Answer: 
Step-by-step explanation:
1. You know that the force<em> F</em> varies directly as the weight <em>w</em> of the sofa. Then, you can write the following expression:
Where <em>k </em>is the constant of proportionality.
2. You know that a person can push a 120 pound sofa with a force of 50 pounds, then you can calcualte the constant of proportionality as following:
3. Then, the equation is:
Answer:
52
Step-by-step explanation:
f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into
f(n-1)²+3 to get
f(1)²+3 = 2²+3 = 4+3=7
Thus, f(2) =7. Similarly,
f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52
Answer:
(g x h)(n) = -3n(n^2+2n+4) + 2(n^2+2n+4)
(g x h)(n) = -3n^3-4n^2 -8n + 8
(g x h)(1) = -3n^3-4n^2 -8n + 8 = -3 -4 -8 + 8 = -7
Step-by-step explanation:
168=n+(n+2)+(n+4)
168=3n +6
168 - 6 = 3n
162/3=n
54=n
integer 1: 54
integer 2=n+2=56
integer 3=n+4=58
For #3.
Zeros are 3 and -1 (plot them on the x-axis as a point)
Axis of symmetry is halfway between those so it’s: x=1
Vertex is (1, -4)
Y-intercept is (0,-3)
Domain is always all real numbers
Range is y is greater than or equal to -3
