Write an inequality, in slope-intercept form, for the graph below. If necessary,
use '<="for < or ">" for >.
(-3,0)
X
5
(0, -3)
-5

Write An Inequality, In Slope-intercept Form, For The Graph Below. If Necessary,use '&lt;="for &lt; Or

Answers

Answer 1

Given:

The graph of an inequality.

To find:

The inequality in slope intercept form.

Solution:

The slope intercept form is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))[/tex]

[tex]y=\dfrac{-3}{3}(x+3)[/tex]

[tex]y=-1(x+3)[/tex]

[tex]y=-x-3[/tex]

From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".

[tex]y\geq -x-3[/tex]

Therefore, the required inequality is [tex]y\geq -x-3[/tex].


Related Questions

an amusement park has 350 people enter over 7 hours. what is the unit rate per hour?

Answers

Answer:

50

Step-by-step explanation:

to get the unit per hour, you have to divide the amout, which is 350, by the time, which is 7, and you get 50

what is 500+222+221 and

Answers

Answer:

943

Hope that this helps!

Find an ordered pair that represents the vector from (-3.7,2) to (-4, -5).

a.
(-7.7,-3)

c.
(1.3,7)
b.
(-0.3,-7)
d.
(7.7,3)


Please select the best answer from the choices provided

A
B
C
D

Answers

Given:

A vector from (-3.7,2) to (-4, -5).

To find:

An ordered pair that represents the vector

Solution:

If [tex](x_1,y_1)[/tex] is the initial point and [tex](x_2,y_2)[/tex] is the terminal point of a vector, then ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)[/tex]

A vector from (-3.7,2) to (-4, -5). So, the ordered pair that represents the vector is:

[tex](x_2-x_1,y_2-y_1)=(-4-(-3.7),-5-2)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-4+3.7,-7)[/tex]

[tex](x_2-x_1,y_2-y_1)=(-0.3,-7)[/tex]

Therefore, the correct option is b, i.e., (-0.3,-7).

A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?

Answers

Respuesta:

a = 82; b 164

Explicación paso a paso:

a = 1 / 2b - - - (1)

a gana 66 = a + 66

b = b - 90

a = 2b

a + 66 = 2 (segundo - 90) - - - (2)

Ponga a = 1 / 2b en (2)

1 / 2b + 66 = 2 (b-90)

0.5b + 66 = 2b - 180

0.5b - 2b = - 180 - 66

-1,5b = - 246

b = 164

a = 1 / 2b

a = 1/2 * 164

a = 82

Basit plate and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third time he scored 30000 what was his Score per game ?​

Answers

Answer:

60000 points per game

Step-by-step explanation:

Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game​.

Solution:

Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.

Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:

Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game

what question is being asked ?​

Answers

Answer:

4 meters

Step-by-step explanation:

Assuming that the garden is a rectangular garden, its area would be length ×width.

Let the length be L meters and the width be W meters.

Area= L ×W

48= LW -----(1)

Given that the length is 3 times the width,

L= 3W -----(2)

Substitute (2) into (1):

48= 3W(W)

3W²= 48

Divide both sides by 3:

W²= 48 ÷3

W²= 16

Square root both sides:

[tex]W = \sqrt{16} [/tex]

W= 4 (reject negative as width cannot be a negative number)

Thus, the width of the garden is 4 meters.

What is the equation of a circle with center (-3, -5) and radius 4?

Answers

Answer:

The choose (A)

A- (x+3)²+(t+5)²=16

Answer:

A (x + 3)^2 + ( y + 5 )^2 = 16

Step-by-step explanation:

The formula for equation of a circle is (x - h ) ^2 + ( y - k ) ^2 = r ^2

                                                            ( h , k ) represent the coordinates

                                                              r represents the radius

Plug in the numbers ( x - (-3) ) ^2 + ( y - (-5) ) ^2 = 4 ^2

2 negatives make a positive

So the equation would be (x + 3)^2 + ( y + 5 )^2 = 16

You also need to make sure you square the radius

which one is it?‼️‼️

Answers

C is the correct answer I had this question before

Answer:

C

Step-by-step explanation:

20 ÷ 5 = 4

24 ÷ 6 = 4

28 ÷ 7 = 4

32 ÷ 8 = 4

So the correct answer is C

If 8 bags of grapes cost $20.00, how much do 3 bags of grapes cost?

Answers

Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.

How much do 3 bags of grapes cost?

Given that;

8 bags of grapes cost $20.00

First, we find how much each bag of grape cost

8 bags = $20.00

1 bag = x

x = $20.00 / 8

x = $2.5

Now, if 1 bag of grapes cost $2.5

3 bags of grapes will cost y

y = 3 ×$2.5

y = $7.5

Given that eight bags of grapes cost twenty dollars, the cost of 3 bags of grapes will be $7.5.

