Which graph shows the solution to the system of linear inequalities below? y>2x+1 y<2x-3

Which Graph Shows The Solution To The System Of Linear Inequalities Below? Y&gt;2x+1 Y&lt;2x-3

Answers

Answer 1

Option D: Graph C is the solution to the system of linear inequalities.

Explanation:

The system of linear inequalities are [tex]y \geq 2 x+1[/tex] and [tex]y<-2 x-3[/tex]

Let us graph the inequality [tex]y \geq 2 x+1[/tex]

Let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y \geq 2 x+1[/tex], we get,

[tex]0 \geq 2 (0)+1[/tex]

[tex]0 \geq1[/tex]

This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]

Thus, let us shade the upper part of the line in the graph.

Similarly, let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y<-2 x-3[/tex], we get,

[tex]0<-2 (0)-3[/tex]

[tex]0<-3[/tex]

This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]

Thus, let us shade the lower part of the line in the graph.

The solution to the system of linear inequality is the intersection of the two regions.

Thus, the solution of the inequality is Graph C.

Hence, Option D is the correct answer.


Related Questions

Someone help Solve 1/3/5 = a/20

Answers

Okay so I’m not entirely understanding this question. So I guess I’ll give all possible answers.

If your question is 1/3 divided by 5

1/3 divided by 5/1 reciprocal and change the sign

1/3 • 1/5

1/15=a/20

Cross multiply. 15a=20
a=20/15
a=4/3

If your question is 1 divided by 3/5
1/1•5/3
5/3=a/20
100=3a
a=33.333333333 or 100/3

If your question is 1 divided by 3 divided by 5

1/1•1/3•1/5
1/15=a/20
20/15
a=4/3

Sorry if this was all confusing. Hopefully I helped even a little bit

How to write an expression to represent a number g divided by 5

Answers

Answer:

g ÷ 5

Step-by-step explanation:

Variable: g

Operation: Division (represented as ÷)

Constant: 5

Put together the equation:

g ÷ 5

Hope this helps :)



Find x please:

6x degrees + 5 degrees = 149 degrees

(6x+5)=149

Answers

Answer:

x = 24

Step-by-step explanation:

(6x + 5) = 149

6x + 5 = 149

6x = 149 - 5

6x = 144

x = 144 / 6

x = 24

Answer:

x=24

Step-by-step explanation:

This is a linear equation.

(6x+5)=149

Collect like terms by placing the +5 after the equality sign, which will make it become -5

6x=149-5

6x=144

Divide both sides by 6

6x/6=144/6

x=144/6

x=24

We can go further to check, if we are correct by substituting x with 24 in the equation. And then both sides of the equation must be the same

(6x+5)=149

6(24)+5=149

144+5=149

149=149

What is the area of the figure?

Enter your answer in the box.

Answers

The area of the figure is 112 square inches.

Step-by-step explanation:

Step 1:

To calculate the value of the composite shape we first divide it into shapes that we know.

In this case, the composite shape consists of a triangle and a square attached below it.

If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.

Step 2:

The triangle has a base length [tex]=10-6=4[/tex] inches and the height is [tex]16-10=6[/tex] inches.

The area of the triangle [tex]= \frac{1}{2} (b)(h) = \frac{1}{2} (4)(6) = 12.[/tex]

The area of the triangle is 12 square inches.

Step 3:

The area of a square is the square of its side length. The given square has a side length of 10 inches.

The area of the square [tex]= a^{2} = 10^{2} = 100.[/tex]

The area of the square is 100 square inches.

Step 4:

Now we calculate the area of the entire figure by adding the areas of the triangle and the square.

Area of the figure [tex]= 100 + 12 = 112.[/tex]

So the area of the figure is 112 square inches.

The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet?

Answers

Answer:

Rotations of tire to travel 500 feet: 95.54

Step-by-step explanation:

Circumference = 20 x 3.14 = 62.8 in

500 feet = 500 x 12 inches = 6,000 in

Rotations = 6000 / 62.8 = 95.54 rotations of tire

40 é 200% de que quantia?

Answers

Answer:

Quant. ---- Porcentagem

200 ------------- 100

X ------------------ 40

100X = 8.000

Step-by-step explanation:

4. Why does Miss Maudie only have two small cakes instead of three
small cakes for the children? *
O
A. She only likes two of the children.
O
B. She only purchased two cakes.
C. She cuts a slice from the big cake for Jem.

