How to solve systems of inequalities

Answers

Answer 1

Answer:

Determine whether an ordered pair is a solution of a system of linear inequalities.

Solve a system of linear inequalities by graphing

Solve applications of systems of inequalities

You can use desmos

Step-by-step explanation:

Graph x>2 on a number line.

Solve the inequality 2a<5a+12.

Determine whether the ordered pair \left(3,\frac{1}{2}\right) is a solution to the system \left\{\begin{array}{c}x+2y=4\hfill \\ y=6x\hfill \end{array}.

Determine Whether an Ordered Pair is a Solution of a System of Linear Inequalities

The definition of a system of linear inequalities is very similar to the definition of a system of linear equations.

System of Linear Inequalities

Two or more linear inequalities grouped together form a system of linear inequalities.

A system of linear inequalities looks like a system of linear equations, but it has inequalities instead of equations. A system of two linear inequalities is shown below.

\left\{\begin{array}{c}x+4y\ge 10\hfill \\ 3x-2y<12\hfill \end{array}

To solve a system of linear inequalities, we will find values of the variables that are solutions to both inequalities. We solve the system by using the graphs of each inequality and show the solution as a graph. We will find the region on the plane that contains all ordered pairs \left(x,y\right) that make both inequalities true.

Solutions of a System of Linear Inequalities

Solutions of a system of linear inequalities are the values of the variables that make all the inequalities true.

The solution of a system of linear inequalities is shown as a shaded region in the x-y coordinate system that includes all the points whose ordered pairs make the inequalities true.

To determine if an ordered pair is a solution to a system of two inequalities, we substitute the values of the variables into each inequality. If the ordered pair makes both inequalities true, it is a solution to the system. s


Related Questions

A formula for finding SA, the surface area of a rectangular prism, is
SA = 2(ab + ac + bc), where a, b, and c represent the lengths of the edges of the prism. What is the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches?



A.
B.
C.
D.

Answers

Step-by-step explanation:

SA=2*(12*6+12*4+6*4)

SA=2*(72+48+24)

SA=2*144

SA=288

the names of 11 boys and 6 girls from your class are put into a hat. what is the probability that the first two names chosen will be a boy followed by a girl( dependent probability

Answers

Answer:

25%

is that what you were looking for?

Can someone help me with this please

Answers

Answer:

I- i dont even know

Step-by-step explanation:

The circumference of a redwood tree trunk is 20π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree trunk?

1,000π ft3
10,000π ft3
4,000π ft3
40,000π ft3

Answers

9514 1404 393

Answer:

  (b)  10,000π ft³

Step-by-step explanation:

The relation between circumference and radius is ...

  C = 2πr

  r = C/(2π) = (20π)/(2π) = 10 . . . . feet

The volume of a cylinder with radius 10 ft and height 100 ft is ...

  V = πr²h

  V = π(10 ft)²(100 ft)

  V = 10,000π ft³

Answer:

10,000π ft3

Step-by-step explanation:

I took the test

Which function produces an output of 5 for an input of -6?
A.f(x) = x + 1
B.f(x) = 2x + 4
C.f(x) = x - (-1)
D.f(x) = -x - 1

Answers

Answer:

The answer is D

Step-by-step explanation:

Since the input is -6, you input it into the equation. That would make it f(-6)=-(-6)-1 which would be equivalent to f(-6)=6-1 , as the negatives at the beginning of the equation cancel each other out and make it positive. Then you solve and get 5, which is your output. Hope I could help :)

The formula for the volume of a rectangular prism is V=l×w×h. Multiply the length times the width times the height to write a simplified expression in standard form to represent the volume of the box.

Answers

Answer:

Volume of box= Box Area * Box height

Step-by-step explanation:

If the box has equal sides then the l=w=h length is equal to height and both are equal to width so this can also be written as l=l=l or

Volume= length * width * height

V= l*w*h

V= l*l*l

V= l³

or  if the three sides are not equal this can also be written as

Volume of box= Box length * Box width * Box height

If we observe closely we find that length * breadth gives the area so the volume of the box can also be written as

Volume of box= Box length * Box width * Box height

Volume of box= Box Area * Box height

A triangle with an area of 36 square meters has a base that is 10 meters long. What is the height of the triangle

Answers

The height of the triangle would be

7.2 bc

10x7.2:72

So to find the area of a triangle u have to divide by 2, so

72 divided by 2 is 36, so 7.2 is the height

i’m really confused 2 2/ 3 + 4 4/ 5

Answers

Answer:

7 7/15

Step-by-step explanation:

The answer is 7 7/15

The area of the surface of a pool table is 24 square feet. The pool table is 6 feet long. How wide is it?

No procedure

Answers

Answer: The pool table is rectangle, so we assume it with Length a feet and b feet, respectively.

 

So area=a*b=24 square feet

perimeter=2(a+b)= 22 feet

 

then we calculate with this two equation to get a and b.

 

because  a+b=11, then a=11-b, we put this into a * b=24

 

then we get (11-b)*b=24,  

b^2-11b+24=0

b=3 feet or b=8 feet

then we can get a by a=11-b, if b=3, then a=8; if b=8, then a=3.

 

so the dimension of the pool table is 3 feet and 8 feet

HOPE THIS HELPS

Noah has 5 cards and Sofia has 3 times that but Jack has 5 times that what is the amount that jack has

Answers

Answer:

75

Step-by-step explanation:

ILL WIN BRAINLIEST YOU IF YOU GET IT RIGHT

please help me with this questions

Answers

Answer:

x=54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

it is an alternate interior angle so those 2 angles are actually congruent and corresponding

x + 3 = 57

Subtract 3 to get x = 54

A right triangle has legs that measure 7 centimeters and 6 centimeters. What is the length of the hypotenuse in centimeters

Answers

Anwser Is 9.22. because A squared Plus B squared is equal to C squared.

