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:
Well it will be 7+5=12 and 6+6=12
Step-by-step explanation:
X=24
First you find the third side of the smaller triangle by using the Pythagorean theorem. You find that is it 100. Then you subtract that from 26 squared. After you get that, you square root the answer to get 24
Answer:
2 days.
Step-by-step explanation:
Let, Sofia can type the x amount of work in 10 hours.
So, in one hour Sofia can type
amount of work.
Again, Nova can type x amount of work in 15 hours.
So, in one hour Nova can type
amount of work.
Hence, if they work together, they can type
amount of work in one hour.
Therefore, working together they can type the x amount of work in
days.
So, they have to work for (6 - 4) = 2 days more to finish the work. (Answer)
Answer:
it's actually none of these.
Step-by-step explanation:
if we divide 15 by 3 we also have to divide 42 by 3. We end up with 5:14. 15 isn't divisible by any number other than 1, 3, 5, and 15.