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

factorise (2x²-5x-3)​

Answers

Answer:

2x² - 5x - 3

= 2x² -6x + 1x -3

= 2x( x - 3) + 1 (x - 3)

= ( x - 3) (2x + 1)

Angela purchased a car using a simple interest loan. The loan had an interest rate of 5% and was for three years. Angela paid $450 in interest. The principal amount of the loan was for $

Answers

Answer:

$3000

Step-by-step explanation:

Given data

Rate=5%

Time=3 years

Simple interest= $450

We know that the expression for simple interest is

SI=PRT/100

Substitute

450=P*5*3/100

cross multiply

P*15= 45000

Divide both sides by 15

P= 45000/15

P=$3000

Hence the principal amount is $3000

Find the area of the parallelogram
Height=4cm
Base=5cm

Answers

Answer:

The area of the parallelogram is 20cm²

Answer:

A = 20 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height ) , then

A = 5 × 4 = 20 cm²

Jasmine has $50 and saves $4.38 every month. Radha has $0 and saves $5.38 every month. Jasmine's savings after x months can be represented by the function f (x) = 4.38 x + 50. Radha's savings after x months can be represented by the function g (x) = 5.38 x. Round your answer to the nearest hundredth.

After how many months will they both have the same amount in savings? Find the values of x for which f (x) = g (x).

After ____ months, Jasmine and Radha will have the same amount in savings.​

Answers

After 50 months, jasmine and Radha will have the same amount in savings

PLEASE HELP!!! I WILL MARK!

Answers

Answer:

D. the average difference in height between each player and the mean height

Jake writes this word expression.

the product of 9 and m

Enter an algebraic expression for the word expression.

The expression is m.

Then, evaluate the expression for m = 6.

Answers

9 * m
9 * 6 = 54
* (multiplication sign)

are all vertical lines parallel?

Answers

Answer: Yes

Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.

Solve: 6x - 13 = 4(x + 10) + 2x

Answers

Answer:

null

Step-by-step explanation:

Answer: 0=53

Step-by-step explanation:

I need help pls and no files ok pls no files

Answers

Answer:

$2,725

Step-by-step explanation:

The maximum number of days is 7.

The cost per days is $375.

The cost for 7 days is 7 * $375 = $2,625.

The owner applies a $100 fee for cleaning which must be added to the cost of the days.

$2,625 + $100 = $2,725

The greatest value for the range is the greatest cost there can be which is $2,725.

A figure has a perimeter of 40 units and an area of 100 units2 . Which of the following describes the new perimeter and area after the figure is dilated by a scale factor of
A)Perimeter: 20 units; Area: 50 units2
B)Perimeter: 20 units; Area: 25 units2
C)Perimeter: 10 units; Area: 25 units2
D)Perimeter: 80 units; Area: 200 units2
PLEASE HELP MEEE < ILL GIVE 25 POINTS

Answers

Answer:

B

Step-by-step explanation:

You didn't write the full question but B is the only one that make since.

what's 13.564^4x3.59^-39?

Answers

Answer:

0

Step-by-step explanation:

hope this helps :)

Pls helpppp and thank you

Answers

If the question is y = blank(x) + blank (I can’t see the left of the equation
Then the answer is y = 2x + -4

Elena prepared 8 kilograms of dough after working 2 hours. How much dough did Elena prepare if she worked for 9 hours? Assume the relationship is directly proportional.

Answers

the answer should be 7

Answer:

36 kilograms

Step-by-step explanation:

Since she made 8 kilograms of dough over the span of 2 hours, you divide 8 by 2 and get 4 then you have to multiply 9 hours by 4 kilograms of dough to get 36 kilograms of dough.

A heptagon has angles x, 105 degrees, 105 degrees, 160 degrees, 124 degrees, 97 degrees, 137 degrees. Find the missing angle measure in the heptagon. The sum of the interior angles of a heptagon is °. The measure of the missing angle is °.

Answers

Heptagon has all angle 900
So
X+105+105+160+124+97+137=900
X=900-728=172

Answer:

900 and 172 for edg 2020-2021

Step-by-step explanation:

Please help im not good at theses

Answers

Answer:

[tex]y=\frac{1}{4} x-3[/tex]

Step-by-step explanation:

y=mx+b -- m = slope, b = y-int

The radius of a circle is 1 inch. What is the area?

r=1 in

Give the exact answer in simplest form.

Answers

Answer:

3.14 square inches or π square inches

Step-by-step explanation:

The radius of a circle is 1 inch. What is the area?

r=1 in

The formula for the area of a circle is given as:

πr²

The radius (r) = 1 inch

Hence,

Area of the circle = π × 1²

= 3.1415926536 square inches

Approximately = 3.14 square inches or we can say that the Area of the circle = π square inches

Daniel is baking cookies but does not have all of the he needs. The ratio of flour:sugar in his recipe is 3:2cups. If he only has 1.5cups of sugar, how much flour should he use to keep the ratio the same?

