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Andrej [43]
3 years ago
9

Please help me with domain and range of graphs Part 1​

Mathematics
1 answer:
dybincka [34]3 years ago
8 0

Answer:

  • see the attached for domain
  • Range: (-∞, 4], [3, ∞), [-3, 1]

Step-by-step explanation:

The domain is the horizontal extent of the graph. When the graph has arrows on the end, it extends to infinity in the indicated direction.

__

The range is the vertical extent of the graph.

<u>Left Graph</u>

We assume the curve is intended to touch, not cross, the line y=4, so the range is ...

  range: (-∞, 4]

__

<u>Middle Graph</u>

We assume the graph continues along the line y=3 to the right indefinitely. Then this value is the minimum of the range.

  range: [3, ∞)

__

<u>Right Graph</u>

The low point on the graph is at y=-3, and it looks like the graph continues to the right along the line y=1. Then the range is ...

  range: [-3, 1]

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How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
lidiya [134]

Q. How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?

Solution:

Here we are given with the sides of the triangle as 5m, 16m and 5.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. But this inequality fails here.

Hence no triangle can be made.

So the correct option is None.

Q.How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?

Solution:

Here we are given with the sides of the triangle as 6m, 2m and 7m.

As the Triangle inequality we know that

The sum of the length of the two sides should be greater than the length of the third side. The given values follows the triangle inequality.

Hence one triangle can be formed.

So the correct option is  one.

8 0
3 years ago
During a dry year, the reservoir level dropped 512 feet. The next year the level rose 314 feet. Which expression shows the total
tia_tia [17]

Answer:

You will be hot as shet

Step-by-step explanation:

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5 0
3 years ago
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

Thus;

12^2 = 5^2 + h^2

169= 25 + h^2

h^2 = 169-25

h^2 = 144

h = √1144 inches = 12 inches

The volume of the cone is;

1/3 * π * r^2 * h

= 1/3 * π * 5^2 * 12

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4 0
2 years ago
Find the quotient of 2,300 and (0.4 · 10-8). In your final answer, include all of your calculations.
BigorU [14]
The first number in this item can be also expressed as 2.3 x 10³. Now, dividing the numbers 2.3 and 0.4 will give us an answer of 5.75. There exists a rule which states that when two similar numbers are divided only having different exponents, their exponents should be subtracted. The final answer to this item is therefore,
                                    5.75 x 10¹¹
5 0
3 years ago
H=-5 and w=2, work out the value of 4h-3w
olganol [36]
You would simply have to plug in, or substitute, the given values in the equations.

So, H=-5, W=2 and the problem is 4h-3w

To plug them in, your new equation would be 4(-5)-3(2) and simplify. So it becomes -20-6 which = -26. 

And -26 would be your answer.
3 0
3 years ago
Read 2 more answers
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