Find the inequality represented by the graph

Find The Inequality Represented By The Graph

Answers

Answer 1
the answer is y ≥ 1/2x
Answer 2

Answer:

[tex]y\geq \frac{1}{2}x[/tex]

Step-by-step explanation:

To find the inequality represent by the graph, we first must find the linear equation that represents that line.

So, in first place, we find the slope of the line, using two point (0,0) and (2,1):

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }=\frac{1-0}{2-0}=\frac{1}{2}[/tex]

Now, using one point, the slope and the slope-point formula, we find the linear expression

[tex]y-y_{1}=m(x-x_{1})\\y-0=\frac{1}{2}(x-0)\\ y=\frac{1}{2}x[/tex]

Then, with the linear expression, we just need to take a test point form the shaded area and evaluate the expression, the point is gonna be (0,1):

[tex]y=\frac{1}{2}x\\1=\frac{1}{2}(0)\\ 1=0[/tex]

We know that 1 is more than zero, this means that the right inequality sign is [tex]\geq[/tex], due to the relation of the numbers, and because line is solid.

Therefore, the inequality is

[tex]y\geq \frac{1}{2}x[/tex]


Related Questions

Help me with this I was trying to figure this out for half an hour /4rth grade Go math

Answers

4+3=7 and 7x2 is 14 so cooper has 14 and nando and jill have 7 total.

Answer:

Hi 14 goldfish

Step-by-step explanation:

The equation would be 4+3*2 and the final answer would be 14 goldfish

What is the solution of 4x+9=2x-6?

Answers

4x+9=2x−6

Step 1: Subtract 2x from both sides.

4x+9−2x=2x−6−2x

2x+9=−6

Step 2: Subtract 9 from both sides.

2x+9−9=−6−9

2x=−15

Step 3: Divide both sides by 2.

2x

2

=

−15

2

x=

−15

2

Answer:

x=-15/2




HELP! My math assignment is due in 15 minutes and this question makes no sense!

The rules for an essay contest say that entries can have 500 words with an absolute deviation of at most 30 words. Write and solve an absolute value inequality that represents the acceptable numbers of words.

Answers

Answer:

Now you can give brainliest to the person that answered the question

Step-by-step explanation:

cause the answer helped me

The absolute value inequality to represent the number of words Constraint is 470 ≤ X ≤ 530

Number of words required = 500

Error or deviation = 30

This means that :

Minimum number of words = 500 - 30 = 470Maximum number of words = 500 + 30 = 530This means that number of words must not be below the minimum value of 470 and it must not exceed the maximum number of 530

Therefore, an absolute value which represents the acceptable number of words :

Minimum ≤ number of words ≤ maximum

Hence, the absolute value inequality for the number of words required is 470 ≤ X ≤ 530

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Which relation is a function?

Answers

The relation that is a function is that represented in the fourth graph. y = 2IxI

You must know that for a relation to be a function, there can not be two different values of f (x) for the same value of x.

In other words, if we have two sets P and M.

A function "f" between them is a relation that assigns to each value of the set P a single value of the set M.


To quickly verify when observing a graph it draws vertical lines and if they cut the graph in two points then the relation is not a function because it assigns two different values of f (x) for the same value of x.

By doing this test you will verify that only the fourth image represents the graph of a function.

3.Mike and Beth are saving money to go to Disneyworld. They need at least $1975 in order to go. Mike mows yards and Beth will wash cars to raise money. Mike charges $25 each time he mows a yard and Beth charges $15 for each car she washes. The number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow. Beth will wash at least 50 cars. Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked. Answer:

Answers

Answer:

[tex]25x+15y\geq 1975\\y\leq 4x\\y\geq 50\\x\geq 0[/tex]

Step-by-step explanation:

Let x represents the number of lawns mowed by Mike and y represents the number of cars washed by Beth.

Then, the amount earned by Mike if he charges $25 for moving the lawn[tex]=25x[/tex]

And the amount earned by Beth if she charges $15 for moving the lawn[tex]=15x[/tex]

Then, as need at least $1975 in order to go Disneyworld.

