3 years ago

Completing the square involves changing a quadratic equation from standard form into _____.

Mathematics

1 answer:

grigory [225]3 years ago

5 0

That would be 'Vertex form'.

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Consider the equation below. log4 (x+3)=log2 (2+x). Which system of equations can represent the equation?

Verdich [7]

Using: loga b = log b / log a
1) a=x+3, b=4 → y1=log4 (x+3) → y1= log (x+3) / log 4
2) a=2+x, b=2 →y2=log2 (2+x) → y2=log (2+x) / log 2

Answer:
y1=log (x+3) / log 4, y2= log (2+x) / log 2

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3 years ago

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2x=-y in standard form

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Answer:

y=-2x

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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3 years ago

(5CQ) Use the comparison test to determine whether the series 25/3+125/9+625/27+... is convergent or divergent.

olya-2409 [2.1K]

The terms in the sum are given by the sequence

$\left\{\dfrac{5^{n+1}}{3^n}\right\}_{n\ge1}$

We have

$\dfrac{5^{n+1}}{3^n}>\dfrac{5^n}{3^n}=\left(\dfrac53\right)^n>1$

for all $n$ , and the series $1+1+1+\cdots$ clearly diverges, so $\dfrac{25}3+\dfrac{125}9+\cdots$ must also diverge.

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3 years ago