What are the first four terms in the nth term n(2n + 1)

Mathematics

1 answer:

Bingel [31]2 years ago

6 0

Answer:

Explination:

0 x anything is still zero, but I don't know if that counts.

1 (2+1) = 3

2 (4+1) = 10

3 (6+1) = 21

4 (8+1) = 36

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Step-by-step explanation:

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3 years ago

Find the vertex of the graph of f(x) = x2 + 4x - 5.

Fofino [41]

You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
$\frac{df}{dx}=2x+4$
Solve the equation:
$2x+4=0$
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
$(-2)^2+4 \cdot (-2)-5=4-8-5=-9$

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>