Barbara is deciding between Banquet Chefs and Cece’s Catering to cater an awards banquet. Barbara needs to choose the company that costs less, but she does not yet know how many guests will be attending. (if you can figure this out congratulations your a god at math)

CeCe's is cheaper than Banquet Chefs when 31x+425<28x+590. That is, when x < 55. She should choose CeCe's is she has fewer than 55 guests. She should choose Banquet Chefs is she has more than 55 guests. If she has exactly 55 guests, it does't matter who she chooses.

Step-by-step explanation:

Solve the problem by plugging in numbers for (x) in the equation given.

31 * (54) + 425 = 2,099, which is < 28 * (54) + 590 = 2,102

31 * (56) + 425 = 2,161, which is NOT < 28 * (56) + 590 = 2,158

31 * (55) + 425 = 2,130 which is = 28 * (55) + 590 = 2,130

Therefore, CeCe's is cheaper anytime (x), which represents the number of guests, is less than 55, or x < 55.

Banquet is cheaper anyime (x) is more than 55, or x > 55.

If there are 55 guests exactly or x = 55, both will be the same price.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome