Write a system of linear inequalities represented by the graph?
Inequality 1:
Inequality 2:

Write A System Of Linear Inequalities Represented By The Graph?Inequality 1:Inequality 2:

Answers

Answer 1

Answer:

y > x - 2

y >= 5x + 1

Step-by-step explanation:

Answer 2

Linear inequalities represented by the graph are y>5x+1 and  y>x-2

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The first line passes through the points

(0, 1) and (-1, -4)

The slope of line is m=-4-1/-1=5

Let us find the y intercept

1=5(0)+b

b=1

So the equation of line is y=5x+1

As the shading is outside so y>5x+1

Now let us find for 2nd line

(2, 0) and (-2, -4)

m=-4/-4=1

Now y intercept is 0=2+b

b=-2

So equation is y=x-2

As shading is outside so  y>x-2

Hence,  linear inequalities represented by the graph are y>5x+1 and  y>x-2

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Related Questions

What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?

−4
−3
−2

Answers

Answer:

-3

Step-by-step explanation:

Solution of the equation is y = -3.

What is the solution of the equation?

A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.

Given expression (3/4)y+1/4= 1+y.

simplify each term,

(3/4)y + 1/4 = 1+y

Move all terms not containing y to the right side of the equation,

(3/4)y - y = 1-1/4

(-1/4)y = 3/4

Since  both side of the expression has the same denominator, the numerators must be equal.

y = -3

Solution of the equation is y = -3.

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What is an eigenvalue.

Answers

Answer: Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).

Step-by-step explanation:

How does the equation change when the radius changes? Unlike h and k, why is r always positive?

Answers

Answer:

When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.

Step-by-step explanation:

please help
y∝1/√x If y=5
when x=36 find,
x when y=3

Answers

Answer:

x = 100.

Step-by-step explanation:

y ∝ 1/√x

y = k /√x    where k is a constant.

When x = 36 y = 5 so we have:

5 = k / √36

5 = k / 6

k = 30

So we have the relation:

y = 30 /√x

When y = 3

3 = 30/ √x

√x = 30/3 = 10

x= 100.

A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?

Answers

Answer:

$756

Step-by-step explanation:

To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so

63%=.63

.63 x 1200

They used $756 on equipment

ABC is a straight line.




The length AB is five times the length BC .

AC =90 cm.


Work out the length AB .


(3 marks)

Answers

Answer:

75 cm

Step-by-step explanation:

According to segment addition postulate we have:

AC = AB + BC

We are given:

AB = 5 BC

Then substitute values into the first equation:

AC = 5 BC + BC90 = 6 BCBC = 90/6 = 15 cm

Find the length of AB:

AB = 5*15 cm = 75 cm

You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?

Answers

Answer:

Yes

Step-by-step explanation:

20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so  that gives you 84 % . So you scored %84.

Good job

what does cpctc stand for and when would you use it

Answers

Answer:  Corresponding Parts of Congruent Triangles are Congruent

Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.

1) If v2x - 4 = 13x – 8, what is the value of x?
A) 1.
B) 2
4
D) 8

Answers

Step-by-step explanation:

is it really v2x?? or smthg else

How to memorize the multiplication table games.

Answers

I think you should use cards! its really helpful tbh.

Step-by-step explanation:

Mrs. Wong has placed together 60% of the pieces of a jigsaw puzzle She has placed 570 pieces of the puzzle together How many pieces are there in the whole puzzle? Explain whether or not it is possible to determine how many pleces there are in the whole puzzle using the given information. If so, show the calculations to find the total pieces in the puzzle If not explain why not Type the answer in the response area below

Pls help ASAP ​

Answers

570/x = 60/100. 60% of the total amount of jigsaw puzzles is 570, we could use that information to form the equation above, where x is the total amount of pieces. The total amount of jigsaw puzzles is 950.

Find the slope of a line that passes through each pair of points.

(0, 1) (2, 7) 2) (4, 5) (1, 1) 3) (1, -2) (4, 7)

Answers

Step-by-step explanation:

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

(0, 1) (2, 7)

x changes by +2 (from 0 to 2)

y changes by +6 (from 1 to 7)

the slope is +6/+2 = 6/2 = 3

(4, 5) (1, 1)

x changes by -3 (from 4 to 1)

y changes by -4 (from 5 to 1)

the slope is -4/-3 = 4/3

(1, -2) (4, 7)

x changes by +3 (from 1 to 4)

y changes by +9 (from -2 to 7)

the slope is +3/+9 = 3/9 = 1/3

The equation y = 0.8x can be used to calculate the cost (y) of x packs of bubble gum. What is the unit cost of bubble gum?​

Answers

answer =0.8

Step-by-step explanation:

if y is the cost of x bubble gum where 0.8 is the value for one then o.8 is the unit

The unit cost of bubble gum is $0.8 per pack.

What is a linear equation?

A straight line on a coordinate plane is represented by a linear equation. Y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept, which can be used to represent the equation (the point where the line intersects the y-axis).

The slope of a line, which reflects the steepness of the line, is calculated as the ratio of the change in y to the change in x between any two locations on the line. The line's intersection with the y-axis, or the value of y when x = 0, is known as the y-intercept.

The equation y = 0.8x represents the cost "y" of "x" packs of bubble gum. The coefficient of "x" in this equation is 0.8, which represents the cost per pack of bubble gum.

Therefore, the unit cost of bubble gum is $0.8 per pack.

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Help plz. I think the starting number is 100% Buu I don't know.

