Diophantus of Alexandria (c. 275) was an outstanding Greek mathematician who wrote extensively on quadratic equations. He also collected and catalogued all of the algebra the Greeks had achieved. Nothing is really known about his life, when or where he lived, or how he died. All that is known about him comes from an algebra problem inscribed on his tombstone. The problem is as follows: Diophantus spent 1 of his life in childhood, 1 as a youth, and 1 more as a 6 12 7 bachelor. Five years after his marriage was born a son who died four years before his father at half the age at which his father died. How old was Diophantus when he died?

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

The length of the largest fish is 967.74 times greater than the length of the smallest fish. select a variable expression that shows the length of the largest fish, if 8 is the length of the smallest fish. a. s + 967.74 b. \[ \frac{967.74}{s} \] c. 967.74 - s d. 967. 74s

25 ! the line of best fit is h = 5a + 86. predict the height at age 16. show your work.