Questions in mathematics

Questions in mathematics

[Done] A businessman buys 1,440 dozen pens at $2.50 a dozen and then sells them at a price of 25¢ apiece. What is his total profit on the lot of pens?

[Done] Divide and simplify: \[ \frac{4}{9} \div \frac{8}{15} \]

[Done] Find the next three terms of the sequence: 80, –160, 320, –640.

[Done] Calculate the expression: \(4 + 2(5 \times 7)\)

[Done] Simplify the expression: (12y^2 + 17y - 4) + (9y^2 - 13y + 3)

[Done] Joseph's taxi charges $10.00 for the initial service of any drive. Then, the fee for each mile is $0.75. Which type of function is represented by this situation? 1) Linear 2) Exponential 3) Quadratic 4) Absolute value Justify your answer.

[Done] Which value is a zero of the function defined by \(6x^2 + 6x - 36\)?

[Done] Jackson had 250 total goals in his professional soccer career. 115 of them were made at home games. What percent of his total goals were made during away games?

[Done] A patio is shaped like a golden rectangle. Its length (the longer side) is 16 ft. What is the patio's width? Write your answer in simplified radical form.

[Done] Which is an equation of a circle with center (5, 0) that passes through the point (1, 1)? Answer Choices: A. \((x - 1)^2 + (y - 1)^2 = 17\) B. \((x + 5)^2 + y^2 = 17\) C. \((x + 5)^2 + y^2 = 24\) D. \((x - 5)^2 + y^2 = 17\)