Urgent help!
QUESTION 1

A fruit basket has both mangoes and oranges and can accommodate only 80 mangoes and oranges when

full. If there are x mangoes in a full basket,

(i) Write an expression for the number of oranges in it.

(ii) If an orange costs 50 cents and a mango costs 40 cents, write an expression for the amount of
money collected (in dollars) for the sale of all the mangoes and oranges in the full basket, S ( x ) .

(iii) Find the total amount collected from selling all the fruits in the full basket if there are 35 mangoes

in it.

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.

c.

step-by-step explanation:

simple you would first have to get   a negative number where as 1 to be multiplied by 24 and then you would have to multiply 6 time 4 and then repeat that process until you reach your term