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liubo4ka [24]
2 years ago
14

The inequality 2x+2≤x+4≤3x+4 means that x is in the closed interval [A,B]

Mathematics
2 answers:
Alex_Xolod [135]2 years ago
5 0

Answer:

Step-by-step explanation:

2x+2≤x+4≤3x+4

means : 2x+2≤x+4  ...(1) and x+4≤3x+4

(1) : 2x-x≤4-2   so : x≤2....(*)

(2) :3x+4 ≥x+4    .... 3x-x ≥ 0    so: x≥0 ....(**)

by (*) and (**) : 0≤x≤2   so : A=0  and B = 2

kap26 [50]2 years ago
5 0
Hope you can understand this easily

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Mary takes a sightseeing tour on a helicopter that can fly 450 miles against a 35 mph headwind. In the same amount of time it ca
monitta

Answer:

V = 160mph

Step-by-step explanation:

We need to start from the formula of speed: V=d/t

We have two travels, with and against the wind, both done in the same time.

Clearing t from the formula, we will have: t=d/V2

450miles/V-35mph (speed of the wind is subtracted)

702miles/V+35mph (speed of the wind is subtracted)

Now, we find V:

450miles/V-35mph = 702miles/V+35

450*V+35 = 702*V-35

450V+15,750 = 702V-24,570

702V-450V = 15,750 + 24,570

252V = 40,320

V = 40,320/252

V = 160mph

5 0
3 years ago
Identify the Minimum, First Quartile, Median, Third Quartile, and Maximum for the data.
Ymorist [56]

Answer:

I think we are missing data, so this is impossible to answer.

3 0
3 years ago
Explain how you can use absolute value to tell whether
kicyunya [14]

Answer:

Let the integers are p and q.

In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.

<u>Examples:</u>

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In case one of the integers is negative and one positive.

  • p < 0, q > 0

Use absolute value in this case.

Subtract the numbers and apply the sign of the number with the greater absolute value.

<u>Examples:</u>

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3 0
2 years ago
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Elenna [48]

Answer:

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Step-by-step explanation:

5 0
2 years ago
A firm has a fixed cost of $500 in its first year of operation. When the firm produces 100 units of output, its total costs are
HACTEHA [7]

Answer:

option (a) $250

Step-by-step explanation:

Data provided in the question:

Fixed cost = $500

For 100 units produced Total cost = $3,500

For 101 units produced, Total cost = $3,750

Now,

Marginal cost is calculated as:

Marginal cost = \frac{\textup{Total change in cost of producing more goods}}{\textup{Total change in produced goods}}

thus,

Marginal cost = \frac{\textup{Total cost of 101 units - Total cost of 100 units}}{\textup{101-100}}

or

Marginal cost = \frac{\textup{3,750-3,500}}{\textup{1}}

or

Marginal cost = $250

Hence,

The correct answer is option (a) $250

7 0
3 years ago
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