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mathematics
college algebra graphs and models

Questions and Answers of College Algebra Graphs And Models

Find the slope-intercept form for the line in the figure. (-4,-2). 432 2 (3.1) 7 1234 X
Solve the equation and check your answer. 2x8=0
Solve the equation and check your answer. 4x8=0
Find the slope-intercept form for the line in the figure. (-2, 1.8) -3-2-1 ما با (1,0) 3
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. -2(x-10)+1>0
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. -4x3
Find the slope-intercept form for the line in the figure. 3 2 1 -3 -2-1 23
Find the slope-intercept form for the line in the figure.
Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 2(x - 3) = 4 - 5x
Write a formula for a linear function that models the situation. Choose both an appropriate name and an appropriate variable for the function. State what the input variable represents and the domain
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 2x + 6 = 10
Write a formula for a linear function that models the situation. Choose both an appropriate name and an appropriate variable for the function. State what the input variable represents and the domain
Find a point-slope form of the line satisfying the conditions. Use the first point given for (x1, y1). Then convert the equation to slope-intercept form, and write the formula for a function f whose
Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 7x5= 3(x-8)
Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 4x²-7=0
Write a formula for a linear function that models the situation. Choose both an appropriate name and an appropriate variable for the function. State what the input variable represents and the domain
Match the situation with the graph (a-d) that models it best, where x-values represent time.Distance between a runner in a race and the finish line a. y b. y Ÿ d.
Find a point-slope form of the line satisfying the conditions. Use the first point given for (x1, y1). Then convert the equation to slope-intercept form, and write the formula for a function f whose
Find a point-slope form of the line satisfying the conditions. Use the first point given for (x1, y1). Then convert the equation to slope-intercept form, and write the formula for a function f whose
Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 2√x + 2 = 1
Write a formula for a linear function that models the situation. Choose both an appropriate name and an appropriate variable for the function. State what the input variable represents and the domain
Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 100 23x = 20x : -
Match the situation with the graph (a-d) that models it best, where x-values represent time.Average cost of a new car from 1980 to 2010 a. y b. y Ÿ d.
Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 3x - 1.5 = 1
Match the situation with the graph (a-d) that models it best, where x-values represent time.Height of the Empire State Building from 1990 to 2010 a. y b. y Ÿ d.
Match the situation with the graph (a-d) that models it best, where x-values represent time.Amount of money earned after x hours when working at an hourly rate of pay a. y b. y Ÿ d.
Find a point-slope form of the line satisfying the conditions. Use the first point given for (x1, y1). Then convert the equation to slope-intercept form, and write the formula for a function f whose
An individual is driving a car along a straight road. The graph shows the driver's distance from home after x hours. (a) Use the graph to evaluate f(1.5) and f(4). (b) Interpret the slope of each
An individual is driving a car along a straight road. The graph shows the driver's distance from home after x hours. (a) Use the graph to evaluate f(1.5) and f(4). (b) Interpret the slope of each
Match each piecewise-defined function with its graph in choices a-d at the top of next column. f(x) = [-x+ 5 x² - 4 -x+ 5 if x < 0 if x ≥ 0
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. -7≤ 1 - 4x 7
Solve the equation and check your answer. | +2= #
Find the slope-intercept form for the line satisfying the conditions. Passing through (2) and
The graph of y = f(x) shows the amount of water y in thousands of gallons remaining in a swimming pool after x days. (a) Estimate the initial and final amounts of water in the pool. (b) When did
In January 2016, the retail flat rate in dollars for first-class mail weighing up to 5 ounces could be computed by the piecewise-constant function P, where x is the number of ounces.(a) Evaluate
Write a formula for a linear function that models the situation. Choose both an appropriate name and an appropriate variable for the function. State what the input variable represents and the domain
Find the constant of proportionality k and the undetermined value in the table if y is directly proportional to x.Cost y of buying x DVDs at the same price r y 3 $41.97 4 $55.96 5 ?