Answers

Answer:

B

Step-by-step explanation:

She only has two cakes because that's all she bought.

Final answer:

The provided text does not contain information about Miss Maudie or the distribution of cakes, leading to the inability to answer why only two small cakes were provided instead of three.

Explanation:

The question refers to a situation within a piece of literature where Miss Maudie provides only two small cakes to the children instead of three. According to the provided context, there is no explicit mention of Miss Maudie or the exact circumstance of the cake distribution in the passages. Moreover, the excerpts provided do not contain information about a character named Miss Maudie.

They discuss Miss Sydney and her interactions with street beggars and a candy vendor, as well as the narrator's mother's childhood experiences with poverty. Since the textual evidence does not support any conclusions about Miss Maudie and her cakes, I cannot confidently provide an answer to the question about why Miss Maudie only has two small cakes instead of three for the children.

None of this makes sense

Answers

The volume of the cone is:

V=Sb×h/3=(pi×r²)×h/3, where Sb is the area of the base (circle of radius r) and h is the height.

V=pi×r²×h/3=pi×1.5²×5/3=11.775in³

The closest indicated value is the first one, 11.78in³

HELP ASAP
What is the exact volume of the cylinder!​

Answers

Answer:

54[tex]\pi[/tex] inch^3

Step-by-step explanation:

you have to multiply 6*9 because the actual volume isnt on there. you would have to multiply 54 by 3.14 to get the actual volume, that is just the equation simplified. V=[tex]\pi[/tex]*r^2 *h

If the part shown is ¾ of a flag, what could the whole flag look like? Draw a picture and write a fraction to represent the whole.

Answers

Answer:

Although I cannot draw a picture, a fraction to represent the whole is 4/4, 1/1, or 1.

Step-by-step explanation:

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

a.19
b.90
c.100
d.10! (10 factorial)

Answers

Answer:

B.90

Step-by-step explanation:

As there are 10 people and choosing chairperson occurs first as an independent event

=> The number of possible chairperson is 10.

After the chairperson is chosen, the number of names left in the hat is 9

=> There are 9 possible vice-chair.

However, the names left in the hat depends on which name is elected as chairperson

=> Choosing vice-chair is a an event dependent on the first event.

=> The number of possible combinations of chair and vice chair would be:

9x10 = 90

what is the answer to 8/3 divided by 10/3?

Answers

Answer:

24/30

Step-by-step explanation:8/3 times 3/10. Multiply across. Always flip the 2nd fraction when dividing fractions then multiply

Answer:

4/5

Step-by-step explanation:

8/3 divided by 10/3

Remember, Keep Change Flip.

8/3 x 3/10

= 24/30

= 4/5

| 4(0.25) + 3(0.10) + 670.05) + 70.01) =?

Answers

Answer:

I Think it is

741.36

Step-by-step explanation:

just add em up stat focused

I believe the answer is 741.36.

Can someone help me with the following question in the image

Answers

Explanation:

In order to solve this problem, we'll use the concept of Mid-segment of a Trapezoid which is defined as the segment that connects he midpoints of the two non-parallel sides of the trapezoid. So, it is true that:

[tex]EF=\frac{AD+BC}{2} \\ \\ 5x=\frac{x+2+43}{2} \\ \\ Isolating \ x: \\ \\ 10x=x+45 \\ \\ 9x=45 \\ \\ x=5 \\ \\ \\ So: \\ \\ EF=5x \\ \\ EF=5(5) \\ \\ \boxed{EF=25}[/tex]

Solve this problem : (X-3)^2

Answers

Answer:

x^2 - 6x + 9

Step-by-step explanation:

(x - 3)^2

(x - 3)(x - 3)

x^2 - 3x - 3x + 9

x^2 - 6x + 9

Answer:x^2-6x+9

Step-by-step explanation:

(x-3)^2=(x-3)(x-3)=x^2-3x-3x+9

Collect like terms

X^2-6x+9

A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?

Answers

Answer:

  [tex]\text{A)}\qquad (x-2)^2+(y+1)^2=16[/tex]

Step-by-step explanation:

The formula for a circle of radius r centered at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...

  (x -2)^2 +(y -(-1))^2 = 4^2

  (x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A

What is the measure of

Answers

Answer:

Angle QPU = 110

Step-by-step explanation:

Since angle QPU & RPQ are supplementary angles, they add up to 180 degrees. So take 180 - 70 which gives you 110.

