Brock is training for a crossfit competition. he began the training by completing pull-ups and box jumps. originally, his training plan had him completing pull-ups and box jumps at a ratio of 5: 4. after two months of training, he decided to focus on his leg strength and adjusted his ratio to 2: 7. if he completed 53 box jumps at the end of his training, how many pull-ups did he complete in the initial stage of training?

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

step-by-step explanation:

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1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.