Which ordered pair is not included in the graph of p=3m+6

Mathematics

1 answer:

Rasek [7]2 years ago

4 0

Answer:

(3,12) and (6,18)

Step-by-step explanation:

An order pair is not included if it make the equation false. Substitute each pair to determine this.

(1,9) ----> 9 = 3(1) + 6 -----> 9 = 9 TRUE

(3,12) ---> 12 = 3(3) + 6 ----> 12 = 15 FALSE

(10,36) ---> 36 = 3(10) + 6 -----> 36 = 36 TRUE

(6,18) ----> 18 = 3(6) + 6 ----> 18 = 24 FALSE

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The sum of two numbers is 53 and the difference is 11. What are the numbers?

vaieri [72.5K]

Let assume that the the two numbers are X and Y and that X is the large number.
According to the question,
X + Y = 53 .................. Equation 1
then, X = 11 + Y........... Equation 2
Substitute equation 2 into equation 1.
[11 + Y] + Y = 53
11 + 2Y = 53
2Y = 53 - 11 = 42
2Y = 42
Y = 42 / 2 = 21,
Therefore, Y = 21 [Small number].
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X +Y = 53
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X = 53 - 21 = 32.
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2 years ago

Which statements are true about the graph of the system of linear inequalities? Check all that apply. y > 3x – 4 y < x + 1

romanna [79]

Answer:

The graph of y > 3x − 4 has shading above a dashed line.
The graph of y < x + 1 has shading below a dashed line.
The graphs of the inequalities will intersect.

Step-by-step explanation:

y > ... means the shading will be above the corresponding line.

y < ... means the shading will be below the corresponding line.

These lines have different slopes, so the solution spaces must overlap, hence there must be solutions to the system.

_____

Comment on last choice

It isn't clear exactly what is intended by the last offered statement. Both of the listed points are in the solution space of y > 3x-4. Neither point is in the solution space of y < x+1.

Together, the two graphs intersect the entire y-axis. Jointly, they only intersect the y-axis on the interval -4 < y < 1.

The y-intercepts of the two boundary lines are (0, 1) and (0, -4). Neither of these points is in the solution space of the system of inequalities.