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Concept explainers
To calculate: The solution of the equation
The solutions of the given equation are 0,1, and
Calculation:
Consider the provided equation,
Take the common factor out.
Put the first factor equal to zero.
Put the second factor equal to zero.
Put the third factor equal to zero.
Check:
Put
Which is true.
Put
Which is true.
Put
Hence, the solution of the given equation is
![Check Mark](/static/check-mark.png)
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Chapter 1 Solutions
College Algebra Real Mathematics Real People Edition 7
- Solve with details.arrow_forwardSimplify complex rational expression. [(x/3 - 1)/(x - 3)]arrow_forward3x² + 4x+1 Given the function f(x) = what is the sum of the coefficients and constants remaining in the function after it has been fully simplified and written as a single fraction? x²+x Answer:arrow_forward
- Harvesting A farmer’s main cash crop is tomatoes,and the tomato harvest begins in the month of May.The number of bushels of tomatoes harvested on thexth day of May is given by the equation B(x) =61x + 12 3/2. The market price in dollars of 1 bushelof tomatoes on the xth day of May is given by theformula P(x) = 8.5 - 0.12x.a. How many bushels did the farmer harvest onMay 8?b. What was the market price of tomatoes on May 8?c. How much was the farmer’s tomato harvest worthon May 8?d. Write a model for the worth W of the tomato harvest on the xth day of May.arrow_forwardPart a)arrow_forwardEvaluating and Solving Quadratic Functions The function h(t) = - 0.23t² + 1.1t + 15, where h(t) is height in feet, models the height of an "angry bird" shot into the sky as a function of time (seconds). Use this function to answer the following questions. Round all answers to two decimal places How high above the ground was the bird when it was launched? The bird was feet above the ground when it was launched. After how many seconds does the bird reach its highest point? The bird reaches its highest point after seconds How high is the angry bird at its highest point? The bird is feet above the ground at its highest point After how many seconds does the angry bird hit the ground? The bird will hit the ground seconds after it is launched If the bird is traveling at 16 feet per second, how far does the angry bird travel before it hit the ground? If the bird is traveling at 16 feet per second, it will travel feet before it hits the ground Determine the practical domain of this function.…arrow_forward
- Please solve all partarrow_forwardA polynomial f(x) is given. Solve the equation f(x) = 0. Find all solutions, real and imaginary. 15) f(x) = 3x5 + 23x4 + 80x³ + 140x² + 112x + 32arrow_forwardFind the value of c so that the equation will have exactly one rational solution. 64p2 - 16p + c= 0 (Type an integer or a decimal.)arrow_forward
- CRQ 14 Real World application of Rational equations with Exponents.: $2500 is invested at an annual interest rate of 3% for "t" years. What is the equation that represents the value of that investment after "t' years. In this example, what is the value after 10 years?arrow_forwardThe graph of each side of a rational equation in one variable is shown. Find the solution of the rational equation. The solution of the equation is x= 4. 2. 2.arrow_forwardFill the blanksarrow_forward
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