Which inequality is represented by this graph?

Which Inequality Is Represented By This Graph?

Answers

Answer 1

Answer: Choice B.  [tex]y \le -\frac{1}{3}x+1[/tex]

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

Explanation:

We need to know the equation of the boundary line. This boundary goes through (0,1) and (3,0). Find the slope of the line through these points

m = (y2-y1)/(x2-x1)

m = (0-1)/(3-0)

m = -1/3, negative slope means the line goes downhill as we move from left to right.

The y intercept is b = 1 as this is where the boundary crosses through the y axis

y = mx+b turns into y = (-1/3)x+1 after replacing m and b with m = -1/3 and b = 1 respectively.

The equation of the boundary line is y = (-1/3)x+1

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

The shading is below the boundary, so we'll have a "less than" sign involved here. More specifically, we'll have a "less than or equal to" sign because the boundary is a solid line rather than a dashed one. A solid line tells us "points on the boundary are part of the solution set". The inclusion is because of the "or equal to" portion.

Change the equal sign to a less than or equal to sign to get the final answer of [tex]y \le -\frac{1}{3}x+1[/tex] which is choice B.


Related Questions

Which of these are a trinomial?

Answers

Answer:

D

Step-by-step explanation:

the number of bacteria in a sample can be modeled by the equation yy=75(.8)^xx where y is the number of bacteria and is x the number of days elapsed. what is the rate of decay?

Answers

Answer:

20 % decay

Step-by-step explanation:

Exponential equations are in the form

y = a * b^x

a is the initial value

b is the growth or decay

b>1 is growth b-1 rate  of growth

b <1 decay  1-b rate of decay

1-.8 = .2

Change to decimal form

20 % decay

Which of the following steps would you preform to the system of equations below so that the equations have opposite y-coefficients? 4x+2y=4 12x-y=26

Answers

Answer:

FIRST.  Multiply both sides of the bottom equation by 2

Step-by-step explanation:

12x - y = 26

  ×2        ×2

24x - 2y = 52

-2 is opposite to 2

Find the number of vertices on this
solid.

Answers

Answer:

12

Step-by-step explanation:

A vertex is the common endpoint between two line segments, aka the points of a shape. If we count the vertices, we find 12 of them.

Answer:

There are 12 vertices on this solid

Step-by-step explanation:

HELP If you apply these changes to the linear parent function , f(x)-=x what is the equation of the new function vertically compress by a factor of 5 shift up 7 units

Answers

Answer:

transformed function, g (x) = (1/5)(-x)+7

Step-by-step explanation:

Assuming

f (x) = -x           (and not f(x)-=x)

To compress/expand, we apply

g (x) = a*f(bx-k)+h

where

a=vertical stretch factor, a= 1/5 for compression (to stretch 5 times, a=5)

b=horizontal compression factor (=1 i this case)

h=vertical translation (=7)

k=horizontal translation (=0)

So the transformed function,

g (x) = (1/5)(-x)+7

A block measure 22cm by 11cm by 7cm. How many of these blocks will be needed to build a wall 5 1/2m long, 22cm thick and 3 1/2m high.​

Answers

Answer:

The number of blocks that will be needed to build the wall is 2500

Step-by-step explanation:

The number of blocks that will be needed to build the wall is;

[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\[/tex]

given the dimensions of the block and wall as;

block = 22cm by 11cm by 7cm

wall = 5 1/2m long, 22cm thick and 3 1/2m high. = 550cm by 22cm by 350cm

substituting into the equation, we have;

[tex]n = \frac{volume of wall}{volume of block} \\volume = l *b*h\\\\n = \frac{550*22*350}{22*11*7} \\n = 2500[/tex]

The number of blocks that will be needed to build the wall is 2500

Work out the size of angle x

Answers

Answer:

hope its helpful........

Answer

x = 121°

Explanation

Angle bottom left corner.

Since the triangle touches a horizontal plane, we know the 2 angles have to add up to 180 degrees.

115 + x = 180

x = 180-115 = 65°

Angle at the top

We know a full circle is 360 degrees.

Let’s say the triangle angle is x

x + 304 = 360

360 - 304 = 56°

Angle of triangle at the bottom right.

We know angles of a triangle add up to 180°.

