3 years ago

Given the function f(x)=-8x2+8x+9,state whether the vertex represents a maximum or minimum point for the function.

Mathematics

1 answer:

Lelechka [254]3 years ago

5 0

8x2+8x+9
=16x+8x+9
=24x+9
Are that right

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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

3 years ago

Read 2 more answers

A map shows a scale of 5cm = 40 miles. The distance from Los Angeles, CA to San Francisco, CA is 400 miles. How far apart will t

nadezda [96]

Answer:

C. 50cm

Step-by-step explanation:

40 * 10 = 400miles

5 * 10 = 50cm

8 0

2 years ago