Parveen buys 3 small bags of peanuts she gives the shopkeeper £2 and gets 80p change what is the cost of one pag of peanuts?

Answers

Answer:

$0.4

Step-by-step explanation:

Let cost per bag = x

Number of bags purchased = 3

Amount given to shopkeeper = $2

Change gotten = $0.80

(Cost per bag * number of bags purchased) + change obtained = amount given to shopkeeper

(x * 3) + 0.80 = 2

3x + 0.80 = 2

3x = 2 - 0.80

3x = 1.20

x = 1.20 / 3

x = 0.4

$0.4

Need answer please ty

Answers

Answer:

More detail needed

Step-by-step explanation:

The question is not clear, therefor there is no way to solve it.

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

B. 254.3

Step-by-step explanation:

The formula for the area of a circle is:

[tex]A = \pi\cdot r^2[/tex]

and r is half the diameter.

[tex]r = 18in / 2 = 9in\\~\\A = \pi \cdot (9in)^2 \approx 3.14 \cdot 81in^2 = 254.34in^2[/tex]

Answer:

D. 254.3

Step-by-step explanation:

Use the formula pi times the radius squared to get the area.

The radius is nine because the diameter of the diagram is 18. (The radius is always half the diameter).

π[tex]r^2[/tex]

π[tex]9^{2}[/tex]

π81 ≈ 254.3 inches squared

Find the midpoint between -4 and 36

Answers

Answer:

16

Step-by-step explanation:

Describe the error in the work shown.

Answers

In the third step, to get rid of the cubed root you have to have a cubed exponent as it shows with (y^3)^4. However, it takes the 4 out instead of the 3. You're supposed to take the 3 out, and the answer is supposed to be xy^4/4

mariah and isaiah each deposited $7000 into accounts that earn 6% interest the graph shows the amount of interest each account earns in the 1st three years whose account earns annual simple interest and whose account earns annual compound interest explain your choice
Please help me

Answers

Answer:

its Isaiah he's the most financially stable

Answer:

Compound is Isaiah and Simple is Maria.

Step-by-step explanation:

Please help me I’ll mark brainliest!!!!

Answers

Answer:

Step-by-step explanation:

Please select the best answer from the choices provided.

Answers

Answer: 34

Step-by-step explanation:

SOH-CAH-TOA

To find the angle, find the inverse cosine of the adjacent side over the hypotenuse. ArcCos(72/87)=34

You put $200 in a savings account. The account earns 2% simple interest
per year. What is the interest earned after 5 years? (*hint: just the
interest, NOT the total)
Use the formula I = p.r.t

Answers

Answer:

interest total after 5 years is $20.82

Step-by-step explanation:

What is the difference between 2386 and 7000 check your answer using inverse operations

Answers

Answer:

4,614

Step-by-step explanation:

7000 - 2396 = 4614

inverse operations

2396 + 4614 = 7000

The answer is 4,614 because 7000-2386=4,614 and if you do inverse operation it is 4614+2386=7000

Bonjour, je suis bloqué à cet exercice, à vrai je n'ai rien compris de la consigne...
On considère les nombres A=√63×11√7×2√175 et B=√63−11√7+2√175.
1) Écrire A et B sous la forme a√7 avec a un entier.
2) Simplifier A/B.
Merci d'avance

Answers

Je dois admettre que je ne suis pas français et que j'utilise un traducteur pour répondre à cette question.Je suis désolé mais je vais devoir répondre à la lettre b uniquement parce que je ne sais pas comment résoudre la lettre a: A = 3√7 x 11√70√3 b = √63 - 11 √7 + 10 √7 si c'est faux, je suis désolé j'ai juste fait de mon mieux :)

If you roll a single six-sided die, what is the probability of rolling an odd number?

Answers

is usually three-sixths or three out of six

I am not sure but the probability could be 50% because there are 3 odd numbers on a die out of 6 and so half would be 50/100. Or 3/6.

Please help me I’m tired of these “click the link people”

Answers

Answer:the width is 2.56

Step-by-step explanation:

A circle has a circumference of 41 centimeters . What is the circle's radius ? Use 3.14 for pi and round your answer to the nearest tenth

Answers

the circles radius is 6.5 centimeters.

Answer:

"I hope your pillow is hot on both sides"

Step-by-step explanation:

:)

Please help with this

Answers

Step-by-step explanation:

I need the graph. I'll answer if you send me the graph that is uses

How did Eskimos hunt whales?


I really need help!! ​

Answers

Answer: The Eskimos killed their whale with an exploding harpoon.

Step-by-step explanation:

a crew of Inupiat Eskimos cruising the Arctic Ocean in a small powerboat spotted the whale's spout, speeded to the animal's side and killed the whale with an exploding harpoon.

11) Original price of a lizard: $39.99 Discount: 40% Tax: 6%​

Answers

Answer:

16.9

Step-by-step explanation:

.......ur welcome..........

40% of 39.99=15.95

6% of 15.95= 0.95

15.95 × 0.95=16.9

7a +42 +8< -10 + 9a -64a

Answers

Answer:

a < -30/31

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

7a + 42 + 8 < -10 + 9a - 64a

Step 2: Solve for a

Combine like terms (a):                                                                                    7a + 42 + 8 < -10 - 55aCombine like terms:                                                                                         7a + 50 < -10 - 55a[Addition Property of Equality] Add 55a on both sides:                                62a + 50 < -10[Subtraction Property of Equality] Subtract 50 on both sides:                      62a < -60[Division Property of Equality] Divide 62 on both sides:                               a < -30/31

Here we see any number a less than -30/31 would work as a solution to the inequality.

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