Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. \[\begin{array} { l } 8 x - 9 y = 7 \\ \frac { 4 } { 3 } x + \frac { 1 } { 2 } y = - 3 \end{array}\]

A) perpendicular B) neither C) parallel A) perpendicular B) neither C) parallel

Exam 2: Linear Equations in Two Variables and Functions

A manufacturing company produces plastic pipe used in wastewater treatment applications. The pipe measures 4 inches in diameter and is cut to 10-foot lengths. The manufacturers fixed costs are $8000 per month (The fixed cost is the cost to operate the company even if it produces no pipe. It Includes rent, debt payments, salaries, etc.). It costs an additional $1.45 for each unit of pipe produced. The overall monthly production costs are described by the linear equation $y = 1.45 x + 8000$ where y represents the total monthly operating cost and x represents the number of units of pipe Produced. What does the y-intercept mean in the context of this problem?

(Multiple Choice)

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Question 121

Use the slope formula to determine the slope of the line containing the two points. (3, 0) and (0, -5)

(Multiple Choice)

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Question 122

The S-Cargo shipping company calculates shipping charges using the linear model y = 2.72x, Where y is the cost in dollars and x is the weight of the package in pounds $( 1 \leq x \leq 9 )$ . Use the linear Model to compute weight of a package with a shipping cost of $21.76. Round to the nearest Hundredth of a pound, if necessary.

(Multiple Choice)

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Question 123

Find the domain of the function. Write your answer in interval notation. $g ( y ) = \sqrt { y - 6 }$

(Multiple Choice)

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Question 124

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line contains the point $( 1,10 )$ and is parallel to $2 y - 12 x = 12$ .

(Multiple Choice)

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Question 125

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 2y=9x-3 8x=7y+4

(Multiple Choice)

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Question 126

A tool rental store charges a flat fee of $4.00 to rent a chain saw, and $5.25 for each day, including the first. Use a linear equation to find the cost of renting the saw for one week.

(Multiple Choice)

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Question 127

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 1.125x=0.375y+2 y+9=3x

(Multiple Choice)

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Question 128

Points are collinear if they lie on the same line. Use the slope formula to determine if thepoints are collinear. (-5, -2), (-6, -3), (7, 3)

(Multiple Choice)

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Question 129

The figure represents the average credit card debt for selected households in Silerville. Let y represent the credit card debt in dollars. Let x represent the year, where x = 0 corresponds to the year 1990, x = 4 represents 1994, and so on. a. Use the ordered pairs given in the graph, (0, 3299) and (16, 7415) to find a linear equation to estimate the average credit card debt versus the year. Round the slope to the nearest tenth. b. Use the model from (a) to estimate the average debt in 2003. Round to the nearest dollar. c. Interpret the slope of the model in the context of this problem.

(Essay)

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Question 130

The height (in feet) of a ball that is dropped from a 150-ft building is given byh(t) = -16t2 + 150, where t is the time in seconds after the ball is dropped. Find h(2) and interpret its meaning. Round your answer to the nearest hundredth.

(Multiple Choice)

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Question 131

For over 20 years, the population of Tressel, Ohio has been increasing linearly according to the function $P ( t ) = 400 t + 8500$ where P is the number of residents, and t is years after 1980. Compute P(22) and interpret its meaning in the context of this problem.

(Short Answer)

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Question 132

The S-Cargo shipping company calculates shipping charges using the linear model y = 2.71x, Where y is the cost in dollars and x is the weight of the package in pounds $( 1 \leq x \leq 11 )$ . Use the linear Model to compute the shipping cost for a package weighing 2 lb. Round to the nearest cent.

(Multiple Choice)

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Question 133

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line contains the point $( - 3 , - 4 )$ and is perpendicular to a line with a slope of $\frac { 3 } { 5 }$ .

(Multiple Choice)

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Question 134

Find the domain. Write the answer in interval notation. $p ( t ) = 2 t ^ { 2 } + 3 t - 14$

(Multiple Choice)

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Question 135

If a plane loses 1200 feet in altitude over a horizontal distance of 9000 feet, what is the slope?

(Multiple Choice)

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Question 136

Sketch a graph by completing the table and plotting points. q(x)= -2 -1 0 1 2 q( )

(Short Answer)

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Question 137

Determine if the function is constant, linear, quadratic, or none of these. $z ( x ) = 1 + 6 x ^ { 2 } + 4 x$

(Multiple Choice)

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Question 138

Find the domain and range of the relation. Use interval notation where appropriate.

(Multiple Choice)

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Question 139

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 8x-9y=7 x+y=-3

(Multiple Choice)

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Question 140

Showing 121 - 140 of 140

Use the slope formula to determine the slope of the line containing the two points. (3, 0) and (0, -5)

Find the domain of the function. Write your answer in interval notation. $g ( y ) = \sqrt { y - 6 }$

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line contains the point $( 1,10 )$ and is parallel to $2 y - 12 x = 12$ .

