Solve the problem.The side of a square equals the length of a rectangle. The width of the rectangle is 4 centimeters longer than its length. The sum of the areas of the square and the rectangle is 70 square centimeters. Find the side of the square.

A. 7 cm
B. 25 cm
C. 5 cm
D. 2 cm


Answer: C

Mathematics

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Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).f(x) = x2 + 2x - 8 

A.

B.

C.

D.

Mathematics

Solve the problem.A manufacturer makes three different drinks. Drink 1 contains 10% juice and 90% carbonated water. Drink 2 contains 50% juice and 50% carbonated water. Drink 3 contains 90% juice and 10% carbonated water. The manufacturer currently has available 60 liters of juice and 160 liters of carbonated water. Drink 1 sells for $1 per liter, Drink 2 sells for $2 per liter, and Drink 3 sells for $3.80 per liter. How many liters of each drink should the manufacturer make to maximize revenues?

A. 172.5 liters of Drink 1, 0 liters of Drink 2, 47.5 liters of Drink 3 B. 128.0 liters of Drink 1, 20 liters of Drink 2, 37.5 liters of Drink 3 C. 142.5 liters of Drink 1, 60 liters of Drink 2, 30.0 liters of Drink 3 D. 152.5 liters of Drink 1, 40 liters of Drink 2, 40.0 liters of Drink 3

Mathematics

Solve the problem.June made an initial deposit of $6100 in an account for her son. Assuming an interest rate of 2% compounded quarterly, how much will the account be worth in 13 years?

A. $7901.06 B. $7906.15 C. $7866.82 D. $6979.33

Mathematics

Without solving, determine the character of the solutions of the equation in the complex number system.x2 + 7x - 8 = 0

A. two complex solutions that are conjugates of each other B. two unequal real solutions C. a repeated real solution

Mathematics