PLEASE ASAP ILL GIVE BRAINLIEST.

The ordered pairs that are in the solution set of the system of linear inequalities are (2 ,2), (3 , 1) and (4 , 2).

A finite collection of equations for which we searched for the common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system.

Given the system of linear inequalities:

y > -3x + 2

y< 2x + 3

Substitute the value of x and y for each given ordered pair.

For (2, 2) x=2 and y =2:

y > -3x + 2

2 > -3(2) +2

2> -4 True.

y< 2x + 3

2 < 2(2) +3

2< 7 True

For (3, 1) x=3 and y=1:

1 > -3(3) + 2

1 > -7 True

y< 2x + 3

1 < 2(3) + 3

1< 9 True

For (4 , 2) x=4 and y =2

y > -3x + 2

2 > -3(4) +2

2 > -10 True.

y< 2x + 3

2 < 2(4) + 3

2 < 11 True.

Hence the ordered pairs (2 ,2), (3 , 1) and (4 , 2) are in the solution set of the system of linear inequalities.  

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Answer:

I'm pretty sure that is the correct answer

Step-by-step explanation:

Answer:

multiply top and bottom of 2/6 to get 6/18, then subtract the answer by 6/18 , you get 5/18

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/6 + x = 11/18

x = 11/18 - 2/6

x = 5/18

----------------------------

2/6 + 5/18 = 11/18

11/18 = 11/18

At the rate of 126cm/s is the area of the square increasing when the area of the square is 81cm2.

If each side of a square is increasing at a rate of 7 cm/s.

The area of the square increasing rate,

Area, A = s2

each side of the square is increasing at the rate of 7cm / s (= dx / dt).

s is the side length

=> dA/dt = 2s. ds/ dt

ds/dt = 7cm/s

Area of the square = 81 cm2

81 cm2 = s2

s = 9 cm

so, dA /dt = 2. 9. 7

               = 126 cm2/s

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Step-by-step explanation:

The formula of sin 2A in terms of cotA is

[tex] \frac{2cot \: a}{1 + {cot}^{2} a} [/tex]

Hope it will help :)❤

Answer:

the formula of sin2A in terms of cotA is

2cotA/1+ cot²A

hope it is helpful to you

Answer:$9690

Step-by-step explanation:

P=$8500

T=12 years

R=9.5%

P*T*R/100

8500*12*9.5/100=$9690

The perimeter of each semicircular shape disc created by Amrita by dividing a circular disc of radius 7 cm into two equal parts is 44 cm. This is calculated by multiplying the circumference of the circle (2πr = 2 × 22/7 × 7 = 44 cm) by half.

Amrita divided a circular disc of radius 7 cm into two equal parts. This created two semicircular shape discs

Step 1: Calculate the circumference of the original circle.

Circumference of a circle = 2πr

Circumference of the circle with a radius of

7 cm = 2πr = 2 × 22/7 × 7 = 44 cm

Step 2: Calculate the perimeter of each semicircular shape disc.

The semicircular shape discs are created by dividing the original disc into two equal parts. Therefore, the perimeter of each semicircular shape disc is half of the circumference of the original circle.

Perimeter of each semicircular shape disc

= 44 cm/2

= 22 cm

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Step-by-step explanation:

s=squared

Cs=As+Bs

Cs=4s+3s

Cs=16+9

cs=25

C is the square root Cs

25= 5

AB=5

The estimated perimeter of an ellipse if the major axis has a length of 15 ft and the minor axis has a length of 7.5 ft id found to be 37.3 feet .

Perimeter is calculated as

= 2*pi*r*r

=  2 *3.14 * sqrt (15/2² +7.5/2²)/2

= 6.28 x sqrt (56.25+14.0625/2 6.28) *sqrt (35.15625) 6.28 * 5.929270613

= 37.235 feat

An ellipse is the locus of all the points on a plane whose distances from two fixed points in the plane are always same. The fixed points, which are encompassed by the curve, are known as foci , singular of focus.

The constant ratio is the eccentricity of the ellipse and the fixed line is directrix. Eccentricity is an element of  ellipse which denotes elongation and is symbolized by the letter 'e'.

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Answer:

Height of cylinder = 12 cm

Step-by-step explanation:

Given:

Radius of cylinder = 6 cm

Curved surface area of cylinder = [2/3][Total surface area of cylinder]

Find:

Height of cylinder

Computation:

Curved surface area of cylinder = [2/3][Total surface area of cylinder]

2πrh = [2/3][2πr(h + r)]

h = 2h/3 +[2/3][6]

h - 2h/3 = 4

[3h - 2h] / 3 = 4

h = 12

Height of cylinder = 12 cm

The 45, 45, and 90 triangle is a type of isosceles triangle where the two legs are the same as each other and other non-right angles are both 45 degrees. Most of the time, Pythagoras' theorem is used for finding out the missing legs and hypotenuses of 45, 45, and 90 triangles.

The hypotenuse of a 45 45 90 triangle is calculated as the square root of the length of the leg.

We plug the known length of the leg into our 45-45-90 theorem formula:

          Hypotenuse = leg * (√2)

Properties of 45-45-90 triangles :

To point out the 45-45-90 special right triangle, check for these three identifying properties:

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The sample space between A to C is A,B,C

The likelihood that a sample point will occur is quantified by its probability.

The likelihood of a sample point

According to tradition, statisticians have adopted the following guidelines.

Any sample point's probability can be between 0 and 1.

The probability of every sample point in a sample space added together is 1.

Let's say we run a straightforward statistical experiment. One coin is flipped. Heads or tails are the possible results of the coin flip. These results taken as a whole serve as our experiment's sample space. Each result stands in for a single sample point in the sample space. What is each sample point's probability?

