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Questions and Answers of College Algebra

In Problems 73–78, use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution (a double root), or no real solution, without solving
In Problems 73–78, use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution (a double root), or no real solution, without solving
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula. 2x x - 3 + X 4
In Problems 19–68, solve each equation, if possible. 2 у +3 + 3 у - 4 5 у + 6
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula. 3x x - 2 + X = 4
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula. 4 + X 1 X² = 0
In Problems 19–68, solve each equation, if possible. -4 2x + 3 1 x - 1 1 (2x + 3)(x - 1)
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula. 8 3 2+ + X = 0 =
In Problems 19–68, solve each equation, if possible. 4 x - 2 -3 x + 5 + 7 (x + 5)(x - 2)
In Problems 67–72, find the real solutions, if any, of each equation. Use the quadratic formula and a calculator. Express any solutions rounded to two decimal places. x2 + 3.9x + 1.8 = 0
In Problems 19–68, solve each equation, if possible. 6t + 7 4t 1 3t + 8 2t - 4
In Problems 67–72, find the real solutions, if any, of each equation. Use the quadratic formula and a calculator. Express any solutions rounded to two decimal places. x2 - 4.1x + 2.2 = 0
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula.3x(x + 2) = 1
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula.2x(x + 2) = 3
Judy and Tom agree to share the cost of an $18 pizza based on how much each ate. If Tom ate 2/3 the amount that Judy ate, how much should each pay? Tom's portion Judy's portion
A regular hexagon is inscribed in a circle. Find the radius of the circle if the perimeter of the hexagon is 10 inches more than the radius.
Tyshira tracks her net calories (calories taken in minus calories burned) as part of her fitness program. For one particular day, her net intake was 1480 calories. Her lunch calories were half her
Find the largest perimeter of an isosceles triangle whose sides are of lengths 4x + 10, 2x + 40, and 3x + 18.
Rework Problem 103 if the reduction is to be 20%. Data in Problem 103A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width, and 3 centimeters
A jumbo chocolate bar with a rectangular shape measures 12 centimeters in length, 7 centimeters in width, and 3 centimeters in thickness. Due to escalating costs of cocoa, management decides to
A landscaper, who just completed a rectangular flower garden measuring 6 feet by 10 feet, orders 1 cubic yard of premixed cement, all of which is to be used to create a border of uniform width around
A contractor orders 8 cubic yards of premixed cement, all of which is to be used to pour a patio that will be 4 inches thick. If the length of the patio is specified to be twice the width, what will
A fraternity wants to buy a new LED Smart TV that costs $1470. If 7 members of the fraternity are not able to contribute, the share for the remaining members increases by $5. How many members are in
The difference, d, in median earnings, in $1000s, between high school graduates and college graduates can be approximated by d = -0.012x2 + 0.828x + 15.750, where x is the number of years after 1980.
According to some medical advisors, a body mass index (BMI) between 19 and 25 suggests a healthful weight. Use the formulato find the weight range w, to the nearest pound, that gives a healthful BMI
Find four consecutive integers such that the sum of the last three is 86 more than the first.
Solve the linear equation. Graph the solution set on a number line. 5(x + 3)2(x-4)= 2(x + 7)
To achieve the maximum benefit from exercising, the heart rate, in beats per minute, should be in the target heart rate (THR) zone. For a person aged A, the formula is as follows.Find the THR to the
Graph all the solution sets of the equation and inequalities in Exercises 85 – 87 on the same number line. What set do we obtain?Data from in Exercises 85 – 87 5(x + 3)2(x-4) = 2(x + 7) - 5(x +
Latrice is signing up for cell phone service. She must decide between Plan A, which costs $54.99 per month with a free phone included, and Plan B, which costs $49.99 per month, but would require her
Newlyweds Bryce and Lauren need to move their belongings to their new apartment. They can rent a truck from U-Haul for $29.95 per day plus 28 cents per mile or from Budget Truck Rentals for $34.95
A product will produce a profit only when the revenue R from selling the product exceeds the cost C of producing it. Find the least whole number of units x that must be sold for the business to show
Scott scored 92 and 96 on his first two tests in “Methods in Teaching Mathematics.” What score must he make on his third test to keep an average of 90 or greater?
