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2 years ago

What are the critical points for the inequality 2x+5/x-2≥x-1/x-2?

2 answers:

3 0

1) When the denominator equals zero that is a critical point

=> x - 2 = 0 => x = 2.

So x = 2 is a critical point

2) Simplify the numerator to find an expresion of the king p(x) ≥ 0 or p(x) ≤ 0. Where p(x) equals zero you have other(s) critical point(s)

Multiply both terms:

[2x + 5] / [ x - 2] = [x - 1] / [x - 2]

for x ≠ 2 => 2x + 5 = x - 1

=> 2x - x = - 1 - 5

=> x = - 6

Then, the two critical points are x = 2 and x = - 6.

Answer: option B.

expeople1 [14]2 years ago

3 0

Answer:

B. x=-6 and x=2

Step-by-step explanation:

Which shows all the critical points for the inequality?

x = 1, and x = 2

x = –6 and x = 2

x = –4 and x = 2

x = 2

You might be interested in

The salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation o

andrey2020 [161]

Answer:

D. 54,900

Step-by-step explanation:

We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.

To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.

First of all, we will find z-score corresponding to probability $0.975(1-0.025)$ using normal distribution table.

From normal distribution table, we get z-score corresponding is $1.96$ .

Now, we will use z-score formula to find sample score as:

$z=\frac{x-\mu}{\sigma}$ , where,

$z$ = Z-score,

$z$ = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation

$1.96=\frac{x-50,000}{2,500}$

$1.96*2,500=\frac{x-50,000}{2,500}*2,500$

$4900=x-50,000$

$4900+50,000=x-50,000+50,000$

$54900=x$

Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.

4 0

3 years ago

What is the solution set for this inequality? -8x + 40>-16

dolphi86 [110]

Answer:

x<7

Step-by-step explanation:

hope this helps :)

3 0

2 years ago

I need an answer! NO LINKS PLS! il give brainlist

cricket20 [7]

Answer:

D. The company's chocolate bars weigh 3.2 ounces on average.

Step-by-step explanation:

We are given that a company claims that its chocolate bars weigh 3.2 ounces on average.

The company took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.

Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.

Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.

Thus Option D is correct.

D. The company's chocolate bars weigh 3.2 ounces on average.

4 0

2 years ago

Fatore a equação 2x²-3xy-2y²-2x-11y-12

Keith_Richards [23]

2x²-3xy-2y²-2x-11y-12

Write -3xy as a difference

2x²+xy-4xy-2y²-2x-11y-12

write -2x as a difference

2x²+xy-4xy-2y²+4x-6x-11y-12

Write -11y as a difference

2x²+xy-4xy-2y²+4x-6x-8y-3y-12

Factor out 2x from the expression

2x×(x-2y-3)+xy-2y²+4x-8y-3y-12

Factor out y from the expression

2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12

Factor out 4 from the expression

2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)

Factor out x-2y-3 from the expression

Answer: (x-2y-3)x(2x+y+4)

PLEASE MARK ME AS BRAINLIEST!!

3 0

3 years ago

Find the missing length. 8 3 с C = = ✓ [?] Pythagorean Theorem: a2 + b2 = 2

Keith_Richards [23]

Answer:

✓73 or approximately 8.54

Step-by-step explanation:

✓ 8²+3² = ✓ 73 or approximately 8.54

4 0

2 years ago