So, first inequality is,

[tex]25x+15y\geq 1975[/tex]

Now, it is given that the number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow. So, this gives the inequality,

[tex]y\leq 4x[/tex]

Next, it is given that Beth will wash at least 50 cars. So,

[tex]y\geq 50[/tex]

Lastly, as the number of lawns mowed can't be negative, so

[tex]x\geq 0[/tex]


the lava in a volcano rest 220 ft below sea level when the volcano erupts the lava shoots 930 ft upward how high does the lava reach before it starts to fall

Answers

The Equation i did for this is  930 + -220= 710, I did a Negative on 220 is Because The Text States that it is "under" The Sea level.

The height of the lava that is measured from the sea level will be 710 feet.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The lava in a volcano rest 220 ft below sea level when the volcano erupts the lava shoots 930 ft upward.

The height of the lava that is measured from the sea level will be given as the difference between the numbers 930 ft and 220 ft.

⇒ 930 - 220

⇒ 710 feet

The height of the lava that is measured from the sea level will be 710 feet.

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rewrite the expression using addition -17.9 - 4.2

Answers

You can say -17.9+(-4.2)

17.9 +4.2 = 22.1 expression using addition

find the area........

Answers

Do what I said for the first one I answered and you will definitely get the correct answer.

A starfish's top speed is approximately 161 centimeters per minute. What is this speed to the nearest centimeter per second? plz help due Tuesday!.

Answers

2.7 cm per second. Because it’s 161 divided by 60

It would be 3 cm per second. You need to divide the 161 cm/min by 60 (60 sec + 1 min) 161 / 60 = 2.68333.., which is rounded to 3 cm/sec.

Find the solution of 7x = 35, and verify your solution using substitution.

A. x = 6; 7(6) = 35, 35 = 35
B. x = –5; 7(–5) = 35, –35 = –35
C. x = 245; 7(35) = 245, 245 = 245
D. x = 5; 7(5) = 35, 35 = 35

Answers

Answer : option D

Find the solution of 7x = 35

To solve for x , we need to get x alone

so we divide by 7 on both sides

[tex]\frac{7x}{7} =\frac{35}{7}[/tex]

So x= 5

To verify the solution we plug in 5 for x in the given equation 7x= 35

x=5

We have, 7x= 35

7(5)= 35

35= 35

So verified

The solution of expression is,

D. x = 5; 7(5) = 35, 35 = 35

We have to give that,

An equation to simplify,

7x = 35

Now, Simplify the equation as,

7x = 35

Divide on both sides by 7,

7x/7 = 35/7

x = 5

Hence, The solution is, x = 5

And verify it as,

7x = 35

Put x= 5;

7 (5) = 35

7 × 5 = 35

35 = 35

Therefore, The solution is, x = 5

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2 x + y equals negative 9

Answers

Answer:

The given equation which is in two variable is

 ⇒2 x + y =9

As we know that to get a unique solution you need two intersecting lines.

But here only one line is given.

On a single line there lie infinite number of points.

So, for different values of x we get different values of y or different values of y we get different values of x.

So , we can write the above equation as

either ⇒y=9-2 x Or x=9-2 y

I have drawn graph for you.

Thus , there are infinite number of solution of this equation. Like (0,9),(1,7),(2,5),(-2,13),(-1,11),(-3,15)......




70%, 2/3, 0.62, 13/20, 0.6 smallest too largest

Answers

70% = 0.7

3/4 = 0.75

0.6 = 0.6

2/3 = 0.667

In order from smallest to greatest:

0.6, 0.667, 0.7, 0.75 =

0.6, 2/3, 70%, 3/4

Therefore the smallest is 0.6

Daniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinnerDaniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinner

Answers

Daniel's friend took .75 pounds of rice home

Daniel had 2.75 pounds of rice, and 1.25 pounds were eaten during the dinner. The remainder, 1.5 pounds, was divided, and his friend took home 0.75 pounds of the Spanish fried rice.