Solve the compound linear inequality graphically. Write the solution set in set-builder or interval notation, and approximate endpoints to the nearest tenth whenever appropriate. x-4 < 2x-5 < 6
Determine the x- and y-intercepts on the graph of the equation. Draw a conclusion about what the constants a and b represent in this form. 3+==1 5
Solve the compound linear inequality graphically. Write the solution set in set-builder or interval notation, and approximate endpoints to the nearest tenth whenever appropriate. 0.2x < 2x-5 3
Use the given graphs of y, and y, to solve each inequality. Write the solution set in interval notation. (a) y₁ = Y/2 (b) y₁ >y/2 (c) Y₁ = ₂
Find the constant of proportionality k and the undetermined value in the table if y is directly proportional to x.Sales tax y on a purchase of x dollars X $25 y $1.50 $55 $3.30 ? $5.10
Solve the linear equation with the x-intercept method. Check your answer. Approximate the solution to the nearest thousandth whenever appropriate. (+− x)= = x
Use the given graphs of y, and y, to solve each inequality. Write the solution set in interval notation. (a) y₁ = Y/2 (b) y₁ >y/2 (c) Y₁ = ₂
Solve the compound linear inequality graphically. Write the solution set in set-builder or interval notation, and approximate endpoints to the nearest tenth whenever appropriate. -3≤1-x ≤ 2x =
Solve the linear equation with the x-intercept method. Check your answer. Approximate the solution to the nearest thousandth whenever appropriate. -2 (3-2x) = 4x - (1-x)
Determine the x- and y-intercepts on the graph of the equation. Draw a conclusion about what the constants a and b represent in this form. 3 11 1
Solve the linear equation with the x-intercept method. Check your answer. Approximate the solution to the nearest thousandth whenever appropriate. x 3(x-4)=-(-3x) -
Use the given graphs of y, and y, to solve each inequality. Write the solution set in interval notation. (a) y₁ = Y/2 (b) y₁ >y/2 (c) Y₁ = ₂
Determine the x-and y-intercepts on the graph of the equation. Draw a conclusion about what the constants a and b represent in this form. 2x 3 5 1
Solve the linear equation with the x-intercept method. Check your answer. Approximate the solution to the nearest thousandth whenever appropriate. 6-x 7 2x - 3 3
Use the given graphs of y, and y, to solve each inequality. Write the solution set in interval notation. (a) y₁ = Y/2 (b) y₁ >y/2 (c) Y₁ = ₂
Determine the x-and y-intercepts on the graph of the equation. Draw a conclusion about what the constants a and b represent in this form. 5x 5/²6 - 12/23=16
Solve the linear equation with the x-intercept method. Check your answer. Approximate the solution to the nearest thousandth whenever appropriate. T(x - √2) = 1.07x - 6
Write the intercept form for the line with the given intercepts. x-intercept (5,0), y-intercept (0,9)
Use tables to solve the equation numerically to the nearest tenth. 1 - 6x = 7
Use tables to solve the equation numerically to the nearest tenth. 2x - 7 = -1
The cost of tuition is directly proportional to the number of credits taken. If 11 credits cost $720.50, find the cost of taking 16 credits. What is the constant of proportionality?
The maximum load that a horizontal beam can carry is directly proportional to its width. If a beam 1.5 inches wide can support a load of 250 pounds, find the load that a beam of the same type can
Stratospheric ozone occurs in the atmosphere between altitudes of 12 and 18 miles. Ozone in the stratosphere is frequently measured in Dobson units, where 300 Dobson units correspond to an ozone
Use tables to solve the equation numerically to the nearest tenth. 2x - 7= -5
Use the graph of y = f(x) to complete the following. (a) Identify the x- and y-intercepts. (b) Find the slope of the graph. (c) Give any zeros of f. (d) Identify the interval(s) where f is
Write the intercept form for the line with the given intercepts. x-intercept (,0), y-intercept (0, -2)
The weight of an object on Earth is directly proportional to the weight of an object on Mars. If a 25-pound object on Earth weighs 10 pounds on Mars, how much would a 195-pound astronaut weigh on
Suppose a 15-pound weight stretches a spring 8 inches, as shown in the figure.(a) Find the spring constant. (b) How far will a 25-pound weight stretch this spring? + from 15 lb 8 in.
