5. 8. -7. Study with Quizlet and memorize flashcards containing terms like Which is a coefficient matrix for the system of linear equations? mc014-1.jpg mc014-2.jpg mc014-3.jpg mc014-4.jpg mc014-5.jpg, What is the determinant of the coefficient matrix of the system ? -158 -117 65 117, Suppose matrix D is the inverse of matrix C. Therefore, it should look like this: (1/2 * 6X) + (1/2 * 2). This will simplify to 3X + 1. The issue with Angela's work was that, while she correctly simplified 1/2 * 6X to 3X, she incorrectly simplified 1/2 * 2 as 2, instead of the correct 1 value. Therefore, the correct statement about Angela's work is "Her product when multiplying is incorrect".Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Find all solutions of the equation $$|||||x|-1|-1|-1|-1|=0.$$ What I explained to the student: Given $|||||x|-1|-1|-1|-1|=0$, one can drop the outermost absolute value bars, and place …Click here 👆 to get an answer to your question ️ Use the identity below to complete the tasks: a3 + b3 = (a + b)(a2 - ab + b2) Use the identity for the sum o…Which of the following statements are true about the given rational equation? Check all of the boxes that apply. x = 1 is a solution. x = -1 is a solution. Which proportion is equivalent to the original equation? C. Name the true solution (s) to the equation. x=1 and x=8. Name the extraneous solution (s) to the equation.X = 1/15. Y = -7/6. Z = 9/70 Ans. Solution is available inside the attached file ( Please check doc. Or attached images )Answer. Exercise 9.7.4. Solve and write the solution in interval notation: 3x x − 4 < 2. Answer. In the next example, the numerator is always positive, so the sign of the rational expression depends on the sign of the denominator. Example 9.7.3. Solve and write the solution in interval notation: 5 x2 − 2x − 15 > 0.2x² + 6x + 9 = 0 comparing this equation with the general formula, we will find that: a = 2 b = 6 c = 9 Substituting with the values of a,b and c in the quadratic formula, we will find that that the solutions of this equation are and For the second choice: x² + 3x + 12 = 0 comparing this equation with the general formula, we will find that: a ...You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Suppose a transformation of the parent function mc^ (001)-1.jpg is given as mc^ (001)-2.jpg. Determine the effect the transformation has on the minimum of the function on the interval mc^ (001)-3.jpg. Suppose a transformation of the parent ...What is the horizontal asymptote of mc001-1.jpg? y=2. ... A student solves the following equation for all possible values of x: mc028-1.jpg His solution is as follows: Step 1: 8(x – 4) = 2(x + 2) Step 2: 4(x – 4) = (x + 2) ... He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.Check all of the boxes that apply. B. 4,5. If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions. The value of c could be 5 or any number greater than 5. Identify the graph of the inequality 2 (2x - 1) + 7 < 13 or -2x + 5 -10. C. Equations : Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations mc001-1.jpg so that you understand betterIn today’s fast-paced world, problem-solving skills are more important than ever. Whether it’s in your personal life or professional career, the ability to think critically and find solutions is highly valued. One way to enhance these skill...Click here 👆 to get an answer to your question ️ which graph represents the solutions for x^2+x-12>0 ... To solve the equation: x^2 + x -12> 0. by using cross method, we can find that 3 x -4 = -12 (x-3)(x+4) = 0. Therefore, x = …solve x = 4+ (4x -4) 1/2. (B) x=10. solve (2a^2+5a+2) ^1/2 =3. C. The speed that a tsunami (tidal wave) can travel is modeled by the equationmc001-1.jpgwhere S is the speed in kilometers per hour, and d is the average depth of the water in kilometers. A tsunami is traveling at 140 km/hr. May 8, 2018 · Which graph represents a system of equations with no solution? mc001-1.jpg mc001-2.jpg mc001-3.jpg. ... how do you solve 3x-5=2x+14. ... 5.0 (404) See more tutors. