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John can mow his lawn in 3 hours and his sister, Julie, can mow it in 2 hours. How long will it take them to mow their lawn if they work together? Solve the equation. Find the vertical asymptotes of the function. Two cars are traveling north along a highway.

The first drives at 40 mph, and the second, which leaves 3 Algebra Question And Answer Review hours later, travels at 60 mph. How long after the second car leaves will it take for the second car to catch the first? Solve the equation for x. Notice that the given system has two algebra 2 question and answer, and each equation aglebra two Algebra Question And Answer You variables, x and y. Therefore, the solution of the system of equations will have values for each variable. Since the first equation already has y isolated on the left side, it will be easier to use the algebra 2 question and answer method than the elimination method to solve the system of equations.

Check this solution by substituting the values into the second equation and making sure the resulting equality is true. To make the calculation easier, rewrite the formula as. Next, if John and Julie work together, their total rate can be found by adding the individual rates.

In other words, their total rate working together is lawns per hour. Substitute this value into the original rate formula and solve for t, the variable that represents time spent mowing. Therefore, it will take John and Julie hours, or 1 hour 12 minutes, to mow the lawn if algebra 2 question and answer work.

Then, simplify the result. The result is a quadratic equation. Solve it by factoring the left side and setting each factor equal to zero. Unfortunately, there is a risk of finding an incorrect anwwer when solving rational equations in this manner. Consequently, the two possible solutions must be verified. To do this, substitute them into the given equations and make sure that the result is a true statement. Notice that the greatest common factor GCF of the coefficients is 2, and each term is divisible by x.

Therefore, factor out 2x. To solve an equation by completing the square, manipulate it algebraically so that one side in this answrr, the left side is a perfect square trinomial and the other side the right side is a constant. In the given equation, the left side only has two terms, an x2-term and an x-term; a constant term needed to make the expression a perfect square trinomial.

An asymptote is a line that the algebra 2 question and answer of a function approaches algebra 2 question and answer never touches. For a rational function like the given one, the vertical asymptotes are vertical lines that occur at every x-value for which the denominator is zero. Use the rate formula,to find the answer. Let t represent the number of hours the second car travels.

The second car will catch the first car when both have traveled the same distance. So, set the two formulas equal to each other and solve for t. The domain of a function is the set of all possible input values for anseer function. In this case, the input for f x is x. The easiest way to find the domain of algebra 2 question and answer x is to Algebra Question And Answer Grade 6 figure out which x-values asnwer not work that is, give undefined output values in the function.

Then you can exclude those values from the domain. Examine the given function. Notice that it does not contain a square-root sign, a logarithm, or a fraction with an in the denominator. Therefore, the function is defined for all real numbers. Notice from the graph below that the function algebra 2 question and answer go to the left and right without end.

The logarithm of a number is the exponent to which the base must be raised to in order to get that number. Therefore, the equation algebra 2 question and answer be rewritten as.

Check this solution by substituting 3 into the original equation and making sure that the result is a true statement. Solve the system of equations. Factor the expression completely. Therefore, the equation can be rewritten as Questiin the equation and solve for x.

Simply said:

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Need algebra 2 help? Ask your own question. Ask now. This is how you slader. Access high school textbooks, millions of expert-verified solutions, and Slader Q&A. Get Started FREE. Access expert-verified solutions and one-sheeters with no ads. Upgrade $4/mo. Access college textbooks, expert-verified solutions, and one-sheeters. Upgrade $8/mo >. View High School: Algebra 2 Final Free Practice Test Instructions. Choose your answer to the question and click 'Continue' to see how you did. Then click 'Next Question' to answer the next question. Algebra II Practice Test Objective: a 1. Which is equivalent to 3 ? A 21 B 98 C D 2. Which expression is another way to write x4? A 3 5x4 B 4 5x3 C 3 25x4 D 4 25x3 3. If x and y are real numbers, what is the simplified radical form of 25 1 xy5.

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