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Question

Find the zeros of the graph. Enter the smaller value first.

(1 point)
Zero #1: x=

Zero #2: x=

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The graph represents the cost of a taxi ride dependent upon the number of miles driven. Write an equation in slope-intercept form. What values are needed to complete the equation?

(1 point)
The slope-intercept form of the equation for the line is y =
x +

Which of the following lines is perpendicular to the x-axis?(1 point)
Responses

y=1
y is equal to 1

y=x
y is equal to x

x=1
x is equal to 1

x=−y

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Which equation matches the inequality in the given graph?

(1 point)
Responses

y≥4/5x−3
y is greater than or equal to 4 fifths x minus 3

y>4/5x−3
y is greater than 4 fifths x minus 3

y≤4/5x−3
y is less than or equal to 4 fifths x minus 3

y<4/5x−3

Rewrite the equation 3x+y=7
in slope-intercept form to select the statement that correctly describes the system of equations

Statement #1: The system of equations has no solutions because the graphs of the two equations are parallel lines.

Statement #2: The system of equations has an infinite number of solutions because the graphs of the two equations occupy the same line.

(2 points)
The equation 3x+y=7
is y=

in slope intercept form, which means that statement #
describes the system of equations.

Abby and Anita receive water service from two different companies. Anita’s water service costs 30 cents per gallon per month and has a service charge of $25 per month. Abby’s water service costs 10 cents per gallon per month and has a service charge of $35 per month. Let x
represent the number of gallons of water per month and y
represent the monthly cost. Write the equations that make up the system of equations for this scenario.(1 point)
Anita’s water bill can be modeled with the equation y=


Abby’s water bill can be modeled with the equation y=

Solve the following system of equations using the elimination method.

2x+y=3.5

−x+2y=2.5
(1 point)
(
,
)

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Which of the points on the graph is a solution for the simultaneous inequalities y>4x−2
and y≥−1/3x+2?
Enter the x-value followed by the y-value.

(1 point)
(
,
)

The equation y = −3 is a function.(1 point)
Responses

True
True

False

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The graph illustrates how much Amanda makes babysitting her little cousins. Using the graph, predict how much Amanda will make if she babysits them for eight hours.

(1 point)
Responses

$80
$80

$125
$125

$120
$120

$85

Answer 1

It seems you're working through a series of math questions involving graphs and equations. Let me help you with the prompts step by step:

1. Finding the Zeros of the Graph: In order to find the zeros of the graph, you would typically look for the x-values where the graph intersects the x-axis (y=0). Without the actual graph, I cannot provide specific values.

   Zero #1: x = (smaller value) Zero #2: x = (larger value)

2. Slope-Intercept Form: The slope-intercept form of an equation is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. Again, without the specific values displayed on the graph, I cannot provide the numbers here.

   The slope-intercept form of the equation: \(y = mx + b\)

3. Perpendicular to the x-axis: The line that is perpendicular to the x-axis is a vertical line. The correct response is:

   • x = 1

4. Matching Inequality to Given Graph: Without the graph, I cannot tell which inequality matches. The one that matches would depend on the shading (above or below) and the type of line (solid or dashed) used in the graph.

5. Rewriting the Equation in Slope-Intercept Form: Rearranging \(3x + y = 7\) gives: \[ y = -3x + 7 \] Now let’s choose the corresponding statement. If you determine there are parallel lines after finding another equation in the same form, that would lead to Statement #1 regarding no solutions.

6. System of Equations for Water Bills: For Anita and Abby:

   • Anita’s water bill: \(y = 0.30x + 25\)
   • Abby’s water bill: \(y = 0.10x + 35\)

7. Solving the System of Equations: To solve: \[ 2x + y = 3.5 \] \[ -x + 2y = 2.5 \] Using the elimination method, you would manipulate these equations to eliminate one variable and solve for the other.

8. Finding Solutions for Simultaneous Inequalities: For the inequalities \(y > 4x - 2\) and \(y \geq -\frac{1}{3}x + 2\), you would look for the point that satisfies both inequalities. I cannot provide a specific answer without the graph.

9. Function Statement: The statement "The equation \(y = -3\) is a function" is True because it is a horizontal line, which meets the criteria for a function (each input has exactly one output).

10. Predicting Income Based on Hours Worked: Without the graph showing Amanda's earnings, I can't predict how much she will make babysitting for eight hours. You would identify how much she earns per hour from the graph before making that prediction.

If you provide more specific details or images relating to these questions, I'd be glad to give more accurate answers!