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zzz [600]
3 years ago
15

Graphing inequalities in two variables

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0
The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
Example
Is (1, 2) a solution to the inequality
2x+3y>1

2⋅1+3⋅2>?1

2+5>?1

7>1

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Example
Graph the inequality
y≥−x+1

picture44
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9 is subtracted from 5 times 3 and 10 is added.​
Bess [88]

Answer:

22

Step-by-step explanation:

9-5=4

4*3=12

12+10=22

8 0
4 years ago
Read 2 more answers
Use the following graph of the function f(x) = x3 − 3x2 − x + 3 to answer this question:
WITCHER [35]

Answer:

the average rate of change is equal to 0

Step-by-step explanation:

we have

f(x)=x^{3}-3x^{2}-x+3 -----> a cubic function

For x=-1

The value of f)x) is equal to

f(-1)=0 -----> see the graph

For x=3

The value of f(x) is equal to

f(3)=0 -----> see the graph

so

we know that

the average rate of change  using the graph is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

f(a)=f(-1)=0

f(b)=f(3)=0

a=-1

b=3

Substitute

\frac{0-0}{3+1}=0


8 0
3 years ago
Read 2 more answers
2+3=5 doubles facts to find sum
lesya [120]
so if I'm correct what you do is you multiply 5 times 2
7 0
3 years ago
Describe the three base materials in soil in terms of porosity and permeability.
777dan777 [17]

<u>Porosity:</u>

  1. Porosity is an intrinsic property of every material.
  2. It refers to the amount of empty space within a given material.
  3. In a soil or rock the porosity (empty space) exists between the grains of minerals.
  4. The amount of water a material can hold is directly related to the porosity since water will try and fill the empty spaces in a material.
  5. We measure porosity by the percentage of empty space that exists within a particular porous media.

<u>Permeability:</u>

  1. Permeability is another intrinsic property of all materials and is closely related to porosity.
  2. Permeability refers to how connected pore spaces are to one another.
  3. If the material has high permeability than pore spaces are connected to one another allowing water to flow from one to another, however, if there is low permeability then the pore spaces are isolated and water is trapped within them.
7 0
3 years ago
Treys test score average decreased by 14 points this semester. Write a signed number to represent this change in average.
larisa [96]

Answer:

-14

Step-by-step explanation:

Given: Trey's test score average decreased by 14 points this semester.

To find: a signed number to represent this change in average.

Solution:

The decrease can be denoted by minus (-) sign and increase can be denoted by plus (+) sign.

So, a signed number to represent the change in test score average is -14

5 0
3 years ago
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