1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LUCKY_DIMON [66]
3 years ago
10

Graph the system of linear inequalities, please explain the process in solving this problem so I know how to do ones similar to

this!

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Graph the system of linear inequalities

x + y > 5

- x - y < -5

First we graph x + y >5

Step 1: replace > symbol by = sign

x + y =5

step 2 : Solve the equation for y

x + y =5 (subtract x from both sides)

y = 5 - x

step 3: Now we make a table . plug in some number for x  and find out y

x -----> y

-1 -----> 6   ( y=5-x => y=5-(-1)= 6)

0 -----> 5   ( y=5-x => y=5-(0)= 5)

1 -----> 4   ( y=5-x => y=5-(1)= 4)

Step 4:  we graph the table.

step 5: Shade the region that satisfies our inequality

x + y > 5. Greater than symbol implies that we shade the graph to the right

Graphing second inequality - x - y < -5

All terms have negative sign . so divide all the terms by -1. When we divide an inequality by -1 its sign changes

- x - y < -5 becomes x + y > 5

Follow the same steps to graph this inequality

After dividing the second equation  by -1 , we got the same as the first equation.

So we will get the same graph

Both graphs overlaps

The graph of first and second inequality overlaps

The graph is attached below

You might be interested in
A rectangular box has faces with areas of 12,15, and 20 square units. What is the volume of the box?
miv72 [106K]
First find the side lengths of the box by factoring each area:

12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
20: 1, 2, 4, 5, 10, 20

Find 3 numbers that both have 2 sides have in common and can multiply to make the areas of the faces:

12: 3 * 4
15: 3 * 5
20: 4 * 5

Sides: 3, 4, and 5

Then multiply to get the volume:

3 * 4 * 5 = 60 units^2

6 0
3 years ago
Which answer shows a correct order to solve this story problem?
Salsk061 [2.6K]
C is correct. 
1. You do 12.99 times 3
2. $0.69 times 2
3. Add $2.99 to the two prices above
4. Add the $2.52 tax to the prices
And you should get around $45 and some change
7 0
3 years ago
The graph shows the speed of Sam’s car over time. A graph titled Speed of Car. The horizontal axis shows time (hours) and the ve
Kaylis [27]

Answer: His car is slowing down .

Step-by-step explanation:

If there is a reduction in speed, it means his car is slowing down and may be running out of fuel.

3 0
3 years ago
Read 2 more answers
Can someone help me with these and show the work also?
Snezhnost [94]

QUESTION:

Simplify each expression

ANSWER:

1.) \green{{- 8n}}

2.) \green{{- 2b - 60}}

3.) \green{{- 10x - 14}}

4.) for number 4 study my step-by-step explanation so you can answer that

STEP-BY-STEP EXPLANATION:

1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1

WHY?

Learn why:

Why is it considered that the coefficient is 1?

Remember that any term multiplied by \blue{{1}} remains the same :

\blue{{1}} {× x = x}

Step 1:

The equality can be read in the other way as a well, so any term can be written as a product of \blue{{1}} and itself:

{x = } \blue{{1}} {× x}

Step 2:

Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:

{x = 1x}

This is why we can write the term without the coefficient as a term with coefficient {1}

Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1

{n - 9n}

\red{{1}} {n -9n}

Second, Collect like terms by subtracting their coefficients

\red{{1n - 9n}}

\red{{( 1 - 9)n}}

Third, Calculate the difference

how?

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger

\red{{1 - 9}}

\red{{- (9 - 1)}}

Subtract the numbers

- (\red{{9 - 1}})n

- \red{{8}}n

\green{\boxed{- 8n}}

2.) First, Distribute - 6 through the parentheses

how?

Multiply each term in the parentheses by - 6

\red{{- 6(b + 10)}}

\red{{- 6b - 6 × 10}}

Multiply the numbers

- {6b} - \red{{6 × 10}}

- {6b} - \red{{60}}

Second, Collect like term

how?

Collect like terms by calculating the sum or difference of their coefficient

\red{{- 6b + 4b}}

\red{{(- 6 + 4)b}}

Calculate the sum

\red{{(- 6 + 4)}}b

\red{{-2}}b

\green{\boxed{- 2b - 60}}

3.) First, Distribute 2 through parentheses

how?

Multiply each term in the parentheses by 2

\red{{2(x - 5)}}

\red{{2x - 2 × 5}}

Multiply the numbers

{2x -} \red{{2 × 5}}

{2x -} \red{{10}}

Second, Distribute - 4 through the parentheses

how?

Multiply each term in the parentheses by - 4

\red{{- 4(3x + 1)}}

\red{{- 4 × 3x - 4}}

Calculate the product

- \red{{4 × 3}}x - 4

- \red{{12}}x - 4

Third, Collect like terms

how?

Collect like terms by subtracting their coefficient

\red{{2x - 12x}}

\red{{(2 - 12)x}}

Calculate the difference

\red{{(2 - 12)}}x

\red{{- 10}}x

Fourth, Calculate the difference

how?

Factor out the negative sign from the expression

\red{{- 10 - 4}}

\red{{- (10 + 4)}}

Add the numbers

- (\red{{10 + 4}})

- \red{{14}}

\green{\boxed{- 10x - 14}}

That's all I know sorry but I hope it helps :)

6 0
2 years ago
What is the cube root of 27a^l2?<br>-3a4<br>-3a<br> 3a<br> 3a*​
GuDViN [60]

Answer:

3a^4

Step-by-step explanation:

What is the cube root of  27a^{12}? This is the question.

We can write:

\sqrt[3]{27a^{12}}

We will use the below property to simplify:

\sqrt[n]{a*b}=\sqrt[n]{a}  \sqrt[n]{b}

So, we have:

\sqrt[3]{27a^{12}} =\sqrt[3]{27} \sqrt[3]{a^{12}}

We will now use below property to further simplify:

\sqrt[n]{x} =x^{\frac{1}{n}}

Thus, we have:

\sqrt[3]{27} \sqrt[3]{a^{12}} =3*(a^{12})^{\frac{1}{3}}

We know power to the power rule:  (a^z)^b=a^{zb}

Now, we have:

3*(a^{12})^{\frac{1}{3}}\\=3*a^{\frac{12}{3}}\\=3a^4

This is the correct answer:  3a^4

4 0
3 years ago
Other questions:
  • Which mathematical statment represents 17 more than a number is 26? A. 17&gt;26
    6·1 answer
  • If p= the game systems original price in dollars, which algebraic expression represents the reduced price
    5·1 answer
  • What is f(0)?<br> O only<br> -6 only<br> -2, 1, 1, and 3 only<br> -6, -2, 1, 1, and 3 only
    15·2 answers
  • Hello please help will give brainliest!
    9·1 answer
  • Plz i need help :ppppppp
    8·1 answer
  • What’s the right answers?
    14·1 answer
  • Based on the z-statistic of –2.5 for the sample data, should the null hypothesis be rejected? Yes, because the z-statistic lies
    15·2 answers
  • ILL GIVE BRAINLIEST!
    5·1 answer
  • PLEASE HELP WITH GEOMETRY QUESTION!! FIND H
    14·2 answers
  • Not sure how to do this, could use some help. : )
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!