indicates that it has a slope and continues upward.

Determining the Intersection:

From your description, the point of intersection occurs at \((1, 2)\). Since \(f(x) = 2\) at \(x = 1\), we can conclude:

• At \(x = 1\):
  • \(f(1) = 2\)
  • \(g(1) = 2\) (as per the point of intersection)

Conclusion:

The input value for which \(f(x) = g(x)\) is:

\[ \boxed{1} \]

At \(x = 1\), both functions equal \(y = 2\).

Answer 10

The answer is x = 1.5.

here is another question Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.

7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?

It cannot be a fraction or decimal because the depth of the well is a whole number.
It must be a positive number since it represents a number of hours.
It must be a negative number because the depth is below sea level.
It cannot be greater than –72 because that is the depth of the well.

Answer 11

Let's evaluate the equation that Pieter wrote and solved:

\[ 7h - 5(3h - 8) = -72 \]

First, we will simplify the equation to understand the possible values of \(h\):

Step 1: Expand and simplify

1. Distribute the \(-5\) in the equation: \[ 7h - 15h + 40 = -72 \]

2. Combine like terms: \[ -8h + 40 = -72 \]

Step 2: Isolate \(h\)

1. Subtract 40 from both sides: \[ -8h = -72 - 40 \] \[ -8h = -112 \]

2. Divide by -8: \[ h = \frac{-112}{-8} = 14 \]

Analyzing the Statements:

Now that we have \(h = 14\), let's assess each statement:

1. It cannot be a fraction or decimal because the depth of the well is a whole number.

   • False. While the depth is a whole number, there's no restriction in the equation itself that would prevent fractional or decimal hours, although in this case it happens to be a whole number.

2. It must be a positive number since it represents a number of hours.

   • True. Since \(h = 14\) is positive, this statement is correct.

3. It must be a negative number because the depth is below sea level.

   • False. The depth below sea level refers to the depth of the well, which does not directly reflect on the hours it takes to dig.

4. It cannot be greater than –72 because that is the depth of the well.

   • False. The value of \(h\) as hours has no connection to being less than or greater than -72.

Conclusion:

The true statement about Pieter’s solution is:

\[ \text{It must be a positive number since it represents a number of hours.} \]