Let the nth term be given by the expression an²+bn+c.
We can write A: -7=a+b+c B: -6=4a+2b+c C: -3=9a+3b+c
D: B-A: 1=3a+b
E: C-B: 3=5a+b
E-Dm 2=2a, a=1, b=1-3=-2, c=-7-1+2=-6.
So the expression for the nth term is n²-2n-6.
Put n=4: 16-8-6=2 which fits the sequence.
Put n=5: 25-10-6=9 which also fits the sequence.
So the nth term is
Step-by-step explanation:
area of circle = πr²
radius ² = 9.15 = 83.72 (approx.)
now,
→ 22/7 × 83.72
→ 22 × 11.96 = 263.02 m²
therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².
hope this answer helps you dear..take care and may u have a great day ahead!
Answer:
Step-by-step explanation:
We want to simplify the algebraic expression:
We can rewrite this as:
We convert to equivalent fractions to get::
We can now add the numerators and keep one of the denominators.
We rewrite as:
I. Multiply the first function by the second one.
f(x)*g(x) = (x^2+3x-4)*(x+4) = x^3 + 3x^2 - 4x + 4x^2 + 12x -16 = x^3 +7x^2 + 8x - 16.
The domain of this new function is the set of all real numbers (R). Other notation: from minus infinity to plus infinity. We came to this conclusion because the new function poses no restrictions; regardless of which x-value you take, you will get the appropriate y-value.
II. f(x)/g(x) = (x^2+3x-4)/(x+4) =
Ask yourself: which two numbers add up to 3 and multiply to -4? It's -1 and 4. Now we can represent f(x) as (x-1)(x+4).
Since we're dividing these 2 brackets by g(x)=x+4, we may now cancel (x+4). All that's left is x-1.
The domain here is the same as in the previous task - it is R.
<span>3(2t + 5) = 5t + 25
6t + 15 = 5t + 25
6t - 5t = 25 - 15
t = 10</span>