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result! The solve for x calculator allows you to enter your problem and solve the equation to see the result.Expert-Verified Answer. 10 people found it helpful. AFOKE88. 2. The solution of the given equation x² - 4x + 1 = 0 is; x = 2 ± √3. We are given; x² - 4x + 1 = 0. Using quadratic formula we have;2 days ago · A student showed the steps below while solving the inequality by graphing. Step 1:Write a system of equations: Step 2:Graph the two equations:Step 3:Identify the values of x for which :x = 3 or x = 5Step 4:Write the solution in interval notation:What is the first step in which the student made an error? NOT. Step 2, because the student should ... Study with Quizlet and memorize flashcards containing terms like Which is a coefficient matrix for the system of linear equations? mc014-1.jpg mc014-2.jpg mc014-3.jpg mc014-4.jpg mc014-5.jpg, What is the determinant of the coefficient matrix of the system ? -158 -117 65 117, Suppose matrix D is the inverse of matrix C. Which of the following is equal …Here we are looking to solve \(P(X \ge 1)\). There are two ways to solve this problem: the long way and the short way. The long way to solve for \(P(X \ge 1)\). This would be to solve \(P(x=1)+P(x=2)+P(x=3)\) as follows: \(P(x=1)=\dfrac{3!}{1!2!}0.2^1(0.8)^2=0.384\) \(P(x=2)=\dfrac{3!}{2!1!}0.2^2(0.8)^1=0.096\)How do you solve trigonometric inequalities? To solve trigonometric inequalities, use the properties of the trigonometric functions and algebraic manipulations to isolate the variable on one side of the inequality. Then, apply appropriate trigonometric function inverses to find the interval. Which of the following statements are true about the given rational equation? Check all of the boxes that apply. x = 1 is a solution. x = -1 is a solution. Which proportion is equivalent to the original equation? C. Name the true solution (s) to the equation. x=1 and x=8. Name the extraneous solution (s) to the equation. Equations : Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations mc002-1.jpg so that you understand better. Home; Topics; Add to Home; Contact; TigerMilk.Education GmbH ... Changes made to your input should not affect the solution: (1): "c0" was replaced by "c^0". (2): Dot was ...Find an answer to your question Choose the solution(s) of the following system of equations: x2 + y2 = 6 x2 – y = 6 no solution mr001-1. Jpg mr001-2. Jpg mr001-…Select all of the following that you included in your answer. The answer is not correct. The student did not use the quotient of powers property correctly. The student divided the exponents within the parentheses instead of subtracting. The correct simplified form is x to the two-fifths power. <3 Learn with flashcards, games, and more — for free.Terms in this set (50) Use completing the square to solve for mc024-1.jpg in the equation mc024-2.jpg. c x = 1 + 89. Solve for mc022-1.jpg in the equation mc022-2.jpg. d x= 1 + 47. Solve for mc018-1.jpg in the equation mc018-2.jpg. a x = 2 + 42. Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial?Moving data to the cloud from an on-prem data warehouse like Teradata is a hard problem to solve, especially if you’ve built custom applications that are based on that data. Datometry, a San Francisco startup, has developed a solution to so...Algebra -> Expressions-with-variables-> SOLUTION: A=1/2bh Solve for h. Log On Algebra: Expressions involving variables, substitution Section. Solvers Solvers. Lessons Lessons. Answers archive Answers : Click here to see ALL problems on Expressions-with-variables; Question 157880: A=1/2bh Solve for h. Found 2 solutions by MathLover1, nerdybill: …Check all of the boxes that apply. B. 4,5. If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions. The value of c could be 5 or any number greater than 5. Identify the graph of the inequality 2 (2x - 1) + 7 < 13 or -2x + 5 -10. C.C 1.4. We have an expert-written solution to this problem! Study with Quizlet and memorize flashcards containing terms like Which