Answer:

Step-by-step explanation:

Note, line UPR is a straight line

Also, angle on a straight line is 180

Therefore,

<QPU and <QPR are supplementary

<QPU+<QPR=180

Given that <QPR=70°

<QPU+70=180

Subtract 70° from both sides of the equation

<QPU=180 -70

<QPU=110

Help, please! Image + question. below!

Answers

Answer: The answer is 4) 4x*3 +4x^2   where x = 6,13

4x^3 = 6.13 x 6.13 x 6.13 =230 +4x^2 =

=232.7+ 49.04   = 282.1 cube

The answer is 281.1 when x=6.13

Step-by-step explanation:

Answer:

A, B & C

Step-by-step explanation:

Edge 2020 assignment

what is the equation of the line that passes through (5;-2) and (-3;4

Answers

Step-by-step explanation:

Given points are: [tex] (5, - 2) =(x_1,\:y_1) \:\&\: (-3, 4)=(x_2,\:y_2)[/tex]

Equation of line in two point form is given as:

[tex] \frac{y -y_1 }{y_1 - y_2} = \frac{x -x_1 }{x_1 - x_2} \\ \\ \therefore \: \frac{y -( -2 ) }{ - 2 - 4} = \frac{x -5 }{5 - ( - 3)} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{5 + 3} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{8} \\ \\\therefore \: \frac{y + 2 }{ - 3} = \frac{x -5 }{4} \\ \\\therefore \: 4(y + 2 ) = - 3(x - 5) \\ \\ \therefore \: 4y + 8 = - 3x + 15 \\ \\ \therefore \: 3x + 4y + 8 - 15 = 0 \\ \\ \huge \: \orange{ \boxed{\therefore \: 3x + 4y - 7 = 0}} \\ \: \: is \: the \: required \: equation \: of \: line[/tex]

What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = (x + 1)^2 - 5.

Answers

This translation is down 5 :)

How to solve ×+6y=13. 2×+y=15

Answers

Answer:

x, y = 7, 1

Step-by-step explanation:

x+6y=13 ............ (i)

2x+y=15 ........... (ii)

We will apply substitute method.

From equation (i), we can get,

x+6y=13

or, x = 13 - 6y .......... (iii)

Putting the value of x in equation (ii), we can get,

2x+y=15

or, 2 × (13 - 6y) + y = 15

or, 26 - 12 y + y = 15 [multiplying]

or, -11 y = 15 - 26 [Subtracting 26 from both the sides]

or, -11 y = -11

or, [(-11 y) ÷ (-11)] = [(-11) ÷ (-11)] [Dividing both the sides by -11]

or, y = 1

Therefore, the value of y = 1

Putting y = 1 in equation (iii), we get,

x = 13 - 6y

or, x = 13 - 6 × 1

or, x = 13 - 6

or, x = 7

Therefore, the value of x = 7.

Answer: x, y = 7, 1

solve the system
-4x+8y=20
2x+2y=-30

Answers

Answer:

x = -13 and y = -4

Step-by-step explanation:

-4x + 8y = 20 ................... eqn 1

2x + 2y = -30 ................... eqn 2

Step 1: Multiply eqn 1 by 2 and eqn 2 by 4

(-4x + 8y = 20) × 2

(2x + 2y = -30) × 4

we will have

-8x + 16y = 40 ....................eqn 3

8x + 4y = - 120 .................. eqn 4

Step 2: Add eqn 3 and 4 together

20y = - 80

Step 3: divide all through by 20

y = -80/20

y = -4

Step 4: Substitute -4 for y in eqn 1

-4x + 8(-4) = 20

-4x - 32 = 20

-4x = 20 + 32

-4x = 52

Step 5: Divide both sides by -4

x = 52/-4

x = -13

Answer:

 {x,y} = {-35/3,-10/3}

Step-by-step explanation:

 -4x+8y=20;2x+2-30  

System of Linear Equations entered :

  [1] -4x + 8y = 20

  [2] 2x + 2y = -30

Solve by Substitution :

// Solve equation [2] for the variable  y 

[2] 2y = -2x - 30

[2] y = -x - 15

// Plug this in for variable  y  in equation [1]

  [1] -4x + 8•(-x -15) = 20

  [1] -12x = 140

// Solve equation [1] for the variable  x 

  [1] 12x = - 140 

  [1] x = - 35/3 

// By now we know this much :

  x = -35/3

  y = -x-15

// Use the  x  value to solve for  y 

  y = -(-35/3)-15 = -10/3 

Solution :

 {x,y} = {-35/3,-10/3} 

plzzzzzzzz help i dont understand

Answers

it is y=2 because both points have a y value of 2

Any proof professionals please help!!!!!!!! We don't drag or drop answers in we have to write them out ourselves!!!! It's worth 30 points and I'll mark BRAINLEST if it sounds right!
I need the answers in the next 3 days

Answers

Answer:

See below.