A product will produce a profit only when the revenue R from selling the product exceeds the cost C of producing it. Find the least whole number of units x that must be sold for the business to show
Bonnie earned scores of 90 and 82 on her first two tests in English literature. What score must she make on her third test to keep an average of 84 or greater?
Complete the following:The solution set of -3(x + 2) = 3x + 12 is _________.The solution set of -3(x + 2) < 3x + 12 is _________.Therefore, the solution set of -3(x + 2) > 3x + 12 is _________.
The average monthly precipitation for Honolulu, HI, for October, November, and December is 3.11 in. If 2.98 in. falls in October and 3.05 in. falls in November, how many inches must fall in December
The average monthly precipitation for Dallas, TX, for October, November, and December is 3.47 in. If 2.88 in. falls in October and 3.13 in. falls in November, how many inches must fall in December so
Solve each inequality. Graph the solution set, and write it using interval notation. -4 ≤ 2 - 4x 3 ≤0
To pass Algebra II requires an average of at least 70 on four tests. A student has scores of 80, 62, and 73. What possible scores on the fourth test would guarantee this student a passing score in
To earn a B in an algebra course requires an average of at least 80 on five tests. A student has scores of 75, 91, 82, and 74. What possible scores on the fifth test would guarantee this student a B
Solve each inequality. Graph the solution set, and write it using interval notation. -5≤ 6 – 5r 5x 2 ≤0
Solve each inequality. Graph the solution set, and write it using interval notation. -3 < 3 4 x < 6
Give, in interval notation, the unknown numbers in each description.Three times a number, minus 5, is no more than 7.
Solve each inequality. Graph the solution set, and write it using interval notation. -3 ≤ 3x + 4 1
Give, in interval notation, the unknown numbers in each description.One third of a number is added to 6, giving a result of at least 3.
Solve each inequality. Graph the solution set, and write it using interval notation. -1≤ 2x - 5 9 VI 5
Give, in interval notation, the unknown numbers in each description.If 8 is subtracted from a number, then the result is at least 5.
Solve each inequality. Graph the solution set, and write it using interval notation. VI -12 ≤ -6x + 3 ≤ 15
Solve each inequality. Graph the solution set, and write it using interval notation. 2 -4
Give, in interval notation, the unknown numbers in each description.When 1 is added to twice a number, the result is greater than or equal to 7.
Solve each inequality. Graph the solution set, and write it using interval notation. -8-4x + 2 ≤6
Give, in interval notation, the unknown numbers in each description.Half a number is between -3 and 2.
Give, in interval notation, the unknown numbers in each description.Six times a number is between -12 and 12.
Solve each inequality. Graph the solution set, and write it using interval notation. -16 < 3x + 2 < -10
Give, in interval notation, the unknown numbers in each description.A number is between -3 and -2.
Give, in interval notation, the unknown numbers in each description.A number is between 0 and 1.