Learn more word problems here: brainly.com/question/2610134

#SPJ2

Ms. Potter bought x number of shirts for the new members of her chorus. The cost for x numbers of shirts, including $6.99 shipping, was $195.99. Each shirt costs $18.25. There was no sales tax on this purchase. Which equation could be used to find x?

Answers

Answer:

instead of finding x find an ps4

Step-by-step explanation:

like what

The sails of two boats are pictured below. What is the value of y?

Answers

Answer:

C 70

Step-by-step explanation:

since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.

remember, the sum of all angles in a triangle is always 180 degrees.

so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore

y = 180 - 90 - 20 = 70

Simplify √27x². I know the answer is 3x√3, but my teacher wants me to show how I solved it and i dont know how...please help.

Answers

Answer:

[tex]3\sqrt{3}x[/tex]

Step-by-step explanation:

Expand √27x² in such a way that it is the :-

Product of at either two or more perfect square numbers or,Product of two or more numbers out of which one (or more) is a perfect square number.

So ,

[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]

How is 80.106 written in expanded form?
Pls answer !!

Answers

Answer:

B

Step-by-step explanation:

This is pretty self explanatory and easy..

beth walks 8 miles in 120 minutes. assume beth maintains a constant speed. what is the number of miles beth walked in one hour? i need helppp!!

Answers

Answer:

1 mile in 15 minutes

Step-by-step explanation:

Simply divide 120  by 8

120/8=15

whats the missing leg?

Answers

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2+b^2=c^2

a^2+2^2=7^2

a^2+4=49

a^2=49-4

a^2=45

a=[tex]\sqrt{45}[/tex]

a=3[tex]\sqrt{5}[/tex]

a=6.7

Area of triangle please help

Answers

Answer:

A= 18

Step-by-step explanation:

Answer:

18 your answer is correct

Step-by-step explanation:

12x3=36

36÷2=18

You have some candies in your pocket. A friend gives you five more candies. When you count all your candies you have 14

Answers

Answer:

9 candies

Step-by-step explanation:

You are required to find the number of candies in your pocket

Let

x = number of candies in your pocket

A friend gives you five more candies.

Total candies = 14

This can be represented by the equation:

Total candies = candies in your pocket + candies your friend gave you

14 = x + 5

14 - 5 = x

9 = x

x = 9 candies

x = number of candies in your pocket = 9

**PIC INCLUDED**
What is the total payment
required to pay off a promissory
note issued for $500.00 at 10%
ordinary interest and a 180-day
term?

Answers

Answer:

the total payment need to pay is $525

Step-by-step explanation:

Given that

The amount at promissory note issued is $500

The rate of interest is 10%

And, the time period is 180 days

So, the total payment included is

= $500 + ($500 × 10% × 180 days ÷ 360 days)

= $500 + $25

= $525

hence, the total payment need to pay is $525

Shanices school is selling Tickets to the annual talent show. On the first day of ticket sales the school sold 5 adult tickets and 8 child tickets for a total of $102. The school took in $39 on the second day by selling 2 adult tickets and 3 child tickets. Find the price of an adult ticket.

Answers

Answer:

Children tickets = $9

Adult tickets= $6

HELP ASAP

A pair of equations is shown below:

y = 2x + 9
y = 4x − 3

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show the first step you would use. (4 points) Write the solution. (2 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intrsect? Explain your answer. (4 points)

Your answer:

Answers

Answer:

(6,21)

Step-by-step explanation:

Given that,

y = 2x + 9 .....(1)

y = 4x − 3 .....(2)

From equations (1) and (2),

2x + 9 = 4x − 3

Taking variables both sides and constants to another side.

9+3 = 4x-2x

12 = 2x

x = 6

Put the value of x in equation (1).

y = 2(6) + 9

y = 12 + 9

y = 21

The solution of the given equations is x = 6 and y = 21. If we graph them, they will intersect at (6,21).

There is a prism with a pentagonal base the height is 8 cm the area of the pentagonal base is 30.5cm what is the volume of the prism

Answers

Answer:

244 cm³

Step-by-step explanation:

Step 1: Given data

Height of the prism with a pentagonal base (h): 8 cm

Area of the pentagonal base (A): 30.5 cm²

Step 2: Calculate the volume of the prism with a pentagonal base

We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.

V = A × h

V = 30.5 cm² × 8 cm = 244 cm³

Is the point (0,4) a solution to the system
of inequalities below?
y<-3.x +4
y> 5x – 2

Answers

Answer:

No

Step-by-step explanation:

To determine if the point is a solution to either of the inequalities, substitute the variables with the point given. When y<-3.x+4 is substituted with (0,4), the inequality becomes 4<4, which proves that the point is inapplicable to the first inequality. Therefore, you do not need to continue to check its applicability with the second inequality.

HELP!

If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?

A. 42cm

B. 36cm

C. 35cm

D. 18cm

Answers

The height of the altitude h is 18 cm.

What is an altitude?

Altitude is the vertical height of an object above some chosen level.

