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kodGreya [7K]
3 years ago
13

Determine if the equation is linear. If so, graph the function.

Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

The equation is not linear

Step-by-step explanation:

You are given the equation

\dfrac{2}{x}+\dfrac{y}{4}=\dfrac{3}{2}

Express y in terms of x:

\dfrac{y}{4}=\dfrac{3}{2}-\dfrac{2}{x}\\ \\\dfrac{y}{4}=\dfrac{3x-4}{2x}\\ \\y=4\cdot \dfrac{3x-4}{2x}\\ \\y=\dfrac{6x-8}{x}

The linear function must of form

y=mx+b,

where m and b are real numbers.

Your function is not of this form, so this is not a linear function.

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Round 66,681 to the nearest ten thousand
kolezko [41]

Answer:

70,000

Step-by-step explanation:

66,681 is closest to 70,000 rather than 60,000.

6 0
3 years ago
Read 2 more answers
A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don
ankoles [38]

Answer:

\huge\boxed{77}

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

<u>Finding the factors for all of the multiples of 7:</u>

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

7 0
3 years ago
Read 2 more answers
From the diagram below, of the distance between the tree and point B is 125 meters, and the angle of depression from the top of
ankoles [38]

Answer:

a. 129 meters

Step-by-step explanation:

The given parameters of the tree and the point <em>B</em> are;

The horizontal distance between the tree and point <em>B</em>, x = 125 meters

The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°

Let <em>h</em> represent the height of the tree

The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;

The angle of depression = The angle of elevation = 46°

By trigonometry, we have;

tan(θ) = h/x

∴ h = x × tan(θ)

Plugging in the values of the variables gives;

h = 125 × tan(46°) ≈ 129.44

The height of the tree, h ≈ 129 meters

3 0
3 years ago
A small fishing boat's outboard motor requires a mixture of gasoline and oil for fuel. The mixture called for in the owner's man
NARA [144]
I hope this helped:)

5 0
3 years ago
Suppose you have 5 riders and 5 horses, and you want to pair them off so that every rider is assigned one horse (and no horse is
maw [93]

There are 120 ways in which 5  riders and 5 horses can be arranged.

We have,

5 riders and 5 horses,

Now,

We know that,

Now,

Using the arrangement formula of Permutation,

i.e.

The total number of ways ^nN_r = \frac{n!}{(n-r)!},

So,

For n = 5,

And,

r = 5

As we have,

n = r,

So,

Now,

Using the above-mentioned formula of arrangement,

i.e.

The total number of ways ^nN_r = \frac{n!}{(n-r)!},

Now,

Substituting values,

We get,

^5N_5 = \frac{5!}{(5-5)!}

We get,

The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,

So,

There are 120 ways to arrange horses for riders.

Hence we can say that there are 120 ways in which 5  riders and 5 horses can be arranged.

Learn more about arrangements here

brainly.com/question/15032503

#SPJ4

7 0
2 years ago
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