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romanna [79]
3 years ago
7

Which function is negative for the interval [-1,1] ?

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

Option (2)

Step-by-step explanation:

Option (1)

In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.

Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.

And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.

Option (2)

In this option, graph is below the x-axis in the interval [-1, 1].

Therefore, the given graph is negative in this interval.

Option (3)

In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.

Option (4)

In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.

So this function is positive in the interval [-1, 1].

Therefore, Option (2) will be the answer.

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Two airplanes are flying in the air at the same height: airplane A is flying east at 250 mi/h and airplane B is flying north at
just olya [345]

Answer:

  decreasing at 390 miles per hour

Step-by-step explanation:

Airplane A's distance in miles to the airport can be written as ...

  a = 30 -250t . . . . . where t is in hours

Likewise, airplane B's distance to the airport can be written as ...

  b = 40 -300t

The distance (d) between the airplanes can be found using the Pythagorean theorem:

  d^2 = a^2 + b^2

Differentiating with respect to time, we have ...

  2d·d' = 2a·a' +2b·b'

  d' = (a·a' +b·b')/d

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To find a numerical value of this, we need to find the values of its variables at t=0.

  a = 30 -250·0 = 30

  a' = -250

  b = 40 -300·0 = 40

  b' = -300

  d = √(a²+b²) = √(900+1600) = 50

Then ...

  d' = (30(-250) +40(-300))/50 = -19500/50 = -390

The distance between the airplanes is decreasing at 390 miles per hour.

3 0
3 years ago
Texas airlines lose 32,400 passengers last week the airline use only airplanes that have a capacity of 216 passengers which equa
mina [271]
B. 33,400=a+216
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Oliga [24]

Answer:

This might help:

3 0
2 years ago
Building a is 160160 feet shorter than building
Serjik [45]
I assume the heights are 160 ft and 1480 ft.

The two heights are unknown, so we will use variable h to help solve the problem.
The shorter building, building A, has height h.
Since building A is shorter by 160 ft, then building B is taller by 160 ft, so the height of building B is h + 160.

Now we add our two heights to find the total height.

h + h + 160 is the total height.
We can write it as 2h + 160

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2h + 160 = 1480

Subtract 160 from both sides

2h = 1320

Divide both sides by 2

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Building A measures 660 ft.
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