Answer:
an = 4^(n-1)
Step-by-step explanation:
The three given terms have a common ratio of 4:
4/1 = 16/4 = 4
So, this can be described by the function for a geometric sequence:
an = a1×r^(n -1)
where an is the n-th term, a1 is the first term (1) and r is the common ratio (4).
an = 1×4^(n-1)
an = 4^(n -1) . . . . . simplified
Answer:
The translation would be
X = 40% + 5 + A
Step-by-step explanation:
First, translate the words, is, more than and 'the number'.
Is means equals (=).
More Than means plus (+).
'the number' can be x.
Now, put it together.
X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)
I hope this helps!!
Answer:
-2.35
Step-by-step explanation:
I'm not 100% Sure if that's correct but I'm pretty sure it is!
9514 1404 393
Answer:
- rewrite: 2x^2 +5x +20x +50
- factored: (x +10)(2x +5)
Step-by-step explanation:
I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.
You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.
100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10
The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.
The trinomial can be rewritten using these factors as ...
2x^2 +5x +20x +50
Then it can be factored by grouping consecutive pairs:
(2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)
_____
<em>Additional comment</em>
It doesn't matter which of the factors of the pair you write first. If our rewrite were ...
2x^2 +20x +5x +50
Then the grouping and factoring would be (2x^2 +20x) +(5x +50)
= 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring
Answer:
18, 19, 20
-18,-19,-20
Step-by-step explanation:
x + 15 ≤ 35
x ≤ 35 - 15
x ≤ 20
x must be 20 or less than it
