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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

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Which of the following could lead to a misleading graph?

natima [27]

Answer:

The intervals on the y-axis are inconsistent.

Step-by-step explanation:

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2 years ago

Find the area of a parallelogram with the given vertices. P(-2, -5), Q(9, -5), R(1, 5), S(12, 5)

valentina_108 [34]

Answer:

The area of the parallelogram is 55 square unit.

Step-by-step explanation:

The area of a parallelogram is

$A=\frac{1}{2}\times base\times height$

It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).

Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.

From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is

$A=\frac{1}{2}\times 11\times 10$

$A=55$

Therefore the area of the parallelogram is 55 square unit.

4 0

2 years ago

Answer it answer it answer it

Usimov [2.4K]

Answer:

The correct option is;

C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2

Step-by-step explanation:

The area of the square frame is the area of the inner square subtracted from the area of the outer square

Which gives;

52.2² - 47.8² = 440

Therefore;

Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame

Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is a correct way of finding the area of the square frame

Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame

The error is the thickness is 2.2 not 4.4

Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440, is a correct way of finding the area of the square frame

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2 years ago

Please Help <br> Which fuction is the inverse of f(x)=50,000(0.8)^x

RUDIKE [14]

D is the correct answer to your question

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2 years ago

state whether the lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are parallel, perpendicular, or neither.

Zepler [3.9K]

Parallel because they have the same slope. Y+4= -1/2(x-2) is in point slope form, simplified to y intercept form is y=1/2-5... The slope (m) in both equations is the same, if you graphed the equations they would be parallel

7 0

2 years ago