All categories

3 years ago

Find the indicated limit, if it exists.

Mathematics

1 answer:

Ronch [10]3 years ago

5 0

Answer:

Step-by-step explanation:

$Lim_{x\to 8} f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}$

$Lim_{x\to 8} f(x) = Lim_{x\to 8} 10 - x \\ \\ = 10 - 8 \\ \\ = 2$

You might be interested in

If DH= 9.5 find FH and DF

Readme [11.4K]

What
this makes no sense
there is not enough info

7 0

3 years ago

Can some please help! kinda confused

KonstantinChe [14]

Answer:

x=13

Step-by-step explanation:

7 0

3 years ago

At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you

wolverine [178]

Answer:

%375.15

Step-by-step explanation:

Hope this helps u out

5 0

3 years ago

Read 2 more answers

Im so confused! Can someone help me? I need to find the value of the variable and the measures of the angles.....

nikdorinn [45]

Hello there! I can help you! So what we are looking for is the value of x. To find the value of x, we can write and solve an equation. Set it up like this:

4x + 28 = 180

This is because the sum of the angles for a triangle is 180°. We combine the like terms to get 4x and subtract 6 from 34 to get 28. First off, let's subtract 28 from both sides. 28 - 28 cancel out. 180 - 28 is 152. That simplifies into 4x = 152. Now, divide each side by 4 to isolate the x. 4x/4 cancels out. 152/4 is 38. There's a possible value of x. Let's plug the value in and see if it works. 38 * 2 is 76. 76 - 6 is 70. 38 + 34 is 72. 70 + 72 is 142 and 142 + 38 is 180. 180 = 180. There. x = 38. Here are the answers for the angle measurements:

(x + 34) = 72°
(2x - 6) = 70°
x° = 38°

4 0

3 years ago

As shown at the right, rectangle abcd has vertices c and d on the. V-axis and vertices a and b on the part of the parabola y — 9

Sergio039 [100]

a) The <em>perimeter</em> function of the rectangle is $p = 18\cdot x -2\cdot x^{3}$ .

b) The domain of the <em>perimeter </em>function is $x \in [-3, 3]$ .

<h3>How to analysis the perimeter formula of a rectangle inside a parabola</h3>

a) The perimeter of a rectangle ( $p$ ) is the sum of the lengths of its four sides:

$p = AB\cdot AC$ (1)

If we know that $AB = 2\cdot x$ and $AC = 9-x^{2}$ , then the perimeter of the rectangle is represented by the following formula:

$p = 2\cdot x \cdot (9-x^{2})$

$p = 18\cdot x -2\cdot x^{3}$

The <em>perimeter</em> function of the rectangle is $p = 18\cdot x -2\cdot x^{3}$ . $\blacksquare$

b) The domain of the function is the set of values of $x$ associated to the function. After a quick inspection, we find that the domain of the <em>perimeter </em>function is $x \in [-3, 3]$ . $\blacksquare$

<h3>Remark</h3>

The statement is incomplete and poorly formatted. The correct form is described below:

<em>As shown at the right, rectangle ABCD has vertices C and D on the x-axis and vertices A and B on the part of the parabola </em> $y = 9-x^{2}$ <em> that is above the x-axis. a) Express the perimeter </em> $p$ <em> of the rectangle as a function of the x-coordinate of A. b) What is the domain of the perimeter function?</em>

To learn more on rectangles, we kindly invite to check this verified question: brainly.com/question/10046743

4 0

2 years ago