Answer:
f(n) = -n^2 -3n +5
Step-by-step explanation:
Suppose the formula is ...
f(n) = an^2 +bn +c
Then we have ...
f(1) = 1 = a(1^2) +b(1) +c
f(2) = -5 = a(2^2) +b(2) +c
f(3) = -13 = a(3^2) +b(3) +c
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Here's a way to solve these equations.
Subtract the first equation from the second:
-6 = 3a +b . . . . . 4th equation
Subtract the second equation from the third:
-8 = 5a +b . . . . . 5th equation
Subtract the fourth equation from the fifth:
-2 = 2a
a = -1
Then substituting into the 4th equation to find b, we have ...
-6 = 3(-1) +b
-3 = b
and ...
1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation
5 = c
The formula is ...
f(n) = -n^2 -3n +5
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-
Answer:
0.2419
0.9703
0.1392
Step-by-step explanation:
I did math
Answer:
8%
Step-by-step explanation:
234.25$ : 100 = 252.99$ : x
234.25x = 252.99 x 100
234.25x = 25299
25299 divided by 234.25 is 108
so answer 8%
Volume of prism = area of base * height
as both prism are similar so,
if in smaller prism Length is 5 then in Larger it is 15 that is multiple of 3
similarly , breath and height will be also multiple of 3
so, V1 = 60
then V2 = 60 *3*3*3 = 1620 cubic cm
hope it helped