Step-by-step explanation:

1. Given.

2. Given

3. Definition of  angle bisector.

4. BD ⊥ AC

5. They are both right angles.

6. This is common on to both triangle  ABD and CBD.

7. Congruent by 2 angles and the corresponding side ( ASA?)

8. CPCTC

9. Definition of an isosceles triangle.

PLZZZZ HELP THIS IS DUE IS 5 MINUTES
The five number summary for a set of data is shown. Which choice could be the values in the data set?

Answers

Answer:

3. 14, 20, 24, 18, 16, 12, 15, 13, 17, 12, 19

Step-by-step explanation:

14, 20, 24, 18, 16, 12, 15, 13, 17, 12, 19

Rearrange data:

12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24

Min: 12

Max: 24

Median position: (11+1)/2 = 6th value

Median: 16

Q1: 3rd value form the lower end

Q1 = 13

Q3: 3rd value form the upper end

Q3 = 19

• (1) Which of the following are AP’s ? If they form an AP, find the common difference d and write 3 more terms.
• (a) 2,4,8,16……
• (b) -1.2, -3.2,-5.2,-7.2,…..
• ©2, 5/2 ,3, 7/2…..
• (d)-10,-6,-2.2, ……

Answers

Answer:

Option (b) -1.2, -3.2,-5.2,-7.2,…..  is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

Option (c) 2, 5/2 ,3, 7/2…..  is AP

the common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

Step-by-step explanation:

AP ⇒ arithmetic progression is a sequence of numbers provide that the difference of any two successive members is a constant.

So, we will check the options:

• (a) 2,4,8,16……

The difference between 2 , 4 = 4 - 2 = 2

The difference between 4 , 8 = 8 - 4 = 4

So, option a is not AP

• (b) -1.2, -3.2,-5.2,-7.2,…..

The difference between -1.2 , -3.2 = -3.2 - (-1.2) = -3.2 + 1.2 = -2

The difference between -3.2 , -5.2 = -5.2 - (-3.2) = -5.2 + 3.2 = -2

So, option b is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

• (c) 2, 5/2 ,3, 7/2…..

The difference between 2 , 5/2 = 5/2 - 2 = 1/2

The difference between 5/2 , 3 = 3 - 5/2 = 1/2

So, option c is AP

The common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

• (d) -10,-6,-2.2, ……

The difference between -10 , -6 = -6 - (-10) = -6+10 = 4

The difference between -6 , -2.2 = -2.2 - (-6) = -2.2 + 6 = 3.8

So, option d is not AP

So, the options that form an AP are b and c

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

no solution

Step-by-step explanation:

no solution

10²÷0.00541 helpssssss

Answers

Answer:

The answer would be 18484.2883549

Step-by-step explanation:

Firstly, you'll simplify 10².

10²÷0.00541 ---> 100 ÷ 0.00541

Then, you'll divide 100 by 0.00541.

100 ÷ 0.00541 ---> 18484.2883549

Answer:

18484.28835

Hope this helps

-Amelia The Unknown

Are ratios 7/4 and 42/24 equivalent

Answers

42/24 = 42/24 or 7/4 = 42/24 so yes

Step-by-step explanation:

they're equivalent

42 and 24 are multiple of 6

so 42/24

42/6 is 7

24/6 is 4

fraction is 7/4 so YES

I need help with this one

Answers

Answer: 79.27

Step-by-step explanation:

Answer:

Area of the Rectangle = 4 * 10 = 40 square inches

Area of the semi-circle = (PI * radius^2) /2

Area of the semi-circle = (PI * 5^2) / 2

Area of the semi-circle = (PI * 25) / 2

Area of the semi-circle = 39.2699081699

Total Area = 40 + 39.2699081699 =

79.2699081699 =

79.27 square inches

Step-by-step explanation:

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