Answer:
(- 3, 12 ) and (5, 28 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y - 2x = 18 → (2)
Substitute y = x² + 3 into (2)
x² + 3 - 2x = 18 ( subtract 18 from both sides )
x² - 2x - 15 = 0 ← in standard form
(x + 3)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 5 = 0 ⇒ x = 5
Substitute these values into (1) for corresponding values of y
x = - 3 : y = (- 3)² + 3 = 9 + 3 = 12 ⇒ (- 3, 12 )
x = 5 : y = 5² + 3 = 25 + 3 = 28 ⇒ (5, 28 )
Answer:
y would be equal to 27
step by step explanation:
There are three different choices for the American.
There are 16 different choices for the first non-American and 15 different choices for the other non-American.
So, there are 3 x 16 x 15 different groups.
But, order is important -- who gets the gold, who gets the silver, and who gets the bronze -- there are 6 different ways to arrange the 3 winners (3! = 6).
Thus, there are 6 x 3 x 16 x 15 different results.
The opposite of a number is called its inverse.