Since we just calculated the 2 other triangles:

56° + 65° + x = 180

180 - 56 - 65 = 59°

As the triangle sits on a horizontal plane, the angle marked x in the picture + the interior angle have to add to 180.

59° + x = 180

x = 180 - 59 = 121°

Please answer ASAP (No explanation needed!) <3

Answers

Answer:

Step-by-step explanation:

813143

Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.

Answers

Answer:

Well, Your best choice is y=1/4x+ 1

Sorry, I don't have a explanation. Hope This Helps!!~

If you took $1,000 and put it into an interest-bearing savings account compounding quarterly at 3%, how much would your fund be worth at the end of one year?

Answers

Answer:

$1007.50

Step-by-step explanation:

Compounded Interest Rate Formula: A = P(1 + r/n)^t

We are given p, r, n, and t. Simply plug them into the formula:

A = 1000(1 + 0.03/4)¹

A = 1000(1.0075)¹

A = 1000(1.0075)

A = 1007.50

given m∠RPS=3x-38° m∠QPR=7x-95° find m ∠QPR

Answers

Answer:

m∠QPR = 31°

Step-by-step explanation:

So, let's keep in mind that QPS = 47 Degrees

Given that, we find that 3x - 38 + 7x - 95 = 47

from this, 10x - 133 = 47

then => 10x = 180

x = 18

So now we plug it in

--> 3(18) - 38 = RPS

54 - 38 = 16

RPS = 16 Degrees

--> 7(18) - 95 = QPR

126 - 95 = QPR

QPR = 31 Degrees

and Thus, m angle QPR is equal to 31 Degrees

Checks:

16 + 31 = 47

Total = 47

So it is correct

Hope this helps!

The measure of angle QPR is 31°.

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given that, m∠QPS=47°, m∠RPS=3x-38° and m∠QPR=7x-95°.

Here, m∠QPS=m∠RPS+m∠QPR

3x-38°+7x-95°=47°

10x-133°=47°

10x=180°

x=18°

So, m∠QPR=7×18°-95°

m∠QPR=126°-95°

m∠QPR=31°

Therefore, the measure of angle QPR is 31°.

To learn more about an angle visit:

https://brainly.com/question/9811089.

#SPJ2

A passenger ship and an oil tanker left port sometime in the morning; the former headed north, and the latter headed east. At noon the passenger ship was 40 mi from port and moving at 30 mph, while the oil tanker was 30 mi from port and moving at 20 mph. How fast was the distance between the two ships changing at that time

Answers

Answer:

distance between the two ships changing at that time is 36 mph

Step-by-step explanation:

given data

ship = 40 mi from port

ship moving = 30 mph

oil tanker = 30 mi from port

oil tanker moving = 20 mph

solution

we will apply here pythagoras theorem so we get here

x² + y² = L²   .....................1

here x is distance of ship from port

and y is distance of oil tanker from port

and L is distance between oil tanker and ship

so put here value and we get

40² + 30² = L²

L = 50 mile

now we differentiate equation1 with respect to time t

[tex]2x\ \frac{dx}{dt} + 2y\ \frac{dy}{dt} = 2L\ \frac{dL}{dt}[/tex]      ...............2

put here value  and we get

40 × 30 + 30 × 20 = 50 × [tex]\frac{dL}{dt}[/tex]  

[tex]\frac{dL}{dt}[/tex]   = 36 mph

so distance between the two ships changing at that time is 36 mph

please help i will give out brainliest

Answers

answer on image attached. pls give brainliest :)

Part A)

In order to obtain the y values you simply sub in the x- coordinates to the equation y=x^3 -4x.

In the spaces,from left to right, the y coordinates are

5, -3, -4, 0

Part B)

B as you know the roots ( x-intercepts ) of the equation pass through 0 and 4

which statement about 12 is not true it is a square number or it is the least common multiple of 3 and 4 or it is a factor of 60 or it is an even composite number

Answers

Answer:

it's a square number

Step-by-step explanation:

Division by 0 is defined ​

Answers

Answer:

This is false because any number divided by 0 is undefined.

the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1
4(1 - 6)2
25 + 1
(41 – 6)
2(1 + 1)
413 - 6
2(1 + 1)
(41 - 6)
21 + 1


Answers

Answer:

  [tex]\dfrac{(4x-6)^3}{2}(x+1)[/tex]

Step-by-step explanation:

Maybe you want your verbiage written as a mathematical expression.

