Solve the equation by completing the square.(x + 2)(x + 3) = 23

A.  ,  
B. -2-3
C. 3-3
D. No real solution


Answer: A

Mathematics

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Solve the problem.A person plans to invest $10,000 in a CD at 6% annual interest and in a mutual fund that has a 3-year average annual interest of 11%. Let x and y represent the money (in dollars) invested in the CD and the mutual fund, respectively. How much money should be invested in each account to earn a total of $700 in one year?

A. $2000 invested at 6%; $8000 invested at 11% B. $9000 invested at 6%; $1000 invested at 11% C. $7000 invested at 6%; $3000 invested at 11% D. $8000 invested at 6%; $2000 invested at 11%

Mathematics

Use scientific notation to solve the problem.How many liters of oil are needed to supply the electrical energy needs of an average U.S. home for 10 weeks? Assume that the energy released by burning one liter of oil is 1.2 × 107 joules and that the electrical energy used daily in an average U.S. home is 5 × 107 joules. Round your answer to the nearest tenth of a liter.

A. 291.7 liters B. 2.4 liters C. 16.8 liters D. 41.7 liters

Mathematics

Factor out the GCF from the polynomial.5t2 - 20t - 15

A. 5(t2 - 15t - 10) B. 5(t2 - 4t - 3) C. 5(t2 - 20t - 15) D. 5t(t2 - 4t - 3)

Mathematics

Find the modified quota asked for. Round your answer to two decimals.A university has 27 scholarships to be apportioned among the engineering students based on the enrollment in each department. There are three departments - Mechanical Engineering (M), Electrical Engineering (E), and Civil Engineering (C). The number of students in each department is given in the following table. Find the modified quota for the Civil Engineering Department using the divisor 27.

A. 5.52 B. 5.67 C. 5.72 D. 5.47

Mathematics