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3 years ago

Why does the series not exist?

Mathematics

1 answer:

Ber [7]3 years ago

5 0

Step-by-step explanation:

(7n − 5) / (2n + 5) approaches 7/2 as n approaches infinity. However, this is an alternating series. So the function is fluctuating between -7/2 and +7/2. So the limit does not exist.

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Well I'm having troubles with something I have no idea what it is or how to do it. The problem is x^2 -18x+8=0. I only know how

Lubov Fominskaja [6]

Answer:

$x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}$

$x = \frac{-(-18) +\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 +2 \sqrt{73}}{2}= 9 +\sqrt{73}$

Step-by-step explanation:

We have the following equation:

$x^2 -18 x +8 =0$

We can use the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where:

$a = 1 , b=-18, c =8$

And replacing we got:

$x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}$

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6 0

3 years ago

Evaluate the function f(x) = 2x2 - 6x + 3 for x = -1.

nadya68 [22]

Answer:

f(-1) = 11

Step-by-step explanation:

f(x) = 2x^2 - 6x + 3

Let x = -1

f(-1) = 2(-1)^2 -6(-1) +3

=2*1 +6 +3

=2+6+3

= 11

4 0

3 years ago

Which graph represents the solutions to the inequality |2x − 6| less than or equal to 10?

kakasveta [241]

Answer: Choice A

---------------------------------

Explanation:

The rule I'm going to use is if |x| <= k, then -k <= x <= k
where k is some positive number
The notation <= means "less than or equal to"

|2x-6| <= 10
-10 <= 2x-6 <= 10 ... use the rule mentioned above
-10+6 <= 2x-6+6 <= 10+6 ... add 6 to all sides
-4 <= 2x <= 16
-4/2 <= 2x/2 <= 16/2 ... divide all sides by 2
-2 <= x <= 8

So we'll have a number line with closed circles at -2 and 8. The shaded region is between the closed circles.
This is a shorthand way of saying what choice A is saying. For some reason, your teacher decided to make the wording more clunky.
Saying "shading to the right of -2 and shading to the left of 8" is the same as "shading between -2 and 8"
So that's why choice A is the answer

Note: the closed circle indicates we include the endpoint as part of the solution set, or shaded region.

5 0

4 years ago