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IgorLugansk [536]

2 years ago

12

Which statement about convergent infinite

1 answer:

balandron [24]2 years ago

8 0

Answer:

B) Convergent infinite geometric series sum to a single value

Step-by-step explanation:

An infinite geometric series of the form $\[ \sum_{r=1}^{\infty} ar^{n-1}$ converges if $|r|$ , so the summation of the series will result in a single value if that is true.

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Plzzzz help !!!! I need this done

STatiana [176]

Answer:

A) x + 2 ≤ 3

Step-by-step explanation:

To solve for this, you subtract 2 from both sides leaving you with:

x ≤ 1

which is what the graph is showing.

3 0

2 years ago

given a point A is on a coordinate plane in quadrant I. if it is rotated 90° counter clockwise then reflecred across the y axis.

den301095 [7]

Answer:

it would be -90⁰ because its clockwise its the opposite direction

7 0

3 years ago

For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant

nirvana33 [79]

Answer:

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of $y$ with respect to $x$ over the interval by definition of secant line:

$r = \frac{y(b) -y(a)}{b-a}$ (1)

Where:

$a$ , $b$ - Lower and upper bounds of the interval.

$y(a)$ , $y(b)$ - Function exaluated at lower and upper bounds of the interval.

If we know that $y = 3\cdot x^{2}$ , $a = 3$ and $b = 6$ , then the average rate of change of $y$ with respect to $x$ over the interval is:

$r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}$

$r = 27$

The average rate of change of $y$ with respect to $x$ over the interval $[3,6]$ is 27.

b) The instantaneous rate of change can be determined by the following definition:

$y' = \lim_{h \to 0}\frac{y(x+h)-y(x)}{h}$ (2)

Where:

$h$ - Change rate.

$y(x)$ , $y(x+h)$ - Function evaluated at $x$ and $x+h$ .

If we know that $x = 3$ and $y = 3\cdot x^{2}$ , then the instantaneous rate of change of $y$ with respect to $x$ is:

$y' = \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}$

$y' = 6\cdot \lim_{h \to 0} x +3\cdot \lim_{h \to 0} h$

$y' = 6\cdot x$

$y' = 6\cdot (3)$

$y' = 18$

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

5 0

2 years ago

Which is the definition of a ray?

zlopas [31]

Answer:

a part of a line that has one endpoint and extends indefinitely in one direction

Step-by-step explanation:

a ray has one endpoint, then has an arrow going indefinitely in one direction.

8 0

2 years ago

-6 is less than or equal to x, and -1 is greater than x

Olenka [21]

Answer:

Negative

Step-by-step explanation:less than

5 0

3 years ago

Read 2 more answers