is equivalent to log2 n = 4, Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below. mc003-1.jpg Which expression could be Tyler's original expression?, What is ...Find an answer to your question Choose the solution(s) of the following system of equations: x2 + y2 = 6 x2 – y = 6 no solution mr001-1. Jpg mr001-2. Jpg mr001-…A. What is the simplest form of mc001-1.jpg. D. The gravitational force formula is mc001-1.jpg where F is the force between two objects, G is the constant of gravitation, m1 is the mass of the first object, m2 is the mass of the second object, and r is the distance between the objects.Since x squared cannot be less than a negative number, the function is undefined for all values of x. Study with Quizlet and memorize flashcards containing terms like Given f (x) = x - 2 andmc001-1.jpg which of the following values is not in the domain of mc001-2.jpg, Given f (x) = 3x - 5 and mc001-1.jpg what is mc001-2.jpg, Given mc001-1.jpg ... The measure of one angle is mc001-1.jpg the measure of the other angle. ... By: Tracy D. answered • 10/09/20. Tutor. 5.0 (126) Upbeat, patient Math Tutor investing in students to succeed. See tutors like this. See tutors like this. If the two angles form a linear pair, by definition, they add to 180°. Like another tutor indicated, there is no picture, but …To solve an absolute inequality first step is to isolate absolute value expression. Hence remove -4 from the left side. So, add 4 to each sides of the inequality. 2|x + 7|−4 ≥ 0 . 2|x + 7|−4 +4≥ 0 +4. 2|x + 7| ≥ 4 Combine the like terms. Divide each sides by 2. |x + 7| ≥2. Next step is to remove the absolute value sign. So, x + 7≥ ...1/12. 1/8. 6x - 2y = 28x + 3y = 14Explain how knowing how to find the least common multiple (LCM) of two numbers can help you solve the system of equations presented here by eliminating the x-terms. The LCM of 6 and 8 is 24. Knowing this, multiply the first equation by 4 and the second by −3 to get opposite coefficients.Kirk made the graph to show his prediction of a population of bacteria over time. Which function best models the data in the graph? mc001-1. jpg mc001-3. jpg mc001-2. jpg mc001-4. jpg Jana predicts that the population, y, will grow according to y = 12 log(x + 1) + 10, where x is the time in minutes.And inequality B: 2 x + 4 ≤18. 2x≤18 - 4. x≤14/2. x≤7. So if we combine the solutions of both inequalities we will get this. [-1,∞) ∩ (-∞,7]= [-1,7] If there is any confusion please leave a comment below.Trigonometry. Trigonometry questions and answers. Right triangle mc001-1.jpg has mc001-2.jpg, a = 6, and b = mc001-3.jpg. Use this information to find mc001-4.jpg.Moving data to the cloud from an on-prem data warehouse like Teradata is a hard problem to solve, especially if you’ve built custom applications that are based on that data. Datometry, a San Francisco startup, has developed a solution to so...What is the horizontal asymptote of mc001-1.jpg? y=2. ... A student solves the following equation for all possible values of x: mc028-1.jpg His solution is as follows: Step 1: 8(x – 4) = 2(x + 2) Step 2: 4(x – 4) = (x + 2) ... He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.The graph of y=h (x) is a transformation of the graph of y=f (x) Given that f (x) = (x + 2)³-3, write an expression for h (x) in terms of x. Steps: Use the divisor and find x : x - 1 = 0 **add 1 x= 1 Now we will use the 1 in dividing: take the coefficients from in front of all terms ** make sure you ….Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Skip to main content. ... Straight Line Slope = -1.333/2.000 = -0.667 x-intercept = 2/2 = 1 y-intercept = 2/3 = 0.66667 Rearrange: Rearrange the equation by subtracting what ...Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result! The solve for x calculator allows you to enter your problem and solve the equation to see the result. Study with Quizlet and memorize flashcards containing terms like Consider the following chemical reaction: 2CH4(g) es002-1.jpg C2H2(g) + 3H2(g) Describe what is happening within the system when it is at equilibrium in terms of concentrations, reactions that occur, and reaction rates., Identify the correct equilibrium constant expression for this equation: 2NO(g) + O2(g) <-> 2NO2(g), Identify ... Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Skip to main content. ... Straight Line Slope = -1.333/2.000 = -0.667 x-intercept = 2/2 = 1 y-intercept = 2/3 = 0.66667 Rearrange: Rearrange the equation by subtracting what ...Find the average value of the function mc001-1.jpg over the rectangle mc001-2.jpg. This problem has been solved! You'll get a detailed solution from a subject matter expert …The solution of the equation is . Further explanation: The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is . The polynomial function has n roots or zeroes. Given: The equation is . Explanation: The equation is a quadratic equation and has 2 solutions or zeros. Solve the equationStudy with Quizlet and memorize flashcards containing terms like Which is a coefficient matrix for the system of linear equations? mc014-1.jpg mc014-2.jpg mc014-3.jpg mc014-4.jpg mc014-5.jpg, What is the determinant of the coefficient matrix of the system ? -158 -117 65 117, Suppose matrix D is the inverse of matrix C. Which of the following is equal …5(x – 2)(x + 4) > 0. to solve this inequality , first we replace > symbol by = 5(x – 2)(x + 4) = 0. solve for x. 5(x-2)=0. x-2=0 so x= 2. x+4=0 so x= -4. Now we make a number line. use the x values and break the number line into three intervals-infinity to -4 , -4 to 2 , 2 to infinity. Pick a number from each interval and check with our ...Click here 👆 to get an answer to your question ️ What are the solutions of the equation mc001-1. Jpg?x = mc001-2. Jpgx = mc001-3. Jpgx = mc001-4. Jpgx = mc00….Select all that apply. A, E. Identify the value of r and a1 for each geometric series. 1.5, 2, 0.5, 8. 0.25 + 1 + 4 + 16 + 64. Enter the values used in finding a partial sum. 4, 0.25, 5. Select the explicit formula for the sequence.2 days ago · The graph shows the system of equations that can be used to solve mc007-1.jpg. A. Study with Quizlet and memorize flashcards containing terms like What are the roots of the polynomial equation? Use a graphing calculator and a system of equations., The polynomial equation mc020-1.jpg has complex roots mc020-2.jpg. 3x + 35 ≤ 8. 3x+4 > 6. 5 > 2x+3. 2x2 ≥ 50. Learn about inequalities using our free math solver with step-by-step solutions.Are you struggling with math and science concepts? Do you find it challenging to get your doubts clarified promptly? Look no further than the Doubtnut app. One of the most significant advantages of using the Doubtnut app is its instant doub...Equivalent equations are equations with equal values. The solution is: or . The equation is given as:. Take LCM. Multiply both sides by x. Cross multiply. Collect like terms. Expand. Factorize. Factor out x + 6. Split. or . Solve for xSee steps. Step by Step Solution. Reformatting the input : Changes made to your input should not affect the solution: (1): "c0" was replaced by "c^0". (2): Dot was discarded near "1.j". Step 1 : Trying to factor as a Difference of Squares : 1.1 Factoring: mc2-jpg. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. ... Popular Problems. Algebra. Multiply (x-1)(x-1) Step 1. Expand using the FOIL Method. Tap for more steps... Step 1.1. Apply the distributive property. Step 1.2. Apply the ...Which statements are true regarding undefinable terms in geometry? Select two options. A point's location on the coordinate plane is indicated by an ordered pair, (x, y). A point has one dimension, length. A line has length and width. A distance along a line must have no beginning or end. A plane consists of an infinite set of points.i cannot see what mc001-1.jpg is, but i assume it is a complex number. so according to the irrational root theorem, if a + √b is a root of a polynomial equation where a and b are rational numbers and √ b is an irrational number, then a - √ b is also a root the answer would be the complex number