Answers

Answer:

19%

Step-by-step explanation:

if the starting number is 100 then 100 decreased by 10% is 100 times 0.9 =90

and decrease 10% again is 81 and in total decrease by 19%

find the value of x thank you

Answers

3x - 7 + 2x - 3 = 90

<=> 5x -10=90

<=> 5x = 100

<=> x=20

ok done. Thank to me :>

Given that the line is x/3 + y/2 =1
i ) make y the subject
ii ) gradient of line

Answers

Answer:

see explanation

Step-by-step explanation:

(i)

[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 6 to clear the fractions )

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide through by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 2

(ii)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope ( gradient ) and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form ( that is part (i)

with gradient m = - [tex]\frac{2}{3}[/tex]

Solve for x.

Solve for x.

Solve for x.

Solve for x.

Answers

Answer:

[tex]x=90[/tex]

Step-by-step explanation:

2x - 10 and x + 80 are parallel lines and equal each other.

[tex]2x-10=x+80\\x-10=80\\x=90[/tex]

Answer:

90

Step-by-step explanation:

i had this question too

Nellie says that 60 × 1,000 is 6,000 because there are three zeros in 1,000. Kara says 60 × 1,000 = 60,000. Whose thinking is correct? Explain.

Answers

kara is correct cause 60x1000 does actually equals 60,000

Answer:

Kara is right

Step-by-step explanation:

60 × 1000= 60000

The sides of a triangle are in the ratio 3, 4, 5. State whether the triangle is right angled or not.

Answers

Answer:

If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.

Step-by-step explanation:

In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.

We are given the sides of a triangle whose ratio is 3:4:5.

Considering the sides to be 3x,4x,5x.

Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.

We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.

So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.

Squaring the base side 4x, we get:

(4x)2=16x2 …….(1)

Similarly, squaring the height side 3x, we get:

(3x)2=9x2 …….(2)

Squaring the hypotenuse side 5x, and we get:

(5x)2=25x2 …….(3)

Taking the sum of (1) and (2):

16x2+9x2=25x2, which is equal to the equation (3).

That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.

Answer:

it is a right triangle

Step-by-step explanation:

If the triangle is a right triangle, it will meet the Pythagorean theorem

a^2 + b^2 = c^2

3^2+4^2 = 5^2

9+16=25

25=25

This is true so it is a right triangle

spilled $40 into the ratio of 3:7

Answers

Answer:

$12/$28

Step-by-step explanation:

Let x and y represent the two amounts of money adding up to $40.

Assume that x is the smaller amount.  Then:

 x        3

----- = -----    Remembering that x + y = $40, we get x = $40 - y

 y        7

amd sp we have

 $40 - y          3

-------------- = ------   which, after cross-multiplication, is $280 - $7y = 3y

       y             7

Simplifying this, we get $280 = 10 y, so that y must be $28.  If y = $28, x must be $40 - $28, or $12.

                                                                             $12

Then $40, split in the ratio 3/7, is the ratio ----------------

                                                                            $28

Check:  Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.

A sector of a circle is shown below. Construct a line that represents all points equidistant from MN and MP. Would a reflection across this line map the figure onto itself? Why or why not?

Answers

A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.

The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.

The steps required to construct the line are:

Using N as the center and any radius, describe an arc beyond arc NPPlace the compass at P as the center and the same radius, describe another arc to intersect the previous arc.Draw a line through the point of intersection to M. This is the required angle bisector.

ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.

The construction to this question is attached to this answer for more clarifications.

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Below are two parallel lines with a third line intersecting them.

Answers

The answer is 105 degrees! They are alternate exterior which means they are congruent! Also, they form vertical angles when you set them next to each other :)

Nada drinks 54 glasses of water a week. How many glasses of water does she drink in 9 Weeks?

Answers

Answer: 486 glasses of water in 9 weeks

Step-by-step explanation:

54 X 9 = 486

Or you could add 54 to itself 9 times then you will get 486

please help out for a brainly
show work!!

Answers

Answer:

Step-by-step explanation:

y=−5/2x−11 so slope is -5/2

y-intercept means when x is zero, then what is y? the answer is -11. So the y-intercept is (0 , 11)

mark brainliest plz

PLS HELP FOR BRAINLIST :D

Answers

Answer:

The third answer is the correct one.

The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.

Answers

The 100th even natural number is 200

Given the sequence 2, 4, 6, 8, 10....

The nth term of the sequence is expressed as:

Tn  = a + (n - 1)d

a is the first term = 2

d is the common difference = 4 - 2 = 6 - 4 = 2

n is the number of terms

Substitute the given parameters into the formula

Tn = 2(n-1)2

Tn = 2+(2n - 2)

Tn = 2n

Get the 100th term

T10=  2(100) = 200

Hence the 100th even natural number is 200

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Answer:

1)

200

2)  

10100

3)

less than

Step-by-step explanation:

on god

ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8

Answers

Answer:

Below.

Step-by-step explanation:

Using PRT/100 = I, we can prove that x = 8.

=> 1000 x 0.65 x 8/100

=> 10 x 0.65 x 8

=> 6.5 x 8

=> £52

Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.

Which function represents a translation of the graph of v=x^2
by 10 units to the left?
O A. v=x^2+10
O B. v=(x+10)^2
O C. y=10x^2
O D, y=(x-10)^2

Answers

Answer:

B.

Step-by-step explanation:

That would be y = (x +10)^2.

many non-profit groups ask for donations during december. do men give higher monetary donations than women in the month of december? how should we write the alternative hypothesis? let mum be the population mean donation for men and let muw be the population mean donation for women.

Answers

Men will use money for drugs, the women like purse

Find the perimeter. Simplify your answer.

Answers

Answer:

32a-18

Step-by-step explanation:

add together the side lengths:

10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18

Answer:

32a-18

Step-by-step explanation:

you just sum it all together

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