What two numbers can be added to get a sum of 16, and multiplied to get a product of 30?

9514 1404 393

  8 ± √34 ≈ {2.169, 13.831}

Step-by-step explanation:

Let x represent one of the numbers. Then the other is 16 -x and their product is ...

  x(16 -x) = 30

  x^2 -16x = -30 . . . . . eliminate parentheses, multiply by -1

  x^2 -16x +64 = 34 . . . . add 64 to complete the square

  (x -8)^2 = 34 . . . . . . . . rewrite

  x -8 = ±√34 . . . . . . . .square root

  x = 8 ± √34 . . . . . . add 8

  x ≈ {2.169, 13.831}

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98