Match each word problem to its solution. Seven more than 3 times a number is 49. What is
the number?
Hillary’s age is 3 years greater than times
Lily’s age. If Hillary is 19 years old, how old is Lily?
Twice a number decreased by 20 is 50. What is
the number?
Claret purchased two handbags and a wallet.
The cost of each handbag was $10 more than
the wallet. If she spent a total of $60 for the two
handbags, what is the cost of the wallet?

2.56 is the width of the garden

step-by-step explanation:

the photograph is photographer and- in the process- ourselves.

step-by-step explanation:

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.