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Vaselesa [24]
1 year ago
8

To which graph does the point (2, 4) belong?

Mathematics
2 answers:
Pie1 year ago
6 0

Answer:

Option (3) is correct.

(2,4) belongs to y ≥ 4x - 5

Step-by-step explanation:

Given : the point (2,4)

We have to find the equation of graph to which the point (2,4) belongs.

We will substitute the point in the  each given equation and for which the point satisfies will contain the point.

For 1) y ≥ x + 3

Put x = 2 and y = 4

⇒ 4 ≥ 2 + 3

⇒  4 ≥ 5 (false)

For 2) y ≥ -x + 8

Put x = 2 and y = 4

⇒  4 ≥ -2 + 8

⇒  4 ≥ 6 (false)

For 3) y ≥ 4x - 5

Put x = 2 and y = 4

⇒  4 ≥ 4(2) - 5 = 8 - 5

⇒  4 ≥ 3 (true)

For 4) y ≥ -2x + 9

Put x = 2 and y = 4

⇒  4 ≥ -4 + 9

⇒  4 ≥ 5 (false)

Since, the point (2,4) satisfies only inequality y ≥ 4x - 5.

Thus, (2,4) belongs to y ≥ 4x - 5

DaniilM [7]1 year ago
5 0
(2,4) belongs to the graph y is greater than or equal to 4x - 5
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Answer:

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Use technology or a z-distribution table to find the indicated area.
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A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo
Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

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           X = 3, 4 , 5 , 6 , 7, 8

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To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒0.1+?+0.14+0.3+0.36+0.06 = 1

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⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

0.04\times 50

⇒ 2 no. of people work for four hours per shift .


5 0
1 year ago
Read 2 more answers
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