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3 years ago

What is the domain of the function shown in the mapping?

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

7 0

Answer: Choice A
The domain is the set {-5, -3, 1, 2, 6} which can be written as {x| x=-5, -3, 1, 2, 6} if you want to make it clear that x is involved with the domain.

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Explanation:

The domain is the set of x values, or the set of inputs, of a function or relation. All you have to do is list off the values in the "input" oval. Those values from top to bottom are: -3, 2, -5, 1, 6. Sort them out from smallest to largest and you get -5, -3, 1, 2, 6 which points us to choice A.

Another route you could go is eliminating choices B, C and D because -9 is not in the "input" oval.

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What the 15th sequence for 4.5n-8

damaskus [11]

Given:
The sequence formula;
Tn = 4.5n - 8 (Where n = term number)

Required:
15th term = ?

Procedure:
All you need to do is use n = 15

T15 = 4.5(15) - 8
T15 = 59.5

Conclusion:
The 15th term of the sequence is 59.5.

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3 years ago

A school assembly had 90 students in attendance, and 80% of them were first-graders. How many first-graders were at the assembly

Sav [38]

the answer is 72! Hope this helps! :)

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3 years ago

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Without graphing is the system independent, dependent, or inconsistent?

rewona [7]

Y = -2 x - 9
3 x - 4(-2 x - 9 ) = -8
3 x + 8 x + 36 = - 8
11 x = - 44, x = - 4
y = 8 - 9 , y = -1
This is a unique solution, the system is independent.

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4 years ago

A. Complete the table if y varies

serious [3.7K]

Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x

Table 1:

y = k × x

30 = k × 5

30 = 5k

k = 30/5

k = 6

So,

y = 30

y = 30 k = 6

y = 30 k = 6x = 5

y = 30 k = 6x = 5Equation: y = 6x

y = k × x

y = 10 × 8

y = 80

So,

y = 80

y = 80 k = 10

y = 80 k = 10x = 8

y = 80 k = 10x = 8Equation: y = 10x

y = 3x

18 = 3x

x = 18/3

x = 6

So,

y = 18

y = 18k = 3

y = 18k = 3x = 6

y = 18k = 3x = 6Equation: y = 3x

y = 2x²

72 = 2x²

x² = 72/2

x² = 36

x = √36

x = 6

So,

y = 72

y = 72k = 2

y = 72k = 2x = 6

y = 72k = 2x = 6Equation: y = 2x²

Table 2:

y = k/x

5 = k/6

5 × 6 = k

30 = k

So,

y = 5

y = 5k = 30

y = 5k = 30x = 6

y = 5k = 30x = 6Equation: y = 30/x

y = k/x

y = 36/4

y = 9

So,

y = 9

y = 9k = 36

y = 9k = 36x = 4

y = 9k = 36x = 4Equation: y = 36/x

y = 60/x

20 = 60/x

20x = 60

x = 60/20

x = 3

So,

y = 20

y = 20k = 60

y = 20k = 60x = 3

y = 20k = 60x = 3Equation: y = 60/x

y = 24/x

y = 24/12

y = 2

So,

y = 2

y = 2k = 24

y = 2k = 24x = 12

y = 2k = 24x = 12Equation: y = 24/x

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3 years ago

Find f(-1) when f(x) = x 2 - 5x - 3

irga5000 [103]

Answer:

f(- 1) = 3

Step-by-step explanation:

To evaluate f(- 1) substitute x = - 1 into f(x) , that is

f(- 1) = (- 1)² - 5(- 1) - 3 = 1 + 5 - 3 = 3

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3 years ago

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