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ICE Princess25 [194]
3 years ago
12

Which of the following functions are continuous. Select all that apply.

Mathematics
2 answers:
MrMuchimi3 years ago
7 0
<h2>Answer:</h2>

The function which are continuous are:

                Function 2 and Function 3.  (graphs attached)

<h2>Step-by-step explanation:</h2>

We know that a function is said to be a continuous function if the limit at each of the points exist and is equal to the value of the function at that point.

Also, in the graph of a continuous function there is no break i.e. the graph is connected at all the points.

  • Here we observe that in the first graph there is a break close to x=0.

      and hence the function is not continuous.

  • The graph of second function is continuous since the limit exist at all the points.
  • The graph of the third function is again continuous.
  • But the graph of the fourth function is not continuous since, the left as well as right hand limit at  x= -1 is not equal.

This means that the limit at x= -1 does not exist and hence the function is not continuous.

Temka [501]3 years ago
5 0
>>1st one- at X=0 Y=DNE so the function is not continious.
>>2nd one- there is Y value for every X so the function is continious.
>>3rd one- there is Y value for every X so the function is continious.
>>4th one- f(-1)=1 does not equal the limit of f(x).


because the limit as X aprroaches from the left and from ther right is different.
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The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr
malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

A = \frac {b * h} {2}

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

b = 6 + 2h

Substituting we have:

88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0

We divide between 2 on both sides:

h ^ 2 + 3h-88 = 0

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

(h + 11) (h-8) = 0

We have two roots:

h = -11\\h = 8

We choose the positive value.

Thus, the base of the triangle is:b = 6 + 2 (8) = 22

Answer:

The base of the triangle is 22 units.

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3 years ago
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5x-2=3x+8 must find what X is equal to
serious [3.7K]
I had homework on this today lol

First, add 2 to both sides. It would then be 5x = 3x + 10. Then subtract 3x from both sides and you would end up with 2x = 10. Divide 2x by 2 and the 10 by 2. The answer is x = 5.
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Answer:

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Step-by-step explanation:

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the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

      <em>  a=-2, b=20, c=48</em>

x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5

h(5) = -2(5)² + 20(5) + 48

      =  -50   +  100   + 48

      =          50         + 48

      =                98

Answer: 98 meters

8 0
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