Precalculus: Graphical, Numerical, Algebraic 8th Edition solutions

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1 and 2, find the endpoints and state whether the interval is bounded or unbounded. [0, 5]

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1 and 2, find the endpoints and state whether the interval is bounded or unbounded. \((2, \infty)\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Use the distributive property to write the expanded form of \(2\left(x^{2}-x\right)\).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Use the distributive property to write the factored form of \(2 x^{3}+4 x^{2}\).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5 and 6, simplify the expression. Assume that denominators are not zero. \(\frac{\left(u v^{2}\right)^{3}}{v^{2} u^{3}}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5 and 6, simplify the expression. Assume that denominators are not zero. \(\left(3 x^{2} y^{3}\right)^{-2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7 and 8, write the number in scientific notation. The mean distance from Pluto to the Sun is about 3,680,000,000 miles.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7 and 8, write the number in scientific notation. The diameter of a red blood corpuscle is about 0.000007 meter.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 9 and 10, write the number in decimal form. Our solar system is about \(5 \times 10^{9}\) years old.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 9 and 10, write the number in decimal form. The mass of an electron is about \(9.1094 \times 10^{-28}\) g (gram).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
The data in Table P.9 give the Fiscal 2009 final budget for some Department of Education programs. Using scientific notation and no calculator, write the amount in dollars for the programs. (a) Title 1 district grants (b) Title 1 school improvement grants (c) IDEA state grants

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Find the decimal form for -5/11 . State whether it repeats or terminates.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 13 and 14, find (a) the distance between the points and (b) the midpoint of the line segment determined by the points. -5 and 14

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 13 and 14, find (a) the distance between the points and (b) the midpoint of the line segment determined by the points. (-4, 3) and (5, -1)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 15 and 16, show that the figure determined by the points is the indicated type. Right triangle: (-2, 1), (3, 11), (7, 9)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 15 and 16, show that the figure determined by the points is the indicated type. Equilateral triangle: (0, 1), (4, 1), \((2,1-2 \sqrt{3})\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 17 and 18, find the standard form equation for the circle. Center (0, 0), radius 2

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 17 and 18, find the standard form equation for the circle. Center (5, -3), radius 4

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 19 and 20, find the center and radius of the circle. \((x+5)^{2}+(y+4)^{2}=9\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 19 and 20, find the center and radius of the circle. \(x^{2}+y^{2}=1\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
(a) Find the length of the sides of the triangle in the figure. (b) Writing to Learn Show that the triangle is a right triangle.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Distance and Absolute Value Use absolute value notation to write the statement that the distance between z and -3 is less than or equal to 1.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Finding a Line Segment with Given Midpoint Let (3, 5) be the midpoint of the line segment with endpoints and (-1,1) and (a, b). Determine a and b.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Finding Slope Find the slope of the line through the point (-1, -2) and (4, -5).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Finding Point-Slope Form Equation Find an equation in point-slope form for the line through the point (2, -1) with slope m = -?.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Find an equation of the line through the points (-5, 4) and (2, -5) in the general form Ax + By + C = 0.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2732, find an equation in slope-intercept form for the line. The line through (3, -2) with slope m = 4/5

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2732, find an equation in slope-intercept form for the line. The line through the points (-1, -4) and (3, 2)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2732, find an equation in slope-intercept form for the line. The line through (-2, 4) with slope m = 0

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2732, find an equation in slope-intercept form for the line. The line 3x - 4y = 7

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2732, find an equation in slope-intercept form for the line. The line through (2, -3) and parallel to the line 2x + 5y = 3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2732, find an equation in slope-intercept form for the line. The line through (2, -3) and perpendicular to the line 2x + 5y = 3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
SAT Math Scores The SAT scores are measured on an 800-point scale. The data in Table P.10 show the average SAT math score for several years. (a) Let x = 0 represent 2000, x = 1 represent 2001, and so forth. Draw a scatter plot of the data. (b) Use the 2001 and 2006 data to write a li