"the difference of 4 times x and 6" is (4x -6). "the sum of x and 1" is (x+1).

No other grouping is indicated, so we have ...

  [tex]\boxed{\dfrac{(4x-6)^3}{2}(x+1)}[/tex]

Can anyone please explain
what a function mean? (in maths:graph,etc) i haven't learnt this but it might be useful for future references​

Answers

Answer:

For example, the position of a planet is a function of time. ... A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

Step-by-step explanation:

Please help urgently

Answers

Answer:

203.5

Solution,

Onions less than 60 grams = 2 --> Pickling

Onions greater than 120 grams = 5 + 3 = 8 --> Market

Onions between 60 and 120 = 13---> Processing

Total frequency = 2 + 8 + 13 = 23

Now,

[tex]x = \frac{13}{23} \times 360[/tex]

[tex]x = 203.48[/tex]

[tex]x = 203.5[/tex]

Hope this helps ..

Good luck on your assignment...

Answer:

x=190°

Step-by-step explanation:

find the frequency of the given numbers dividing by their numbers

onions less than 60g=(2+2/2)=²/9

onions greater than 120g=(5+3/2)= 4 (4+3/2). =3.5/9

To convert into degrees so that they can fit in the bar graph multiply the frequencies by 360 that is:

picking=²/9×360=80°

market=3.5/9×360=90°

x=360°-90°-80°

x=190°

confirmation

pie chart° add up to 360°

picking=80°

market=90°

x=190°

190°+80°+90°=360°

PLLLLLLLLLLEEEEEEEEAAAAAAAASSSSSSSSSSEEEEEEE HELP ME Tracy has forgotten how to complete the square. (A) Give her a detailed description of the process so she can understand how to do it. (B) and provide an example of each.

Answers

Answer:

in an equation ax^2+bx+c to complete the square it turns to

a(x+d)^2+e where d=b/2a and e=c-b^2/4a

example:x^2+4x+1=0

complete the square:

d=b/2a=4/2(1)=2

e=c-b^2/4a=1-4^2/4(1)

e=1-16/4=-3

a(x+d)^2+e

1(x+2)^2-3=0

check if it is rigt: (x+2)^2=x^2+4x+4

x^2+4x+4-3=

x^2+4x+1 it is correct

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Answers

Answer:

The answer is below

Step-by-step explanation:

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Answer:

Let the amount of dough needed for a small pizza be S, the amount of dough needed for a medium pizza be M and the dough needed for a large pizza be L.

The amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza, therefore:

M = (3/2)S

The amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Therefore

L = (5/2)S

the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. That is:

L = M + S

(5/2)S = (3/2)S + S

5S = 5S

The equation cannot be solved.

But if he wants the amount of dough for a large pizza to be 5/2 kg.

L = M + S

(5/2) = (3/2)S + S

S = 1 kg

cydus
How many solutions doos the equation 4+4x - 3=4x +5 have?

Answers

0 solutions because simplifying the equation gives us 1 = 5, which is never true

Answer:

No solutions

Step-by-step explanation:

4 + 4x - 3 = 4x + 5

4x + 1 = 4x + 5

Add -4x and -1 on both sides.

4x - 4x = 5 - 1

0 = 4

There are no solutions.

i need an answer ASAP! Fill in the table. To obtain each planets distance from the sun and orbital period. ​

Answers

1.47 and the other one would be 1.46

Answer:

Mercury: 0.39 and 0.242

Venus: 0.72 and 0.616

Earth: 1 and 1

Mars: 1.52 and 1.88

Jupiter: 5.20 and N/A

Saturn: N/A and 29.5

Uranus: 19.18 and 84.0

Neptune: 30.06 and 165

Step-by-step explanation:

edge2021

Tom brown decided to purchase a new bike on an installment loan.The bike was $300.00He agreed to pay $30 a month for 12 months . What is the finance charge in dollars

Answers

Answer:

The answer is $60. $30 × 12 = $360 – $300 = $60.

Step-by-step explanation:

Help!!!! please!!!!!

Answers

Answer:

40cm²

Step-by-step explanation:

The lateral area is the sum of the faces's area

let La be the lateral area

La= 4*5*2= 20*2= 40 cm²

If a student is selected at random, find the probability the student is a freshman. Round to the nearest whole percent.

