6 and 7 is the correct answer
Answer: 6, 8, 10, 12
Step-by-step explanation:
Given that x is the number, the 4 numbers would be
x, x + 2, x + 4, x + 6
so the two smallest numbers would be x and x + 2
and the two largest numbers would be x+4 and x+6
now set up an equation
x(x+2) = (x+4)(x+6) - 72
now FOIL
x^2 + 2x = x^2 + 6x + 4x + 24 - 72
combine like terms
x^2 + 2x = x^2 + 10x -48
subtract x^2 from both sides
2x = 10x - 48
subtract 2x from both sides
0 = 8x - 48
add 48 to both sides
48 = 8x
divide both sides by 8
6 = x
so the four numbers, x, x+2, x+4, and x+6 when you plug in x are equal to
6, 8, 10, 12
Answer: -11
Step-by-step explanation:
For this problem, it is important to look at the domains next to the function. In this problem there is a function for when x < 1 and when x ≥ 1. 3 is greater than 1, so we will use the second equation.
From there, plug in 3 for x and solve.
-2x - 5
-2(3) - 5
-6 - 5
-11