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Consider the point (-6, 3) and Line L: 4x - 3y = 5. Write an equation (a) for the line passing through this point and parallel to L, and (b) for the line passing through this point and perpendicular to L. Support your work graphically.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 35 and 36, assume that each graph contains the origin and the upper right-hand corner of the viewing window. Find the slope of the line in the figure.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 35 and 36, assume that each graph contains the origin and the upper right-hand corner of the viewing window. Writing to Learn Which line has the greater slope? Explain.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. 3x - 4 = 6x + 5

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(\frac{x-2}{3}+\frac{x+5}{2}=\frac{1}{3}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. 2(5 - 2y) - 3(1 - y) = y + 1

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(3(3 x-1)^{2}-21\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(x^{2}-4 x-3=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(16 x^{2}-24 x+7=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(6 x^{2}+7 x=3\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(2 x^{2}+8 x=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. x(2x + 5) = 4(x + 7)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. |4x + 1| = 3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(4 x^{2}-20 x+25=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(-9 x^{2}+12 x-4=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(x^{2}=3 x\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(4 x^{2}-4 x+2=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(x^{2}-6 x+13=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3752, solve the equation algebraically without using a calculator. \(x^{2}-2 x+4=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Completing the Square Use completing the square to solve the equation \(2 x^{2}-3 x-1=0\).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Quadratic Formula Use the quadratic formula to solve the equation \(3 x^{2}+4 x-1-0\).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5558, solve the equation graphically. \(3 x^{3}-19 x^{2}-14 x=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5558, solve the equation graphically. \(x^{3}+2 x^{2}-4 x-8=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5558, solve the equation graphically. \(x^{3}-2 x^{2}-2=0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5558, solve the equation graphically. \(|2 x-1|=4-x^{2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 59 and 60, solve the inequality and draw a number line graph of the solution. \(-2<x+4 \leq 7\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 59 and 60, solve the inequality and draw a number line graph of the solution. \(5 x+1 \geq 2 x-4\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(\frac{3 x-5}{4} \leq-1\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. |2x - 5| < 7

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(|3 x+4| \geq 2\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(4 x^{2}+3 x>10\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(2 x^{2}-2 x-1>0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(9 x^{2}-12 x-1 \leq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(x^{3}-9 x \leq 3\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(4 x^{3}-9 x+2>0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(\left|\frac{x+7}{5}\right|>2\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(2 x^{2}+3 x-35<0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(4 x^{2}+12 x+9 \geq 0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6172, solve the inequality. \(x^{2}-6 x+9<0\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7380, perform the indicated operation, and write the result in the standard form a + bi without using a calculator. (3 - 2i) + (-2 + 5i)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7380, perform the indicated operation, and write the result in the standard form a + bi without using a calculator. (5 - 7i) - (3 - 2i)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7380, perform the indicated operation, and write the result in the standard form a + bi without using a calculator. (1 + 2i)(3 - 2i)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7380, perform the indicated operation, and write the result in the standard form a + bi without using a calculator. \((1+i)^{3}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7380, perform the indicated operation, and write the result in the standard form a + bi without using a calculator. \((1+2 i)^{2}(1-2 i)^{2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7380, perform the indicated operation, and write the result in the standard form a + bi without using a calculator. \(i^{29}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7380, perform the indicated operation, and write the result in the standard form a + bi without using a calculator. \(\sqrt{-16}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 7380, perform the indicated operation, and write the result in the standard form a + bi without using a calculator. \(\frac{2+3 i}{1-5 i}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Projectile Motion A projectile is launched straight up from ground level with an initial velocity of 320 ft/sec. (a) When will the projectile's height above ground be 1538 ft? (b) When will the projectile's height above ground be at most 1538 ft? (c) When will the projectile's heig

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Navigation A commercial jet airplane climbs at takeoff with slope m = 4/9. How far in the horizontal direction will the airplane fly to reach an altitude of 20,000 ft above the takeoff point?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Connecting Algebra and Geometry Consider the collection of all rectangles that have length 1 cm more than three times their width w. (a) Find the possible widths (in cm) of these rectangles if their perimeters are less than or equal to 150 cm. (b) Find the possible widths (in cm) of th