The question asks us to calculate the amount of Spanish fried rice left after a family dinner and how much was taken by Daniel's friend. To find out the remaining weight of rice after the meal, we subtract the amount of rice eaten from the original weight. Then, to find how much rice Daniel's friend took home, we divide the remaining rice by two.

Daniel started with 2.75 pounds of rice.His family ate 1.25 pounds of rice during the meal.To find the amount of rice left, we subtract 1.25 from 2.75 which gives us 1.5 pounds.Daniel's friend took half of the remaining rice, so we divide 1.5 by 2, which results in 0.75 pounds.

Therefore, Daniel's friend took home 0.75 pounds of the Spanish fried rice.

How many zeros will the product of 700 and 300 have?

Answers

The answer would be 4.

700 x 300 = 210,000

First multiply 700 and 300

700 x 300= 210000

Now count the zeros in the number.

So the product of 700 and 300 have 4 zeroes.

Another way to do this is just count the zeroes under 700 and 300.

When you multiply any two numbers that have zeroes the zeroes will practically add together.

For example. 10 x 10 =100, they had one zero and the total has 2 zeroes.

Or 30 x 40=1200 they had one zero and the total has 2 zeroes.


Find the equation of a line passing through the points (2,1) and (4,7).

Answers

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (2, 1) and (4, 7). Substitute:

[tex]m=\dfrac{7-1}{4-2}=\dfrac{6}{2}=3[/tex]

[tex]\boxed{y-1=3(x-2)}[/tex]      point-slope form

[tex]\boxed{y=3x-5}[/tex]      slope-intercept form

[tex]\boxed{3x-y=5}[/tex]      standard form

Which best describes the roots of the function h(x) = x3 – 4x2 – 3x + 18? no real number solutions 1 real number solution 2 real number solutions 3 real number solutions

Answers

Answer:

C on Edge

2 real number solutions

Step-by-step explanation:

the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.

The function h(x) = x³ – 4x² – 3x + 18 is a polynomial function of degree 3. To find the number of real solutions, we can analyze its graph or use the fundamental theorem of algebra.

The fundamental theorem of algebra states that a polynomial of degree n has exactly n complex roots. In this case, since it's a degree 3 polynomial, it can have at most 3 real roots, with the possibility of having some as complex solutions.

Therefore, the correct answer is that the function h(x) = x³ – 4x² – 3x + 18 has 1 real number solution.

Solve for Y. 9/4y-12=1/4y-4

Answers

I believe y equals 4.

9/4y - 12. = 1/4y - 4
+ 12. +12
9/4y. = 1/4y + 8
- 1/4y. - 1/4y

8/4y. = 8
2y. = 8
2. 2
Y = 4

[tex]y=4[/tex]

Equations:A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.Finding the values of the variables that result in equality is the first step in solving an equation with variables.Solution -

Given - [tex]\frac{9}{4y} -12=\frac{1}{4y} -4[/tex]

To find - [tex]y=?[/tex]

Since,

[tex]\frac{9}{4y} -12=\frac{1}{4y} -4\\\frac{9}{4y} =\frac{1}{4y} +8\\\frac{8}{4y} =8\\2y=8\\y=\frac{8}{2} \\y=4[/tex]

Therefore, [tex]y=4[/tex].

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What is the next number in the arithmetic sequence below? –32, –20, –8, 4, ___, ...

A. 12
B. 15
C. 16
D. 18

Answers

C. 16 is the answer.

Your answer is C hope this helps

the coordinates of point T are (0,4). the midpoint of ST is (7,-5). find the coordinates of point S

Answers

The formula of a midpoint:

[tex]M_{ST}\left(\dfrac{x_S+x_T}{2},\ \dfrac{y_S+y_T}{2}\right)[/tex]

We have:

[tex]T(0,\ 4)\to x_T+0,\ y_T=4\\M(7,\ -5)\to x_M=7,\ y_M=-5[/tex]

Substitute:

[tex]\dfrac{x_S+0}{2}=7\qquad|\cdot2\\\\x_S=14\\\\\dfrac{y_S+4}{2}=-5\qquad|\cdot2\\\\y_S+4=-10\qquad|-4\\\\y_S=-14[/tex]

Answer: S(14, -14).

x=18
x=22.5
x=30
x=54

Answers

Since (x+90) and 4x are vertical angles, and vertical angles are congruent, you can set them equal to each other.

x+90=4x

90=3x

x=30

Answer:

The value of [tex]x[/tex] is 30°

Step-by-step explanation:

Observe that (x + 90)° and 4x° are verticle angles.