To calculate the length of the altitude h, we use the formula below

Formula:

h = 3v/l²................ Equation  1

Where:

v = Volume of the pyramidl = Length of the baseh = length of the altitude

From the question,

Given:

v = 216 cm³l = 6 cm

Substitute these values into equation 1

h = 3×216/6²h = 18 cm

Hence, the right option  is D. 18 cm.

Learn more about altitude here: https://brainly.com/question/27816517

#SPJ1

What is the simplest form of b/bc ??

Answers

b/bc =b/b =0 left c
Ans c

Which of the following rational numbers lies between 1/3 and 2/3?

Answers

Answer:  Choice B

24/48,  20/48,  18/48,  17/48

==========================================================

Explanation:

1/3 = 0.333 approximately

2/3 = 0.667 approximately

We're looking for values between 0.333 and 0.667

We can rule out choice A because 1 doesn't fit the description.

Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667

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

Choice B works because all the decimals shown below are between 0.333 and 0.667

24/48 = 0.50020/48 = 0.417 (approximate)18/48 = 0.37517/48 = 0.354 (approximate)

What is the answer and explanation

Answers

Answer:
-4 1/3 < -1 3/4

Explanation:
The negative number farther away from 0 is smaller.

Answer:

- 4 1/3 < - 1 3/4

Step-by-step explanation:

The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4

A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train travels 30 mph faster then the first. If the second train overtakes the first at 6:00 pm, what is the the speed of each of the two trains?

Answers

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

Please help me with this

Answers

Step-by-step explanation:

angle 6 = 61° (definition of vertical angles)

angle 3 = 61° (definition of alternate interior angles)

angle 1 = 61° (definition of vertical angles)

angle 7 = 119° (definition of supplementary angles)

angle 5 = 119° (definition of supplementary and vertical angles)

angle 4 = 119° (definition of consecutive interior angles)

angle 2 = 119° (definition of vertical angles)

100 POINTS
which of the following best describes the general situation in post war America

A. low unemployment

B. Great Depression

C. population decrease

D. equality for all

Answers

A. low unemployment

I hope this answer helps you...

A warehouse has a height of 8\frac{1}{2}8 2 1 ​ meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 ​ meters

Answers

Answer:

10,353m³

Step-by-step explanation:

We can look for the volume of the warehouse since we are not told what to look for

Volume of the warehouse = length * width * height

Given

Length  = 120m

Width = 20 3/10 = 203/20 m

Height = 8 1/2m = 17/2 m

Volume of the warehouse = 120 * 203/20 * 17/2

Volume of the warehouse = 6 * 203 * 17/2

Volume of the warehouse = 3 * 203 * 17

Volume of the warehouse = 10,353 cubic metres

Hence the volume of the warehouse is 10,353m³

Other Questions
Identify the purpose of both the Kyoto Protocol and the Paris Agreement PELASE HELP ME I NEED HELP 1-Which or the following ratios are equivalent?2-find this area.3-what is the area of this trapezoid? Someone, please help I will crown brainliest If the molecule has n-C2 axes perpendicular to its Cn axis, choose True. Otherwise, choose False. Be sure to build a model or draw the structure before selecting your answer. If needed, search for the molecular structure online or in a textbook.XeF4[PdCl4]2naphthalenefuran, C4H4O What is an investment portfolio? A. A selection of varied accounts B. A selection of varied instruments C. A selection of varied applicationsD. A selection of varied stocks and bonds Why did Van Buren want to create a national treasury? if c. p =rs 100, profit =rs 5, then find profit percent Bramble Corp. has the following costs when producing 100000 units: Variable costs $600000 Fixed costs 900000 An outside supplier is interested in producing the item for Bramble. If the item is produced outside, Bramble could use the released production facilities to make another item that would generate $200000 of net income. At what unit price would Bramble accept the outside suppliers offer if Bramble wanted to increase net income by $140000? a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit What do they mean by " pick your current class designation "? Lol Ik I'm slow An enzyme that breaks DNA, dispels the tension, and reseals the strand ahead of a DNA replication growing fork is called a(n): Distribute-3/7 (21x - 7) Increases in productivity are difficult to achieve if Open Hint for Question 15 in a new window. the task is more physical and tangible. the task is more good-producing and standardized. the task is more quantitative and repetitive. the task is more intellectual and personal. please answer all even questions and if you get them right ill date you for 1 day girl or boy but please help With whom does Napoleon play cards at the end of thenovel? Is Vaseline edible??????????????????????/ NO LINKS RIGHT ANSWERS ONLY!!!!!!! -----------Refers to the soil that is frozen solid all year round does not even melt in the summer.FrostGlazePermafrost Verglas Find the value of T1 if 1 = 30, 2 = 60, and the weight of the object is 139.3 newtons.A. 69.58 newtonsB. 45.05 newtonsC. 25 newtonsD. 98.26 newtons Please help I will mark Brainlyist Calculate the marked price (original price) ifa. After 25% discount, the price of an article is Rs 7500,please with explanation and calculation the answer should be Rs 10 000