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ladessa [460]
3 years ago
13

The average of 16 and x is 3. Find x.

Mathematics
2 answers:
IrinaK [193]3 years ago
6 0

Answer:

x = - 10

Step-by-step explanation:

Average is calculated as

average = \frac{sumofdata}{count} , thus

\frac{16+x+3}{3} = 3

Multiply both sides by 3 to clear the fraction

19 + x = 9 ( subtract 19 from both sides )

x = - 10

grigory [225]3 years ago
6 0

Answer:

x=-10

Step-by-step explanation:

:)

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Given A = {x | x < 1}, B = {x | x ≥ 5}, and C = {x | x = 5}, match the following items. 1. A B Ø 2. A C {x | x ≥ 5} 3. B C {x
ivann1987 [24]

Answer:

The matching is shown below.

Step-by-step explanation:

The given sets are defined as

A = {x | x < 1}

It means all the values of x which are less than 1.

B = {x | x ≥ 5}

It means all the values of x which are greater than or equal to 5.

C = {x | x = 5}

It means all the value of x is 5.

Union of two sets contains all the elements of both sets.

Intersection of two sets contains only common elements of both sets.

The matching is shown below.

        Sets                              Correct value

1.     A ∪ B                         {x | x < 1 or x ≥ 5}

2. A ∪ C                         {x | x < 1 or x = 5}

3. B ∪ C                         {x | x ≥ 5}

4. A ∩ B                         Ø

5. B ∩ C                         {x | x = 5}

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3 years ago
Determine the center and radius of the following circle equation:
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Answer:

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Step-by-step explanation:

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where (h, k) are the coordinates of the centre and r is the radius

Given

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x² - 12x + y² - 18y = - 108

To obtain standard form use the method of completing the square

add ( half the coefficient of the x and y terms )² to both sides

x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81

(x - 6)² + (y - 9)² = 9 ← in standard form

with centre = (6, 9 ) and r = \sqrt{9} = 3

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Solve for x xx: 7 x + 4 9 ∘ 7x+49 ​∘ ​​ 2 x + 9 4 ∘ 2x+94 ​∘ ​​
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