By definition, those angles are equal, taht is

[tex]x+90=4x[/tex]

Then, we solve for [tex]x[/tex]

[tex]90=4x-x\\3x=90\\x=\frac{90}{3}\\ x=30\°[/tex]

Therefore, the value of [tex]x[/tex] is 30°. The third choice is correct.

consider 7 x 10 to the 3rd power write a pattern to find the value of the expression

Answers

Answer:

7 x 10^3

Step-by-step explanation:

7 x 10 x 10 x 10


Final answer:

To find the value of the expression 7 x 10^3, multiply 7 by 10 raised to the power of 3 to get 7,000.

Explanation:

To find the value of the expression 7 x 103, you need to multiply 7 by 10 raised to the power of 3. When you raise a number to the power of 3, you multiply it by itself three times. In this case, you need to multiply 10 by itself three times, which gives you 1000. So, the value of 7 x 103 is 7,000.

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i will give Brainiest
The graph of the function f(x) = –(x + 3)(x – 1) is shown below. What is true about the domain and range of the function?

A.The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.

B.The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.

C.The domain is all real numbers, and the range is all real numbers less than or equal to 4.

D.The domain is all real numbers less than or equal to 4, and the range is all real numbers

Answers

The domain is all real numbers

The range is y<= 4

Choice C

Answer:

The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

Step-by-step explanation:

The function is given to be :

f(x) = -(x + 3)(x - 1)

Domain : It is defined as a set of all points for which the function is real and defined.

Now, The given function f(x) is a polynomial function and is real and defined for all the real numbers. So, The domain of the given function f(x) is given by :

Domain : All real numbers

Range : It is defined as a set of all values of dependent variable for which the function is defined.

Now, To find range of the given function :

As seen from the graph, the maximum value of the function is at (-1,4)

So, The range consists of all the values less than or equal to 4

⇒ Range : All real numbers less than or equal to 4

Thus, The correct option is C. The domain is all real numbers, and the range is all real numbers less than or equal to 4

Find three consecutive even integers such that the sum of twice the smallest and three times the largest is 42

Answers

Answer:

6,8,10

Step-by-step explanation:

Two consecutive even integers would have difference of 2

Hence we can assume the three consecutive integers to be of the form

a-2, a and a+2

Smallest number = a-2 and

Largest number = a+2

Twice the smallest number + 3 times largest number =42 (given)

2(a-2)+3(a+2) = 42

2a-4+3a+6 =42

5a +2 =42

Subtract 2 and then divide by 5

5a = 40 and a = 8

Hence the three numbers are 6,8 and 10

what is 73×28 in multiply with regrouping

Answers

First, u multiply 8x3. Only the 4 can go in the ones place so put the four beneath the line and put the 2 over the 7.
Multiply 8x7 and add 2.
Move to the tens place, do 2x3 then 2x7.
Add the products and put the comma. Then ur done

You are making a scale model of the solar system. The radius of Earth is 6378 kilometers. The radius of the Sun is 695,500 kilometers. Is it reasonable to choose a baseball as a model of Earth? Explain your reasoning.

It_____ reasonable to use a baseball as a model for Earth because the model for the Sun would be about the size of ______.

Answers

Express the radius of the Sun as a proportion to radius of Earth:

695500/6378 = 109.04...

Now if a baseball would represent Earth, the model for Sun would have to be about 110 times larger than a baseball. A baseball is about 3" in diameter, so the model for Sun would have to be about 330" (or 27 feet) in diameter.

The answer should be no it is not reasonable to use baseball as a model for the Earth because the Sun would need to be about the size of a hot air balloon!