Answers

Answer:

Step-by-step explanation:

3:2 = 2.5:1.5

half of 2 is 1 so if you had 1.5 it would only be half. For a better explanation, 1 minute is 60 seconds half of a minute is 30 seconds. if you have 45 seconds it would be 3/4 of a second. this is hard for me to explain so if you need more examples just tell me in the comments.

i hope this helps

have a nice day/night

mark brainliest please:)

(450) + (28.75x) = 967.50
solve for x

Answers

Answer:

x=18

Step-by-step explanation:

Answer:

x= 18

Step-by-step explanation:

To solve this equation you have to work backwards

Start by dealing with the numbers that we know:

450 + (28.75 × x) = 967.5

-450                          -450

28.75x = 967.5

(when a number and a letter in mathematics are next to each other they are multiplying)

Now divide to find the value of x:

967.5 ÷ 28.75 = 18

18 is the value of x

PLEASE ASAP Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 28 and 31? Round your
answer to the nearest tenth of a percent.
A. 21.3%
B. 19.3%
C. 20.3%
D. 22.3%

Answers

Answer:

20.3%

Step-by-step explanation:

Hope that helps :)

PLEASE ACCTUALY HELP :<

Point A has the coordinates (-2,-4). Point A is reflected across the x-axis to create point 'A'. What are the coordinates of point "A"? Enter your answer in the space below.​

Answers

Answer:

(-2, 4)

Step-by-step explanation:

Hopes this helps!

UNIT 6: CEREAL BOX PROJECT / PORTFOLIO

A company has released the following possible designs for a new cereal box. The cost of production depends upon the cost of materials, which is determined by how much material is used. The amount of material used is equal to the surface area of the package plus some overlap. The amount of product contained in the package is the volume of the packaging.

Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the cereal box assuming that cardboard costs $0.05 per square inch.

Answers

Answer:

DO you go to a connexus school? I do and i have this same project im trying to find answers to!

Step-by-step explanation:

For the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

For the first cereal box:

Volume = L×W×H

Here L = 7.5 in, W = 2 in, and H = 12 in

Volume = 7.5×2×12 = 180 cubic inches

Surface area = 2(L×B+B×H+H×L)

= 2(7.5×2+2×12+12×7.5)

= 2(15+24+90)

= 258 square inches

Cost for this cereal box = 258×0.05 = $12.9

For the second cereal box:

[tex]\rm Volume = \frac{1}{3} bh[/tex]

b is the area and h, is the height of the pyramid.

b = 8×6 = 48 square inches, h = 12 inches

[tex]\rm Volume = \frac{1}{3} \times48\times12[/tex]

Volume = 192 cubic inches

[tex]\rm Surface \ area = b+\frac{1}{2} ps[/tex]

p is the perimeter of the base = 2(8+6) = 28 in

Slant height s = 12.6 in

[tex]\rm Surface \ area = 48+\frac{1}{2} (28)(12.6)[/tex] = 224.4 square inches

Cost of this cereal box = 224.2×0.05 = $11.22

For the third box:

Volume = πr²h

r = 2.5 in and h = 12 in

Volume = π(2.5)²(12) = 235.61 cubic inches

Surface area = 2πr(h+r) = 2π(2.5)(12+2.5) = 227.76 square inches

Cost of this cereal box = 227.76×0.05 = $11.38

Thus, for the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.

Learn more about the volume here:

https://brainly.com/question/16788902

#SPJ2

Tyler and his friends wanted to watch a movie on opening night. They bought tickets online for $9 each. They paid an additional $5 handling fee for the order. The costs was more than $150. How many tickets could they have purchased?

Answers

Answer:

caca

Step-by-step explanation:

Osing Trig to Find a Side Apr 06, 5:40:44 PM In AOPQ, the measure of ZQ=90°, the measure of Z0=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot. P (hypotenuse) X (opp. of 20) 2009 Q 4.9​

Answers

Answer:5.4

Step-by-step explanation:

How many slices of pizza can I eat for it to be one serving is one serving is 1/4 of the pizza and the pizza itself equal 4 servings

Answers

You can get 16 slices.

How many 1/4 cup serving are in a 6 cup container

Answers

Answer:

24

Step-by-step explanation:

6 ÷ 1/4 = 6 × 4 = 24

Answer:

24

Step-by-step explanation:

please help with this?!?

Answers

Answer:

196.1

Step-by-step explanation:

Area of a circle is [tex]\pi r^{2}[/tex] so in order to find the radius you divide the diameter by 2 to get 7.9

Then you do [tex]7.9^{2}[/tex] x [tex]\pi[/tex] to get around 196.1

Which figure can be formed from the net?

Answers

Answer:

#1 is the answere

Step-by-step explanation:

Check the sides

A trainee in a computer company takes 0.9 times as long to assemble each computer as
he took to assemble the preceding computer. If it took him 30 minutes to assemble the
first computer, find the total time he takes to assemble the first five computers (round to
the nearest minute)
221,430 minutes
123 minutes
122 minutes
103 minutes

Answers

The total time he takes to assemble is 123 minutes.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

for second, 30*0.9=27

for third, 27*0.9 = 24.3

Similarly for the fifth computer,

=21.87*0.9

=19.68 minutes

Total time taken,

=30+ 27 +24.3+21.87+19.68

=122.553

=123 minutes.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

BRAINLY TO WHOEVER HELPS AND GET IT RIGHT

~no links pls~

Answers

Answer:

4 yards saved

Step-by-step explanation:

two adjacent sides: 6 + 8 = 14

diagonal: √(6² + 8²) = √100 = 10

14 - 10 = 4

Evaluate : ab−5c+b
for a = 12, b = 3 and c = - 4

Answers

Answer:

59

Step-by-step explanation:

[tex](12*3)-5*(-4)+3=59[/tex]

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