-2x^4 + 10x^3 - 21x^2 + 19x - 4
that should be the right answer
Answer:
First, let's define an arithmetic sequence:
In an arithmetic sequence, the difference between any two consecutive terms is always the same.
Then we can write it in a general way as:
aₙ = a₁ + (n - 1)*d
where:
aₙ is the n-th term of the sequence.
d is the constant difference between two consecutive terms.
a₁ is the initial term of our sequence.
Now in this case we know that the first terms of our sequence are:
84, 77, ...
Then we know the initial term of our sequence:
a₁ = 84.
And the value of d can be calculated as:
d = a₂ - a₁ = 77 - 84 = -7
Then the general way of writing this sequence is:
aₙ = 84 + (n - 1)*(-7)
And the recursion relation is:
aₙ = aₙ₋₁ - 7
So for the n-th term, we must subtract 7 of the previous term.
Answer:
50, 48, 14
Step-by-step explanation:
Go through them one by one. The side lengths of a triangle should all plug in to the formula a^2 + b^2 = c^2. The longest side is always c because it is the hypotenuse. The other two sides are interchangeable.
8^2+ 14^2 should equal 17^2.
That simplifies to
64+196=289
That can't be true because the units digits add to 10 instead of 9.
The same method applies to 3, 5, and 6 but from experience I know that this already isn't an option.
For 50, 48, and 14, you can divide everything by 2, resulting in 25, 24, and 7.
576+49 should equal 625.
That is true.
For 53, 48, and 24
576+2304 should equal 2809.
That isn't true, it equals 2880.
2x^2 = 28 - x in standard form is 2x^2 + x = 28
Factoring, we have:
x(2x + 1) = 28