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 2y=9x-3 8x=7y+4

A tool rental store charges a flat fee of $4.00 to rent a chain saw, and $5.25 for each day, including the first. Use a linear equation to find the cost of renting the saw for one week.

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 1.125x=0.375y+2 y+9=3x

Points are collinear if they lie on the same line. Use the slope formula to determine if thepoints are collinear. (-5, -2), (-6, -3), (7, 3)

The height (in feet) of a ball that is dropped from a 150-ft building is given byh(t) = -16t2 + 150, where t is the time in seconds after the ball is dropped. Find h(2) and interpret its meaning. Round your answer to the nearest hundredth.

For over 20 years, the population of Tressel, Ohio has been increasing linearly according to the function $P ( t ) = 400 t + 8500$ where P is the number of residents, and t is years after 1980. Compute P(22) and interpret its meaning in the context of this problem.

The S-Cargo shipping company calculates shipping charges using the linear model y = 2.71x, Where y is the cost in dollars and x is the weight of the package in pounds $( 1 \leq x \leq 11 )$ . Use the linear Model to compute the shipping cost for a package weighing 2 lb. Round to the nearest cent.

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line contains the point $( - 3 , - 4 )$ and is perpendicular to a line with a slope of $\frac { 3 } { 5 }$ .

Find the domain. Write the answer in interval notation. $p ( t ) = 2 t ^ { 2 } + 3 t - 14$

If a plane loses 1200 feet in altitude over a horizontal distance of 9000 feet, what is the slope?

Sketch a graph by completing the table and plotting points. q(x)= -2 -1 0 1 2 q( )

Determine if the function is constant, linear, quadratic, or none of these. $z ( x ) = 1 + 6 x ^ { 2 } + 4 x$

Find the domain and range of the relation. Use interval notation where appropriate.

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 8x-9y=7 x+y=-3

Linear Equations and Inequalities in One Variable

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Exam 2: Linear Equations in Two Variables and Functions

Use the slope formula to determine the slope of the line containing the two points. (3, 0) and (0, -5)

Find the domain of the function. Write your answer in interval notation. g(y)=y−6g ( y ) = \sqrt { y - 6 }g(y)=y−6​

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line contains the point (1,10)( 1,10 )(1,10) and is parallel to 2y−12x=122 y - 12 x = 122y−12x=12 .

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 2y=9x-3 8x=7y+4

A tool rental store charges a flat fee of $4.00 to rent a chain saw, and $5.25 for each day, including the first. Use a linear equation to find the cost of renting the saw for one week.

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 1.125x=0.375y+2 y+9=3x

Points are collinear if they lie on the same line. Use the slope formula to determine if thepoints are collinear. (-5, -2), (-6, -3), (7, 3)

The height (in feet) of a ball that is dropped from a 150-ft building is given byh(t) = -16t2 + 150, where t is the time in seconds after the ball is dropped. Find h(2) and interpret its meaning. Round your answer to the nearest hundredth.

For over 20 years, the population of Tressel, Ohio has been increasing linearly according to the function P(t)=400t+8500P ( t ) = 400 t + 8500P(t)=400t+8500 where P is the number of residents, and t is years after 1980. Compute P(22) and interpret its meaning in the context of this problem.

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line contains the point (−3,−4)( - 3 , - 4 )(−3,−4) and is perpendicular to a line with a slope of 35\frac { 3 } { 5 }53​ .

Find the domain. Write the answer in interval notation. p(t)=2t2+3t−14p ( t ) = 2 t ^ { 2 } + 3 t - 14p(t)=2t2+3t−14

If a plane loses 1200 feet in altitude over a horizontal distance of 9000 feet, what is the slope?

Sketch a graph by completing the table and plotting points. q(x)= -2 -1 0 1 2 q( )

Determine if the function is constant, linear, quadratic, or none of these. z(x)=1+6x2+4xz ( x ) = 1 + 6 x ^ { 2 } + 4 xz(x)=1+6x2+4x

Find the domain and range of the relation. Use interval notation where appropriate.

Determine if the lines are parallel, perpendicular, or neither parallel nor perpendicular. 8x-9y=7 x+y=-3

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

Filters

Find the domain of the function. Write your answer in interval notation. $g ( y ) = \sqrt { y - 6 }$

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line contains the point $( 1,10 )$ and is parallel to $2 y - 12 x = 12$ .

For over 20 years, the population of Tressel, Ohio has been increasing linearly according to the function $P ( t ) = 400 t + 8500$ where P is the number of residents, and t is years after 1980. Compute P(22) and interpret its meaning in the context of this problem.

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form. The line contains the point $( - 3 , - 4 )$ and is perpendicular to a line with a slope of $\frac { 3 } { 5 }$ .

Find the domain. Write the answer in interval notation. $p ( t ) = 2 t ^ { 2 } + 3 t - 14$

Determine if the function is constant, linear, quadratic, or none of these. $z ( x ) = 1 + 6 x ^ { 2 } + 4 x$