EXAMPLE 3 An Equation Involving Fractional Expressions Solve the equation--+ SOLUTION The LCD of the fractional expressions is (x + 1)(x-2) x2-x-2. LCD to get +3 Mulitiply 2) by LCT x+x-2 Expand Simplify Solve
This example problem has me so confused. It has been so long since I have taken Algebra. Please help me understand how they found the LCD, multiplied by the LCD, expanded, and simplified this problem. I have attached the photo of the example. Thank you!
EXAMPLE 3 An Equation Involving Fractional Expressions Solve the equation--+ SOLUTION The LCD of the fractional expressions is (x + 1)(x-2) x2-x-2. LCD to get +3 Mulitiply 2) by LCT x+x-2 Expand Simplify Solve
Expert Answer
Want to see the step-by-step answer?
Related Algebra Q&A
Q: Evaluate the following expression without using a calculator. log 93 log g3=(Type an integer or a fr...
A: Given expression is,
Q: The graph of a function is given. Determine whether the function has an inverse function. Does the g...
A: This graph satisfies vertical line test.
Q: (-1+i)-(-7+4i)-5
A: Simplify the expression (–1+i) – (–7+ 4i) – 5 as follows.(–1+ i) – (–7+ 4i) – 5 = –1+ i +7– 4 i – 5 ...
Q: Find an equation of the circle whose diameter has endpoints (-5, 6) and (3, 2). X
A: Click to see the answer
Q: Solve the inequality using a graphing utility. X+ 1 s2 X- 2 Graph the given inequality using a graph...
A: Calculation:Use a graphing calculator and obtain the graph of the given rational function as shown b...
Q: Graph the following function by making a table of coordinates. If applicable, use a graphing utility...
A: Given information:The given function is
Q: #7
A: Rewrite the given line equation as follows.
Q: Given the function f(x) = vx-7, (a) Find f (x) (b) Graph f and f (c) Use interval notation to give t...
A: We first replace f(x) by y. Then we switch x and y and solve for y. This new y is replaced by f^-1(x...
Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.4 meg...
A: Given:The size of the standard version is 2.4 megabytes (MB). The size of the high-quality version i...
Q: + Gwhat is amplitude of a wave Go X B Lesson 17 Homework 1 College X - https://go.view.usg.edu/d2l/l...
A: Consider the equation that represents the magnitude, M of an earthquake:
Q: x5y7/x-2y7
A: The given expression is x5 y7 / x–2 y7.
Q: Given the function f(x) = x-15, x2 0, (a) Find f (x). (b) Graph f and f 1 in the same rectangular co...
A: (a)We are given a function as
Q: #1
A: The given pair of equation are 2x +5y = 4 and 4x +10y = 1.
Q: Two angles are supplementary if the sum of their angles is 180 degrees. One of two supplementary ang...
A: To calculate the value of two supplement angle. If the sum of two supplementary angle is 180o. In th...
Q: Approximate the number using a calculator. 2.3 2.3 e (Round to three decimal places.) Enter your ans...
A: We first plug e^2.3 in the calculator.
Q: Solve by completing this square m2+3m-40=0
A: We first add 40 to both sides.
Q: 0.08x+0.09(9,000-x)=750 how do you solve equation
A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...
Q: Suppose that you earned a bachelor’s degree and now you’re teaching high school. The school district...
A: To calculate (a) The amount which is saved at the end of 5 years. (b) The amount of interest. If the...
Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 5x 14x* + 14x+ 2x2+1 ...
A: The given expression is,
Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .
A: Click to see the answer
Q: The parent function f(x)=x3 is related to g. Use function notation to write g in terms of f. g(x)=(...
A: The parent function f(x)=x3
Q: Please help
A: This is how a normal distribution graph looks. Here given that mean=100 and standard deviation=14
Q: Solve the system for x and y, expressing either value in terms of a, if necessary. Assume that a #0....
A: We are given system of equations
Q: Factor the algebraic expression 4/10 1/10 X - X
A: Given algebraic expression is,x4/10-x1/10
Q: Solve and graph the solution on a number line
A: To solve and graph the solution of the provided inequality 9+2y≤4y+5. No, first solve the inequality...