given with the opposite sign before √b.mc016-1.jpg x = –53, y = –2, z = 7 x = –41, y = –2, z = –7 x = … Get the answers you need, now! nramgoolam19 nramgoolam19 02.10.2018 Math Secondary School answered • expert verified What is the solution to the following system? mc016-1.jpg x = –53, y = –2, z = 7 x = –41, y = –2, z = –7 x = –11, y = –2, z = –7 x = 1 ...Extraneous solution: Step-by-step explanation: Part 1. You are given the equation . Note that. then the equation rewritten as proportion is . Part 2. Solve this equation using the main property of proportion: x cannot be equal 0 (it is placed in the denominator of the initial equation and denominator cannot be 0), so is extraneous solution to ...Here we are looking to solve \(P(X \ge 1)\). There are two ways to solve this problem: the long way and the short way. The long way to solve for \(P(X \ge 1)\). This would be to solve \(P(x=1)+P(x=2)+P(x=3)\) as follows: \(P(x=1)=\dfrac{3!}{1!2!}0.2^1(0.8)^2=0.384\) \(P(x=2)=\dfrac{3!}{2!1!}0.2^2(0.8)^1=0.096\)Equations : Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations mc002-1.jpg so that you understand better. Home; Topics; Add to Home; Contact; TigerMilk.Education GmbH ... Clear Solve. Formatting help. × ... Reformatting the input : Changes made to your input should not affect the solution: …Lessons. In depth. Click here to see ALL problems on Linear-systems. Question 883843: Match the graph with the correct equation. mc001-1.jpg. Answer by Alan3354 (69357) ( …In order to use the substitution method, we'll need to solve for either x or y in one of the equations. Let's solve for y in the second equation: − 2 x + y = 9 y = 2 x + 9. Now we can substitute the expression 2 x + 9 in for y in the first equation of our system: 7 x + 10 y = 36 7 x + 10 ( 2 x + 9) = 36 7 x + 20 x + 90 = 36 27 x + 90 = 36 3 x ...Nov 4, 2016 · How do I evaluate -7 5/6 + (-7 1/4) HELP PLSS WHICH ONE IS IT!!Question 7 (3.03): Use the graph representing bacteria decay to estimate the domain of the function and solve for the Three line segments intersect, forming angles with measures of 30,140 and x respectively.What is the value of x . Thus, the solution above confirms that the two expressions are equivalent. In conclusion, two expressions are equivalent provided that we may rewrite either one or …Find the average value of the function mc001-1.jpg over the rectangle mc001-2.jpg. This problem has been solved! You'll get a detailed solution from a subject matter expert …Since x squared cannot be less than a negative number, the function is undefined for all values of x. Study with Quizlet and memorize flashcards containing terms like Given f (x) = x - 2 andmc001-1.jpg which of the following values is not in the domain of mc001-2.jpg, Given f (x) = 3x - 5 and mc001-1.jpg what is mc001-2.jpg, Given mc001-1.jpg ...The products of numbers or expressions is calculated by multiplying the numbers or expressions. The simplified product of is . How to determine the simplified product? The product is given as:. Express 64 as 4^3. Express x^9 as (x^3)^3. Evaluate the cube roots. Express x^5 as x^3 * x^2. Evaluate the cube rootIf we are to square x3, we should only be getting x6 instead of x9. Therefore, the answer is NO. Study with Quizlet and memorize flashcards containing terms like Use substitution to write an equivalent quadratic equation. (3x + 2)2 + 7 (3x + 2) - 8 = 0, Which equation is equivalent to f (x) = 16x4 - 81 = 0? (4x² - 9) (4x² - 9) = 0, Select all ...To solve an absolute inequality first step is to isolate absolute value expression. Hence remove -4 from the left side. So, add 4 to each sides of the inequality. 2|x + 7|−4 ≥ 0 . 2|x + 7|−4 +4≥ 0 +4. 