Solve each inequality. Graph the solution set, and write it using interval notation. 4≤2x + 3 < 8
Solve for the measure of the unknown angle marked y° in FIGURE B. 60° FIGURE B yo
Solve each inequality. Graph the solution set, and write it using interval notation. 49x + 5
Solve each inequality. Graph the solution set, and write it using interval notation. -19 = 3x - 5 = 1
Solve for the measures of the unknown angles in FIGURE A. to 2pº FIGURE A 60°
Solve each inequality. Graph the solution set, and write it using interval notation. -15 < 3x + 6 < -12
Solve each inequality. Graph the solution set, and write it using interval notation. -6 ≤ 2x + 4 ≤ 16
Solve each inequality. Graph the solution set, and write it using interval notation. -4 ≤ x + 3 ≤ 10
Solve each inequality. Graph the solution set, and write it using interval notation. -9≤x+5≤ 15
Solve each inequality. Graph the solution set, and write it using interval notation. -1
Solve each inequality. Graph the solution set, and write it using interval notation. ਗਲ+ਬੜਿਆ। x + 3 < 8( 1
Solve each inequality. Graph the solution set, and write it using interval notation. -4 −4 < x-5 < 6
Solve each inequality. Graph the solution set, and write it using interval notation. 10+2) 10+1 <
Solve each inequality. Graph the solution set, and write it using interval notation. 7(4 – x)+5x
If I add my current age to the age I will be next year on this date, the sum is 129 yr. How old will I be 5 yr from today? October Sun 7 14 21 28 Mon 1 8 15 Tue Wed 2 3 29 9 10 16 17 22 23
If I add my current age to the age I will be next year on this date, the sum is 103 yr. How old will I be 10 yr from today? October Sun 7 14 21 28 Mon 1 8 15 Tue Wed 2 3 29 9 10 16 17 22 23
Find three consecutive odd integers such that the sum of the least integer and the greatest integer is 13 more than the middle integer.
Find three consecutive odd integers such that the sum of the least integer and the middle integer is 19 more than the greatest integer.
Solve each inequality. Graph the solution set, and write it using interval notation. 3(2x 4) 4x < 2x + 3 -
Find three consecutive even integers such that the sum of the least integer and the greatest integer is 12 more than the middle integer.
Solve each inequality. Graph the solution set, and write it using interval notation. 3 5 (1-2) - (21-7)=3 4
Find three consecutive even integers such that the sum of the least integer and the middle integer is 26 more than the greatest integer.
Solve each inequality. Graph the solution set, and write it using interval notation. 1 - 4 3 (p+6) +(2p - 5) < 10
Solve each inequality. Graph the solution set, and write it using interval notation. 7 (10x - 1) < (6x 2 -(6x + 5) 3
Find four consecutive integers such that the sum of the first three is 54 more than the fourth.
Find three consecutive integers such that the sum of the first and twice the third is 39 more than twice the second.
Find three consecutive integers such that the sum of the first and twice the second is 17 more than twice the third.
In the following problems, the angles marked with variable expressions are vertical angles. It is shown in geometry that vertical angles have equal measures. Find the measure of each angle. (9 –
In the following problems, the angles marked with variable expressions are vertical angles. It is shown in geometry that vertical angles have equal measures. Find the measure of each angle. (7x +
Solve each inequality. Graph the solution set, and write it using interval notation. -(4+ r) + 2-3r< -14
Solve each inequality. Graph the solution set, and write it using interval notation. 2x - 5 -4 > 5
Solve each inequality. Graph the solution set, and write it using interval notation. 3k 1 4 > 5
Solve each inequality. Graph the solution set, and write it using interval notation. −2.5x = −1.25
Solve each inequality. Graph the solution set, and write it using interval notation. 5x+2 = -48
A train leaves Kansas City, Kansas, and travels north at 85 km per hr. Another train leaves at the same time and travels south at 95 km per hr. How long will it take before they are 315 km apart?
Two angles whose sum is 180° are supplementary angles. Find the measures of the supplementary angles shown in each figure. (3x + 1)º (7x +49)⁰
Solve each inequality. Graph the solution set, and write it using interval notation. 2 3 (3x − 1) = (2x - 3) -
Two angles whose sum is 180° are supplementary angles. Find the measures of the supplementary angles shown in each figure. (3x + 5)° (5x+15)°
Solve each inequality. Graph the solution set, and write it using interval notation. -2(x + 4) ≤ 6x + 16
Two angles whose sum is 90° are complementary angles. Find the measures of the complementary angles shown in each figure. (3x −9)° (6x)°
Solve each inequality. Graph the solution set, and write it using interval notation. -3(x-6) 2x - 2
Two angles whose sum is 90° are complementary angles. Find the measures of the complementary angles shown in each figure. (5x – 1)° (2x)° 7
Solve each inequality. Graph the solution set, and write it using interval notation. x - 3(x + 1) ≤ 4x

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