Q: A car is purchased for $31,000 . Each year it loses 30% of its value. After how many years will the ...
A: Let the depreciated amount be represented by D(t). then according to the given condition.
Q: Write an equation (slope-intercept form) of the line L satisfying the given conditions: 1.) L passes...
A: 1)The slope of line ax+by=c is -a/b, using this we can calculate the slope of given line m1 which is...
Q: A and B are sets of real numbers defined as follows. 4 = {x | x > 3} Bx|x5 Write A n B and A UB usin...
A: Click to see the answer
Q: A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the sec...
A: Total gas consumption in the given week is 40 gallons.
Q: #37 A faucet can fill a tub in 12 minutes. The leaky drain can empty the tub in 30 minutes. If the f...
A: Click to see the answer
Q: For f(x)=x and g(x) = x + 4, find b. the domain of fog a. (fo g)(x) a. (fo g)x) (Simplify your answe...
A: (a)o represents the composition of functions and is defined as:Plugging the values,
Q: Simplify the expression 4 (10 n to the power 2 - 2) -5 (8 n to the power 2 + 4)
A: The given expression is
Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...
A: we are given system of equations as
Q: Simplify the difference quotients f(x+h)-f(x)/h and f(x)-f(a)/(x-a) for the following function by ra...
A: Here, we find f(x+h) by replacing x by x+h ,substitute the values of f(x+h) and f(x) and then by r...
Q: Convert each of the following base ten numerals in the given base: Convert 67 to base three Convert...
A: To convert 67 base 10 to base three.
Q: What is the equation of the function that is obtained from f (x) = ⎷x by shifting 1 unit to the righ...
A: If we shift f(x)= sqrt(x) 1 unit to right then we get f(x)=sqrt(x-1)
Q: When solving systems of we have at least two unknowns. A common example of a system of equations is ...
A: Let x be the number of liters of water and y be the number of liters of cleaner.Then the first equat...
Q: I caught 25 ducks and tagged them and let them go in a refuge. one month later i catch 70 ducks. I f...
A: The number of ducks caught first time is 25.The number of ducks caught second time is 70. But 6 of t...
Q: Collect like terms and then arrange them in descending order.-x+5/8+30x^3-x-1/2-3x^3
A: Here the given expression is
Q: Find the coordinates of the vertex of the quadratic functions beneath: y=3x2 y=3x2-2 y=-x2+3
A: (a)We can compare with quadratic equations and find a , b and c
Q: Solve and graph the solution on a number line
A: Given infromation:The given inequality is x-3>1Calculation:x-3>1x>1+3x>4Graph:
Q: Solve the given exponential equation. Express the solution set in terms of natural logarithms or com...
A: Given exponential equation is,
Q: Solve for x: 3x+1 = 27
A: The equation is given by,
Q: Explain how the vertical line test is used to determine whether a graph represents a function. Show ...
A: The basic definition of a function is that for every unique input x there is a unique output y.the v...
Q: Please answer the attached question. Thanks a lot
A: (a)Let T(x) represents the amount of tritium remaining in grams after x years and T(0) represents th...
Q: How many quarts of pure antifreeze must be added to 7 quarts of 40% antifreeze solution to obtain a ...
A: Let us add x quarts of pure antifreeze to the 7 quarts of 40% antifreeze, to achieve 50% antifreeze ...
Q: |4 - 8(3 - 12)| - |5 - 11| = im having trouble figuring out how to do this problem, should i start w...
A: Yes, the given problem can be start with parenthesis.
Q: Can you help me to solve from 1 to 3?
A: Given polynomial is :
Q: Hello, I am not confident in this Linear Algebra question: Suppose that a nonhomogeneous system wi...
A: The system is equivalent to Ax=b.We have 10 linear equations in 8 unknowns. So dimension of A= 10x8.
Q: Use the Rational Zero Theorem to list all possible rational zeros for the given function. fx) -3x-4x...
A: First we have to find all the factors of 6.