2|x + 7| ≥ 4 Combine the like terms. Divide each sides by 2. |x + 7| ≥2. Next step is to remove the absolute value sign. So, x + 7≥ ... We want to solve Square each side. x^2 + 49 = (x + 5)^2 x^2 + 49 = x^2 + 10x + 25 49 = 10x + 25 24 = 10x x = 24/10 = 12/5 Test the answer. The solutionis correct.Equations : Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations mc011-1.jpg so that you understand better. Home; Topics; Add to Home; ... Changes made to your input should not affect the solution: (1): "c0" was replaced by "c^0". (2): Dot was discarded near "1.j". Step 1 : Final ...Jun 16, 2019 · Which statements are true regarding undefinable terms in geometry? Select two options. A point's location on the coordinate plane is indicated by an ordered pair, (x, y). A point has one dimension, length. A line has length and width. A distance along a line must have no beginning or end. A plane consists of an infinite set of points. Since x squared cannot be less than a negative number, the function is undefined for all values of x. Study with Quizlet and memorize flashcards containing terms like Given f (x) = x - 2 andmc001-1.jpg which of the following values is not in the domain of mc001-2.jpg, Given f (x) = 3x - 5 and mc001-1.jpg what is mc001-2.jpg, Given mc001-1.jpg ...Do you enjoy playing games that challenge you and require you to think creatively? If so, you’ll probably love The Impossible Quiz, which blends trivia, logic and brain-teasing fun into a game that has some pretty unique solutions.If 2 = 1 then the given equation has a single power of 5,000 on each side. The expression given in the question is, We have to rewrite the given equation so there is a single power of 5,000 on each side. The following are the identities or rules to follow while solving the powers. Therefore, take the given expression to solve it further. Thus,Which of the following statements are true about the given rational equation? Check all of the boxes that apply. x = 1 is a solution. x = -1 is a solution. Which proportion is equivalent to the original equation? C. Name the true solution (s) to the equation. x=1 and x=8. Name the extraneous solution (s) to the equation.Study with Quizlet and memorize flashcards containing terms like The standard form of an absolute value function is mc002-1.jpg. Which of the following represents the vertex?, Which of the following is the graph of f(x) = |x| translated 2 units right, 2 units up, and dilated by a factor of mc018-1.jpg?, What is the range of the …answered. Which answer choice is a solution to the inequality mc001-1. Jpg? –1 1 1. 5 0. Answer. 26 people found it helpful. beepboop8105. report flag outlined. …Jan 17, 2022 · Find an answer to your question Find the simplified product: mc002-1. Jpg mc002-2. Jpg mc002-3. Jpg mc002-4. Jpg mc002-5. Jpg. Solution. Step 1. Set the denominator of the rational expression equal to zero: 3 x 2 + 5 x = 0. Step 2. Solve the equation for x: 3 x 2 + 5 x = 0 x ( 3 x + 5) = 0 x = 0 or 3 x + 5 = 0 x = 0 or 3 x = − 5 x = 0 or x = − 5 3. Step 3. The values found in the previous step are the values excluded from the expression.Click here 👆 to get an answer to your question ️ What is the, Differentiation. dxd (x − 5)(3x2 − 2) Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 + 2x − 3x2 − 9. Solve your , Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation cal, solve x = 4+ (4x -4) 1/2. (B) x=10. solve (2a^2+5a+2) ^1/2 =3. C. The speed that a tsunami (tidal wave) can t, x > −1 So the solution is x > −1. This means that any value of x greater than −1 satisfi, What is the solution to the equation mc014-1.jpg? C. What is the solution for th, X = 1/15. Y = -7/6. Z = 9/70 Ans. Solution is availabl, Step 1 1 : First, solve one linear equation for y y, 5. 8. -7. Study with Quizlet and memorize flashcards , To solve a system of equations by elimination, write the system o, Example: Solve x 3 = 25x. It is tempting to divide by x, b, Which statements are true regarding undefinable term, Another way to think about it. If y-- you take an x. This first eq, Using the section of the graph shown, which of these potential roots , Aug 15, 2019 · Click here 👆 to get an answer to your question ️ So, Question: 1. Use logarithms to solve the given equation. (Round th, Example: Solve x 3 = 25x. It is tempting to divide by x,, C 1.4. We have an expert-written solution to this problem! Study wit.