The graphs of two linear functions f and g are shown. (a) Solve the equation g(x) = f(x). (b) Solve the inequality g(x) > f(x). y = g(x) y = f(x) 5 (8.7)
Use the graph of y = f(x) to complete the following. (a) Identify the x- and y-intercepts. (b) Find the slope of the graph. (c) Give any zeros of f. (d) Identify the interval(s) where f is
Use the graph of y = f(x) to complete the following. (a) Identify the x- and y-intercepts. (b) Find the slope of the graph. (c) Give any zeros of f. (d) Identify the interval(s) where f is
Use the graph of y = f(x) to complete the following. (a) Identify the x- and y-intercepts. (b) Find the slope of the graph. (c) Give any zeros of f. (d) Identify the interval(s) where f is
Use the graph of y = f(x) to complete the following. (a) Identify the x- and y-intercepts. (b) Find the slope of the graph. (c) Give any zeros of f. (d) Identify the interval(s) where f is
Use the figure to solve each equation or inequality. (a) f(x) = g(x) (b) g(x) = h(x) (c) f(x) (d) g(x) > h(x) 700 600 y = g(x) 500 400 300 200 100 y = f(x) y = h(x) 0 1 2 3 4 5 6
The table lists the force F needed to push a cargo box weighing x pounds on a wood floor.(a) Compute the ratio for each data pair in the table. Interpret these ratios. (b) Approximate a constant of
Use the graph of y = f(x) to complete the following. (a) Identify the x- and y-intercepts. (b) Find the slope of the graph. (c) Give any zeros of f. (d) Identify the interval(s) where f is
Use tables to solve the equation numerically to the nearest tenth. 5.8x 8.7 = 14.5
Use tables to solve the equation numerically to the nearest tenth. √2(4x - 1) + x = 0
Solve the equation (to the nearest tenth) (a) Symbolically, (b) Graphically, and (c) Numerically. 5- (x + 1) = 3
Use tables to solve the equation numerically to the nearest tenth. π (0.3x - 2) + √2x = 0
Assume y1 represents a linear function with the set of real numbers for its domain. Use the table at the top of the next column to solve the inequalities. Use set-builder notation. 1>0, y1 ≤
Use tables to solve the equation numerically to the nearest tenth. 0.5-0.1(√2-3x) = 0
Solve the equation (to the nearest tenth) (a) Symbolically, (b) Graphically, and (c) Numerically. 7- (3-2x) = 1
Solve the equation (to the nearest tenth) (a) Symbolically, (b) Graphically, and (c) Numerically. x3 = 2x + 1
Use tables to solve the equation numeri- cally to the nearest tenth. √5 - (T TT (π + 0.3x) = 0
Assume y1 represents a linear function with the set of real numbers for its domain. Use the table at the top of the next column to solve the inequalities. Use set-builder notation. 1 < 0,312
Solve each inequality numerically. Write the solution set in set-builder or interval notation, and approximate endpoints to the nearest tenth when appropriate. -4x60
The table lists ring size S for a finger with circumference x in centimeters.(a) Find a linear function S that models the data. of a finger with a ring size (b) Find the circumference of 6. x (cm) S
If an 80-pound force compresses a spring 3 inches, how much force must be applied to compress the spring 7 inches?
Solve each inequality numerically. Write the solution set in set-builder or interval notation, and approximate endpoints to the nearest tenth when appropriate. 1-2x ≥ 9
The table lists hat size H for a head with circumference x in inches.(a) Find a linear function S that models the data. (b) Find the circumference of a head with a hat size of 7(1/2). x (in.)
The table lists the percentage P of women in state legislatures during year x.(a) Find a linear function P that models the data. (b) Estimate this percentage in 2003 and compare the estimate to the
Solve the equation (to the nearest tenth) (a) Symbolically, (b) Graphically, and (c) Numerically. 3(x-1)=2x - 1
Solve each inequality numerically. Write the solution set in set-builder or interval notation, and approximate endpoints to the nearest tenth when appropriate. 1 ≤ 3x - 2 = 10 =
The table lists data that are exactly linear. (a) Find the slope-intercept form of the line that passes through these data points. (b) Predict y when x = -2.7 and 6.3. Decide if these calculations
The table lists data that are exactly linear. (a) Find the slope-intercept form of the line that passes through these data points. (b) Predict y when x = -2.7 and 6.3. Decide if these calculations
The electrical resistance of a wire varies directly with its length. If a 255-foot wire has a resistance of 1.2 ohms, find the resistance of 135 feet of the same type of wire. Interpret the constant
Solve each inequality numerically. Write the solution set in set-builder or interval notation, and approximate endpoints to the nearest tenth when appropriate. 3 4 V 2 - 5x 3 VI 3
Solve each inequality numerically. Write the solution set in set-builder or interval notation, and approximate endpoints to the nearest tenth when appropriate. -5
The table lists data that are exactly linear. (a) Find the slope-intercept form of the line that passes through these data points. (b) Predict y when x = -2.7 and 6.3. Decide if these cal-
Solve each inequality numerically. Write the solution set in set-builder or interval notation, and approximate endpoints to the nearest tenth when appropriate. 3x - 1 5 < 15
Explain what a piecewise-defined function is and why it is used. Sketch a graph of a continuous piecewise-linear function f that increases, decreases, and is constant. Let the domain of f be -4 ≤ x
Find a real data set on the Internet that can be modeled by a linear function. Find the linear modeling function. Is your model exact or approximate? Explain.

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