Answers

Answer:

Out of the 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 total students, 4 + 3 = 7 are freshmen so the answer is 7 / 30 * 100 = 23%.

Answer:

23%

Step-by-step explanation:

4 + 6 + 2 + 2 + 3 + 4 + 6 + 3

There are total of 30 students.

4 + 3

7 students are freshman.

Find the percentage.

7/30 × 100

700/30 = 23.333333...

Round to nearest whole percent.

23%

Which one of the following statements is FALSE about symmetry? Select one: a. An object and its image in a mirror are symmetric. b. The diagonal of a rectangle is a line of symmetry. c. A square has four lines of symmetry.

Answers

Answer:

B. The diagonal of a rectangle is a line of symmetry.

Step-by-step explanation:

because the sides are not the same length. if you fold this rectangle diagonally so that Corner A meets Corner D, they will not match.

Thank Me later!

3) What is the difference? 7,840 - 4,971*
0 2,769
0 2,869
0 2,879
0 2,969

Answers

Answer:

2869

Step-by-step explanation:

7,840 - 4,971

Subtract.

= 2869

Answer:

0 2,869

hopefully this helped :3

A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?

Answers

Answer:

It intersects the x-axis at x = 10

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 1)/(5 - 9)

m = 4/-4

m = -1

y = -x + b

Step 2: Find b

5 = -5 + b

b = 10

Step 3: Rewrite equation

y = -x + 10

Step 4: Find x when y = 0

0 = -x + 10

-10 = -x

x = 10

So the graph crosses the x-axis at 10.

Which of these tables represents a function

Answers

Answer:

Z.

Step-by-step explanation:

A function must pass the Vertical Line Test. No 2 y-values can have the same x-values. Since the first 3 graphs fail to pass the vertical line test, our answer is Z.

I need serious help. I will give a BRAINLIEST ANSWER to the person who helps me! It is urgent!!!!

Answers

OMG!! How is is that even a maths question, it looks so hard!
I’m so sorry but I have no clue what that is!
Other Questions
Apply the distributive property to create an equivalent expression. 6 (a +2b+3c) can someone help me with part b of question please. Jimmy is using a recipe that calls for 3/4 cup of flour. He only has a 1/8 of a cup measure spoon. How many spoons of the 1/8 will he need to be equivalent to 3/4? A car travels an average speed of 45km per hour. What distance does it cover in 12 hours? Which sentence describes how the migration of farmers from rural to urban areas affected Europe? A. Many villages were abandoned, leading to lower food production. B. The number and population of cities increased rapidly. C. Most farmers in rural areas prospered because more land was available. D. Governments began to regulate industries to ensure the welfare of workers. Bonnie volunteers to bring bags of candy to her child's class for the Halloween party this year. She buys one bag of candy Acontaining 120 pieces of candy, one bag of candy B containing 440 pieces of candy, and one bag of candy C containing520 pieces of candy. She needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make sothat each one has the same number and variety of candy? How many of each type of candy will be in each bag? 9. How many moles of H2SO4 are there in 98 g of H2so4 Click on the following figure to show the reflection about m. A, B, C, D? 1st pic A, 2nd pic B, and so on can someone help me plzz! Tom bought a soft drink for 3 dollars and 7 candy bars. He spent a total of 24 dollars. How much did each candy bar cost ? i just need an equation to resembel this probelm In the last decade, South Korea has focused on Question 3 options: textiles. high-tech industries. light manufacturing. military equipment. Read the sentence which type of phrase or clause is underlined in the sentence? Adjective clause What foods have peroxides? what is the coefficient of b in the expression b - 5b +18 *PLEASE ANSWER* What is the area of minor sector AOB? I need help ASAP! It's urgent.. PLISSSSS While cellphones and smartphones have infinite positive effects on society, some feel they are a source of stress. Do you personally feel stressed because of your phone use? Consider how many texts you send/receive each day, the need for you to constantly check your phone, the stress associated with social media, etc. If you do not have a phone, use your observation of a family member or friends to weigh in on this topic instead. In ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find mADB if mA = , mB = magine that the Buddha is going to conduct an assembly about Buddhism at your school. You have been selected to give a speech to introduce the Buddha. Pick at least six key points to introduce the Buddhas life and teachings. List the six points you chose. How many of your five weekly workouts do you get to design yourself, starting in the third week?