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3 years ago

Rewrite the expressions below by completing the square.

Mathematics

1 answer:

Mrrafil [7]3 years ago

3 0

Answer:

(x + 2)^2 - 1

Step-by-step explanation:

x^2 + 4x + 1

= (x^2 + 4x + 2 - 2 + 1)

= (x + 2)^2 - 1

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Calculate the sum of the infinite series

andriy [413]

ANSWER

$S_ \infty = \frac{40}{3}$

EXPLANATION

The given series is

$20-10+5-...$

The first term of the series is,

$a_1=20$

The common ratio of this series is,

$r = \frac{ - 10}{20}$

This simplifies to,

$r = - \frac{1}{2}$

The sum to infinity of this sequence is given by the formula,

$S_ \infty = \frac{a_1}{1-r}$

We substitute the above values into the formula to obtain,

$S_ \infty = \frac{20}{1- - \frac{1}{2} }$

This simplifies to,

$S_ \infty = \frac{20}{1 + \frac{1}{2} }$

We simplify the denominator to get,

$S_ \infty = \frac{20}{ \frac{3}{2} }$

This will finally give us,

$S_ \infty =20 \times \frac{2}{3}$

$S_ \infty = \frac{40}{3}$

The correct answer is A.

5 0

4 years ago

Read 2 more answers

Y varies inversely as the fourth power of x and when x=3, y=1.

masya89 [10]

The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼

<h3>Inverse variation</h3>

y = k ÷ x^¼

where,

Constant of proportionality = k

When x = 3, y = 1

y = k ÷ x^¼

1 = k ÷ 3^¼

1 = k / 3^¼

cross product

1 × 3^¼ = k

k = 3^¼

Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼

Learn more about inverse variation:

brainly.com/question/10252139

#SPJ1

4 0

1 year ago

Answer this questions for 40 points! :) it is attached.

telo118 [61]

Im so confused by this question but my only guess would be that since a coin is a 1/2 chance getting it heads twice is 1/2 * 1/2 which is 1/4 so the person who best they can get 2 heads in a row pays 1/4 of the bet being 5 dollars because 1/4 of 20 is 5 and the person who bets that they can't get two heads pays 15 dollars because that is 3/4 of the bet

tldr: 1/4 chance to get heads pays 1/4 of bet 5$
3/4 chance not to get heads pays 3/4 of bet 15$

5 0

3 years ago

Read 2 more answers

Write the integer that best represents 23 degrees below zero.

Kitty [74]

If it was 23 degrees below zero it would be -23 degrees

3 0

4 years ago

X² + y² = 36<br> State the domain and range of the relation

meriva

Answer:

Domain: from -6 to 6, inclusive