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Hoochie [10]
2 years ago
14

Which point is a solution to the linear inequality y < x + 2?

Mathematics
2 answers:
jekas [21]2 years ago
7 0
First you can try substituting (0,0) to see if that works because it is the easiest.

0<0+2
0<2

That is true so (0,0) is solution of y
Charra [1.4K]2 years ago
7 0

Answer:

Step-by-step explanation:

When we are looking for a solution of inequality , there are various possibilities. We can have no solution to it or a finite solution of many/infinite solutions . Lets try to figure out one point that is asked to find for this inequality .

The inequality we are dealing with is y < x+2

Since , y= x+2 is an equation of line , it means the given inequality will represent one side of the line on a cartesian axis .

The very basic and easiest point we use to find the solution is (0,0) also known as the origin test . so lets try to figure out if the point (0,0) is a solution or not .

To find if (0,0) is a solution or not we need to plug it in the given inequality and check if it holds true . so when we plug (0,0) we get

0 <0 +2

0< 2

Which is true so we can say that (0,0) is a point which is solution of the given inequality .

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A travel agency made the table below to represent the profits it make on a certain vacation package.
Alex17521 [72]

Answer:

D. A quadratic function since the points are symmetric about the line  x=30.

Step-by-step explanation:

Please consider the complete question.

A travel agency made the table below to represent the profits it make on a certain vacation package.

x                  Profit per Person (in dollars), f(x)

10                     500

20                     800

30                     900

40                     800

50                     500

Which of the following explains the best model for the data in the table?

A) An absolute value function since the values increase and then decrease

B) An exponential function since the ratio of the y-values are about the same.

C) A linear function since the function changes at a rate of 30 dollars per person

D) A quadratic function since the points are symmetric about the line x = 30.

First of all, we will graph all the given points on coordinate plane and then join the points to see the graph.

We can see that point (10,500) is symmetric to point (50,500). Point (20,800) is symmetric to point (40,800).

Upon looking at attached image, we can see that the data forms the shape of a downward opening parabola, which is symmetric to line x=30.

Therefore, a quadratic function best represents the given data because the points are symmetric about the line x=30.

7 0
3 years ago
Read 2 more answers
Solve the system of linear equations by elimination x−2y=−7 3x+2y=3
Amiraneli [1.4K]
Answer: (-1,3)
Explanation: Substitute 3 for y x=2x -7

x=(2)(3)-7

7 0
2 years ago
Patty has a credit card debt of $3,256. She makes a payment of $100. She also charges $524 on the card.
Nonamiya [84]

2632 I think because 624 minus 3256 equals 2632 before finances

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2 years ago
In one month Miranda earned $800 at her part-time job, and $70 was withheld for federal income tax. Suppose she earns $1200 next
My name is Ann [436]
The answer is 105 dollars

7 0
3 years ago
Write an equation of a line in standard form with a x intercept of -5 and a y intercept of 15.
velikii [3]
If this is a slope question then:

We know that the formula for slope is:

y = mx + b ( M being slope, X being the x- intercept and y being the y-intercept)


So if the question asks to write an equation of the line with a x-intercept of -5 and a y- intercept of 15.

So now you substitute -5 for the x-intercept, and 15 for the y-intercept:

So now it's

y = 15m + -5

The m stays since there's no value for m.

So the final answer is: y = 15m + -5


3 0
2 years ago
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