The fair market rental for Bloomington is $747 and for Kokomo is $654. Find the relative change from Bloomington to Kokomo

Answers

I think it's 1401 hope this helps :)

Answer: The relative change from Bloomington to Kokomo  is $ 93

Step-by-step explanation:

Since, the price of Bloomington = $ 747

And, the price of Kokomo = $ 654,

Thus, the relative changes in the price of Bloomington to Kokomo

= The price of Bloomington - the price of Kokomo

= 747 - 654

= 93

Hence the required relative change from Bloomington to Kokomo is $ 93.

How many ounces of pure nickel must be added to 150 ounces of alloy 70% pure to make an alloy which is 85% pure?

Answers

Answer:

150 oz.

Step-by-step explanation:

There are already 150 ounces of alloy of nickel.

Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz

Now available is

Nickel       Other metals

105                  45

Let x oz of pure nickel is added.

Then new alloy will have 105+x oz nickel in total of 150+x oz.

Percentage pure = [tex]\frac{105+x}{150+x} =85%[/tex]

Simplify to get

[tex]\frac{105+x}{150+x} =\frac{85}{100} \\\\Cross multiply:\\85(150+x) =100(105+x)\\12750+85x =10500+100x\\100x-85x = 12750-10500\\15x = 2250\\x = 150[/tex]

Hence answer is 150 oz should be added.

You are swimming each 25 yard length of a swimming pool 3 seconds faster than your personal best. What integer represents your change in time of your personal best after 200 yards?

Answers

Answer: He takes 24 seconds which represents change in time of his personal best after 200 yards .

Step-by-step explanation:

Since we have given that

Distance he covered by swimming = 25 yards

Time taken by him = 3 seconds

[tex]\text{Speed of his swimming} =\frac{Distance}{Time}\\\\ \text{Speed of his swimming} =\frac{25}{3}[/tex]

Now, if he covers 200 yards , the change of time will be

[tex]\text{Time taken}=\frac{Distance}{Speed}\\\\\text{Time taken}=\frac{200}{\frac{25}{3}}\\\\\text{Time taken}=\frac{200\times 3}{25}\\\\\text{Time taken}=8\times 3\\\\\text{Time taken}=24 seconds[/tex]

Hence, he takes 24 seconds which represents change in time of his personal best after 200 yards .


Dalia is a botanist. She wants to model the growth rate of the patch of ground that is covered by a certain plant as time passes. What would be an appropriate unit for Dalia's purpose?

Answers

Answer:

The appropriate measure is cm/day.

Step-by-step explanation:

The best unit to measure the height of a plant = cm.

The best measure for time is day.

Rate refers to the ratio between units. Mostly, the difference in some unit when time passes.

She can measure the height of the plant in each day.

Hence, the appropriate unit for Dalla is cm per day.

Answer:

We have to find the growth rate of certain Patch of ground, which is covered by certain plant.

As, the branches of Herb patch plant can't grow more than 150 cm.

The difference in height can't be calculated on daily basis.It should be calculated either in a duration of three to four days ,or in a week.

Now, if you look branches of plant it occupies some space,that is area it's unit should be either Square cm or Square meter.

So, the appropriate unit to measure the growth rate will be

[tex]1.\frac{cm^2}{\text{3 or 4 day}}\\\\ 2.\frac{cm^2}{\text{1 Week}}[/tex]

or

[tex]1.\frac{m^2}{\text{3 or 4 day}}\\\\ 2.\frac{m^2}{\text{1 Week}}[/tex]

Hi I was wondering which one is the correct answer

Answers

Answer: A) yes the graph passes the vertical line test

What is the vertical line test? It's a test to see if we have a function. Here's how the test works: if you can draw a single line that passes through more than one point on the function curve, then the graph fails the vertical line test. If it fails the test, then the relation is not a function.

In this case, it is impossible to draw a single line that goes through more than one point on the orange curve. So this curve passes the test. Therefore, the curve represents a function. Any input (x) leads to exactly one output (y).

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