11. The Gateway Arch in St. Louis, Missouri is a wonderful tourist attraction. The arch has a maximum height of 630 feet and covers a horizontal (ground) distance of 630 feet. The
arch reaches its maximum height at a horizontal distance of 315 feet.
a. Write the equation that represents this situation in the form that reveals the
mentioned key feature. Let d represent the horizontal distance the arch covers in
feet and H(d) represent the height of the arch at any given horizontal distance.
Let a =-0.01. (Hint: sketch and label the graph.)
b. Explain why you choose this particular form.

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.

Enter the missing numbers in the boxes to complete the table of equivalent ratios.time (min) distance (km)? 36 9? 1512 ?

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.