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2 years ago

I need help it’s my final!

Mathematics

1 answer:

Natasha2012 [34]2 years ago

3 0

The answer is D because linear functions represent y=mx+b and D is the one that represents it.

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Use the definition of continuity and the properties of limit to show that the function f(x)=x sqrtx/ (x-6)^2 is continuous at x=

jasenka [17]

Answer:

The function $\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$ is continuous at x = 36.

Step-by-step explanation:

We need to follow the following steps:

The function is:

$\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$

The function is continuous at point x=36 if:

The function $\\ f(x)$ exists at x=36.
The limit on both sides of 36 exists.
The value of the function at x=36 is the same as the value of the limit of the function at x = 36.

Therefore:

The value of the function at x = 36 is:

$\\ f(36) = \frac{36*\sqrt{36}}{(36-6)^{2}}$

$\\ f(36) = \frac{36*6}{900} = \frac{6}{25}$

The limit of the $\\ f(x)$ is the same at both sides of x=36, that is, the evaluation of the limit for values coming below x = 36, or 33, 34, 35.5, 35.9, 35.99999 is the same that the limit for values coming above x = 36, or 38, 37, 36.5, 36.1, 36.01, 36.001, 36.0001, etc.

For this case:

$\\ lim_{x \to 36} f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$

$\\ \lim_{x \to 36} f(x) = \frac{6}{25}$

Since

$\\ f(36) = \frac{6}{25}$

And

$\\ \lim_{x \to 36} f(x) = \frac{6}{25}$

Then, the function $\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}$ is continuous at x = 36.

8 0

3 years ago

Y’all please help me with this I don’t understand

Yanka [14]

Answer: I believe it’s 8

Step-by-step explanation:

It’s 13 minus 5

3 0

2 years ago

Read 2 more answers

for what value of the variable the value of the expression 4(5x-8) is 4 more than the value of the expression 2(4-x)

Zigmanuir [339]

Answer:

For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)

Step-by-step explanation:

Given expressions are;

4(5x-8) and 2(4-x)

For 4 more than the second expression, we will add 4 with second expression.

4(5x-8) = 2(4-x) + 4

20x - 32 = 8 -2x +4

20x + 2x = 12 + 32

22x = 44

Dividing both sides by 22

$\frac{22x}{22}=\frac{44}{22}\\x=2$

Hence,

For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)

7 0

3 years ago

Johnny is reading a novel for the read-a- Thon. The ratio of the number of pages she read to the pages that remain to be read is

mart [117]

There are several ways to answer this question and I will use this approach. Since Johnny reads at a ratio of 7:3 it can be stated that for every 10 pages in a book containing 500 pages Johnny will read 7 of those pages. There are 50 groups of 10 in a 500-page book (50 x 10). Take the ration 7:3 times 50 and use the distributive property: 7:3(50) = (7 x 50):(3 x 50) = 350:150. Based on this Johnny has read 350 pages and has 150 pages remaining.

7 0

3 years ago

Campbell’s paycheck was $257.29. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills.

Stells [14]

Answer:

She has $128.65 left

Step-by-step explanation:

$257.29 x 1/4 = $64.32

$257.29 - $64.32 = $192.97

$192.97 x 1/3 = $64.32

$192.97 - $64.32 = $128.65

<u>BRAINLIEST PLEASEEE</u>

4 0

2 years ago

Read 2 more answers