<h3>Hello there!</h3>
This is a quite interesting problem.
Since it is normally unsolvable without the functions, the answer must lay somewhere in the examples given.
In this case, it lays in f(0).
Why would that be? Because anything times 0 is equal to 0.
In f(0), x is equal to 0, so a*x is therefore equal to 0.
Knowing that, the only thing that is left behind is, when you substitute in 0 for x:
16 = -(b*4)
Therefore, we can then solve to get:
-16 = b * 4
-4 = b
And now it's fairly simple to get a: just plug b into f(3) and solve.
25 = (3a) - (-4*4)
25 = 3a + 16
25 - 16 = 3a
9 = 3a
a = 3
And now to solve for what the question is looking for, just add a and b.
3 + -4 = -1
And there's your answer.
<h3>
a + b = -1</h3>
The common ratio of the sequence is calculated by dividing the second term by the first term or dividing the third term by the second term. That is,
r = 250 / 333 = 0.75
or r = 187 / 250 = 0.748 = 0.75
To get the next term, we multiply 187 by 0.75 giving us an answer of 140.25 or 141.
Answer:
Step-by-step explanation:
Given that:
Principal = $650
Interest rate, r = 2.3% = 0.023 compounded daily
Time, t it takes for final amount, A to reach $880
Using the relation :
A = P(1 + r/n)^nt
n = number of times compounded per period
Hence, n = 365
880 = 650(1 + 0.023/365)^365t
880/650 = 1.0000630^365t
1.3538461 = 1.0000630^365t
Take the log
0.1315692 = 0.0000273596 * 365t
0.1315692 = 0.0099862t
t = 0.1315692 / 0.0099862
t = 13.175101
t = 13.18 years a
Step-by-step explanation:
63 is a composite number. 63 = 1 x 63, 3 x 21, or 7 x 9. Factors of 63: 1, 3, 7, 9, 21, 63. Prime factorization: 63 = 3 x 3 x 7, which can also be written 63 = 3² x 7.
Answer:
3
Step-by-step explanation:
11-8=3
Hoped this helped! :)