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Nina [5.8K]
3 years ago
10

Algebra 1 please help!! 35 points!!!

Mathematics
1 answer:
Zanzabum3 years ago
4 0

Answer:

x intercept: 5

y intercept: 50

Step-by-step explanation:

  • let us plot the graph for better understanding.
  • we will represent f(x) on y-axis so, the equation will become: y= 50-10x
  • the equation is of the form : y=mx+c

[where, m: slope of the line

c : y-intercept ]

  • meaning of x intercept:  the x-coordinate of the point where the line meets x-axis
  • meaning of y intercept:  the y-coordinate of the point where the line meets y-axis
  • the line y= 50-10x has slope of -10 and it passes through (0,50)

[ (0,50) lies on the line only. substitute and check if the point satisfies the above line equation]

  • by seeing the graph in the attachment and by the definitions given above, we can say that,

x intercept:  5

y intercept: 50

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Which statements are true about the ordered pair (−4, 0) and the system of equations?
stiv31 [10]

The true statements are:

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true ⇒ 1st answer

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true ⇒ 2nd answer

The ordered pair (−4, 0) is a solution to the system because it makes both equations true ⇒ 4th answer

Step-by-step explanation:

To prove that point (a , b) is a solution of an equation

  • Substitute x and y in the equation by a and b
  • If the left hand side is equal to the right hand side, then the point is a solution of the equation
  • If the left hand side doesn't equal the right hand side, the point is not a solution of the equation

∵ The system of equations is:

2x + y = -8 ⇒ (1)

x - y = -4 ⇒ (2)

The ordered pair is (-4 , 0)

Substitute x by -4 and y by 0 in each equation

∵ x = -4 and y = 0

∵ The left hand side in equation (1) is 2x + y

∵ 2(-4) + 0 = -8 + 0 = -8

∴ The left hand side = -8

∵ The right hand side = -8

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (1)

The ordered pair (−4 , 0) is a solution to the first equation because it makes the first equation true

∵ The left hand side in equation (2) is x - y

∵ (-4) - 0 = -4 - 0 = -4

∴ The left hand side = -4

∵ The right hand side = -4

∴ The left hand side = the right hand side

∴ (-4 , 0) is a solution of equation (2)

The ordered pair (−4 , 0) is a solution to the second equation because it makes the second equation true

∵ The ordered pair (-4 , 0) makes the two equations true

∴ The ordered pair (-4 , 0) is the solution of the system of equations

The ordered pair (−4, 0) is a solution to the system because it makes both equations true

Learn more:

You can learn more about the system of linear equations in brainly.com/question/6075514

#LearnwithBrainly

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