Solution: the total of all sample points' probability

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The sum of the three sides of the triangle is 24.

The sum of three sides of a triangle is calculated using the formula S = a + b + c, where a, b, and c are the lengths of each side of the triangle.

To calculate the sum of three sides of a triangle, first measure the lengths of each side and assign a value for each side. For example, if the lengths of the sides are 6, 8, and 10 respectively, then the values for each side would be a = 6, b = 8, and c = 10.

Next, plug in the values of the sides into the formula S = a + b + c to calculate the sum:

S = 6 + 8 + 10

S = 24

Therefore, the sum of the three sides of the triangle is 24.

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Answer:

5.5

Step-by-step explanation:

7*8=56

42-8=34

56-34=22

22/4=5.5

For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.

If Donny makes $9.75 per lawn, we can make a table that looks like this:

1 Lawn = $9.95

2 Lawns = $19.90

3 Lawns = $29.85...

And so on.

You can see this is proportional because it has a constant ratio between both elements.

(1 to 9.95)

So, it is proportional.

The equation that represents the situation is

2p + 194.99 = 284.97

Option B is the correct answer.

The price of each game is $44.99.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Game system price = $194.99

Total price = $284.97

194.99 + 2 games = $284.97

Games = p

Now,

The price of each game.

194.99 + 2p = 284.97
2p = 284.97 - 194.99

2p = 89.98

p = 44.99

Thus,

The equation is 194.99 + 2p = 284.97.
The price of each game is $44.99.

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The  set of equations correctly representing x are as follows:

(x + 1/2) and (x = 7/2).

A set or group of equations that you solve all at once is referred to as a "system" of equations. The simplest linear system is one that has two equations as well as two variables. Linear equations (those that graph as straight lines) are easier to understand than non-linear ones.

Systems of equations in mathematics are a collection of relationships between different unknown variables that can be stated in terms of algebraic expressions. They are also known as simultaneous equations. Graphing, substitution, as well as elimination by addition, are methods that can be used to find the solutions to a basic system of equations.

Sum means addition (+).

Given that sum of a number, x and 1/2 is 4.

This means the adding  two numbers

x+1/2=4

Now make x the subject of formula,

x=4-1/2

Finding the L.C.M  = 8-1/2

                        x=7/2

                     ∴ x=3 1/2

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Answer:

:;;;,,,

Step-by-step explanation:

^^^^^^^^^!!~~~

By simple algebra, The number of counters in each box is 2.

Algebra is the study of mathematical symbols and the methods for incorporating them into formulas.

Since algebra is the first math subject most students take where they must deal with variables, complex concepts, and problem-solving abilities, many find it scary.

Given,

counter in Box A = 6y+2

counter in Box b=4y+6

Since there are the same amount of counters in both boxes.

hence

6y+2=4y+6

6y-4y=6-2

2y=4

y=2

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Answer:

Step-by-step explanation:

630/3=210 for each

Answer:

$120

Step-by-step explanation:

Basically, this question is asking how much each friend gets if they split it equally.

------

So:

630 (The profit) ÷ 3 (The friends) = 120

------

Have a good day :)

Answer:

I got chuuuu

————————-

Answer:

Factor x out of 2x3+4x2−x

x(2x^2+4x−1)

Step-by-step explanation:

math_way

B. Similar spreads different centers.

Answer:

First, you need to calculate your grade in percentages. The total answers count 70 - it's 100%, so we to get a 1% value, divide 70 by 100 to get 0.70. Next, calculate the percentage of 15: divide 15 by 1% value (0.70), and you get 21.43% - it's your percentage grade.

Step-by-step explanation:

Answer:

$7045

Step-by-step explanation:

Given data

Principal=  $5,000.00

Rate= 7.1%

Time= 5 years

The expression for the compound interest is

A=P(1+r)^t

Substitute

A=  5000(1+0.071)^5

A= 5000(1.071)^5

A= 5000*1.409

A= $7045

Hence the amount in the account after 5 years is $7045

With 10 faces and 16 vertices, an octagonal prism is depicted.Two octagonal bases and eight rectangular sides define an octagonal prism, which has two of each shape.

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The trigonometric functions are sin D = 28/53, sin E = 45/53, cos D =45/53, and cos E = 28/53 as fractions.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

The trigonometric functions are given in the question

Apply the sine ratio on the given right triangle

⇒ sin(θ) = Perpendicular/hypotenuse

sin D = EF/DE

sin D = 28/53

sin E = DF/DE ,

sin E = 45/53

Apply the cosine ratio on the given right triangle

⇒ cos(θ) = Base/hypotenuse

cos D = DF/DE

cos D =45/53

cos E = EF/DE

cos E = 28/53

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Answer:

w = 7 cm

Step-by-step explanation:

Volume = 252 cm³

Height, h = 3cm

Let width = w

Length, l = w + 5

Volume of rectangular prism, V = l * w * h

252 = (w + 5) * w * 3

252 = (w + 5) * 3w

252 = 3w² + 15w

3w² + 15w - 252 = 0

w² + 5w - 84 = 0

w² + 12w - 7w - 84 = 0

w(w + 12) - 7(w + 12) = 0

(w + 12) = 0 or (w - 7) = 0

w = - 12 or w = 7

w cannot be negative

Hence, w = 7 cm

Answer:

34

Step-by-step explanation:

100-15=85 (15 was the percentage of incorrect so you want the percentage of correct answers)

40*.85=34

oop its just 15% of 40...

15/100 x 40 =6

but these are the ones he got incorrect! he got 40-6 = 34 correct

yw!