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
Answer:
There is no box
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
Given algebraic expression:
To:
- Evaluate this expression,with : x = 6
Solution:
Simplify by plugging x = 6
- 4(6)²+3(6)
- 4(36) + 18
- 144 + 18
- 162
<em>We can conclude:</em>
By evaluating this expression by x = 6 , the answer will be 162.
Well, in the real would many people spend more than $30.
Answer:
.42n = p
Step-by-step explanation:
We can write ratios to solve
2.52 / 6 = p/n
.42 = p/n
Multiply each side by n
.42n = p
