Find the inequality represented by the graph.

Find The Inequality Represented By The Graph.

Answers

Answer 1

Answer:

[tex]x \geqslant \frac{y + 4}{3} [/tex]

Explanation;

Associated line with this equation is:

y=mx+c

when,

X=0

y=-4

so, c=-4

X=1

y=-1

[tex] - 1 = m- 4 \\ - m = - 4 + 1 \\ - m = - 3 \\ m =3 \\ [/tex]

[tex]y = 3x - 4 \\ or \: y + 4 = 3x \\ or \: \frac{y + 4}{3} = x[/tex]

Inequality representated by graph:

[tex]x \geqslant \frac{y + 4}{3} [/tex]

Hope this helps...

Good luck on your assignment...


Related Questions

What is the volume of this aquarium?

Answers

Answer:

9,000 inches^3

Step-by-step explanation:

The first part is 20 x 20 x 20, which equals 8,000

The second part is 10 x 10 x 10, which is 1,000

1,000 + 8,000 = 9,000

Please answer this correctly

Answers

Answer:

3/20s

Step-by-step explanation:

A man bought a pair of jeans for $23.00 a shirt for $14.00 and two ties for $7.98 each. What was the total cost of his clothing ?

Answers

Answer:

$52.96

Step-by-step explanation:

To find the total cost of his clothing, add up the prices of everything he bought.

Jeans: $23.00

Shirt: $14

Ties: 2 ties for $7.98 each.

Each tie costs $7.98, and the man bought two ties. Therefore, multiply 2 and $7.98

2*$7.98 = $15.96

Add all the prices together.

jeans + shirt + ties

$23 + $14 + $15.96

$37 + $15.96

$52.96

The total cost of his clothing is $52.96

Answer:

total cost=52.96

Step-by-step explanation:

Things he bought:

jeans for $23.00

a shirt for $14.00

two ties for $7.98 each

the total const would be the sum of all his clothes

which is

jeans for $23.00

+shirt for $14.00

+one tie for $7.98

+one tie for $7.98

_______________

total cost=52.96

HOPE IT HELPS :0

PLEASE MARK IT THE BRAINLIEST!

The expression 3 × 7 – 4 × 8 + 2 is equivalent to which of the following?

Answers

Answer:

-9

Step-by-step explanation:

3 time 7

minus

4 times 8

21 - 32

-11+2= -9

A normally distributed data set with a mean of 35 and a standard deviation of 5 is represented by the normal curve. What is the z–score corresponding to 45?

Answers

Answer:

The z–score corresponding to 45 is z=2.

Step-by-step explanation:

We have a random variable X represented by a normal distribution, with mean 35 and standard deviation 5.

The z-score represents the value X relative to the standard normal distribution. This allows us to calculate probabilities for any given normal distribution with the same table.

The z-score for X=45 can be calculated as:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{45-35}{5}=\dfrac{10}{5}=2[/tex]

The z–score corresponding to 45 is z=2.

SNOG PLEASE HELP! (x-1)(y+8)

Answers

Answer:

xy + 8x - y - 8

Step-by-step explanation:

We can use the FOIL method to expand these two binomials. FOIL stands for First, Outer, Inner, Last.

F: The First means that we multiply the first terms of each binomial together. In this case, that would be x · y = xy.

O: The Outer means that we multiply the outer terms, or the first term of the first binomial and the second term of the last binomial, together. In this case, that would be x · 8 = 8x.

I: The Inner means that we multiply the inner terms, or the second term of the first binomial and the first term of the second binomial, together. In this case, that would be (-1) · y = -y.

L: The Last means that we multiply the last terms of each binomial together. In this case, that would be (-1) · 8 = -8.

Adding all of these together, we get xy + 8x - y - 8 as our final answer.

Hope this helps!

Answer:

[tex]xy+8x-y-8[/tex]

Step-by-step explanation:

=> (x-1)(y+8)

Using FOIL

=> [tex]xy+8x-y-8[/tex]

Consider the following sample information from Population A and Population B. Sample A Sample B n 24 16 s2 32 38 We want to test the hypothesis that the population variances are equal. The test statistic for this problem equals a. .84. b. .67. c. 1.50. d. 1.19.

Answers

Answer:

Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:

[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]

And the best option would be:

d. 1.19.

Step-by-step explanation:

Data given and notation  

[tex]n_1 = 24 [/tex] represent the sampe size 1

[tex]n_2 =16[/tex] represent the sample size 2

[tex]s^2_1 = 32[/tex] represent the sample variance for 1

[tex]s^2_2 = 38[/tex] represent the sample variance for 2

The statistic for this case is given by:

[tex]F=\frac{s^2_1}{s^2_2}[/tex]

Hypothesis to verify

We want to test if the true deviations are equal, so the system of hypothesis are:

H0: [tex] \sigma^2_1 = \sigma^2_2[/tex]

H1: [tex] \sigma^2_1 \neq \sigma^2_2[/tex]

Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:

[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]

And the best option would be:

d. 1.19.

The (T) total number of dollars in (1) five-dollar bills and (t) ten-dollar bills is:

Multiple choice

T=5+f+10+t

Answers

Answer:

Step-by-step explanation:

The following lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Has Lung Disease/smoker 0.1, No Lung Disease/Smoker 0.17, Lung Disease/Nonsmoker 0.03, No Lung Disease/Nonsmoker 0.7. One 60-to-65 year old man is selected at random. What is the probability of the following event: He has lung disease given that he does not smoke?

Answers

Answer:

4.11% probability that he has lung disease given that he does not smoke

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Does not smoke

Event B: Lung disease

Lung Disease/Nonsmoker 0.03

This means that [tex]P(A \cap B) = 0.03[/tex]

Lung Disease/Nonsmoker 0.03

No Lung Disease/Nonsmoker 0.7

This means that [tex]P(A) = 0.03 + 0.7 = 0.73[/tex]

What is the probability of the following event: He has lung disease given that he does not smoke?

[tex]P(B|A) = \frac{0.03}{0.73} = 0.0411[/tex]

4.11% probability that he has lung disease given that he does not smoke

Probabilities are used to determine the chances of an event.

The  probability that he has lung disease given that he does not smoke is 0.231

The required probability is calculated as:

[tex]\mathbf{P = \frac{P(Lung\ Disease\ and\ Non\ Smoker)}{P(Lung\ Disease)}}[/tex]

From the question, we have:

[tex]\mathbf{P(Lung\ Disease\ and\ Non\ Smoker) = 0.03}[/tex]

[tex]\mathbf{P(Lung\ Disease) = P(Has Lung Disease/smoker) + P(Lung Disease/Nonsmoker)}[/tex]

[tex]\mathbf{P(Lung\ Disease) = 0.1 + 0.03}[/tex]

[tex]\mathbf{P(Lung\ Disease) = 0.13}[/tex]

So, we have:

[tex]\mathbf{P = \frac{P(Lung\ Disease\ and\ Non\ Smoker)}{P(Lung\ Disease)}}[/tex]

[tex]\mathbf{P = \frac{0.03}{0.13}}[/tex]

[tex]\mathbf{P = 0.231}[/tex]

Hence, the  probability that he has lung disease given that he does not smoke is 0.231

Read more about probabilities at:

https://brainly.com/question/11234923

The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection

Answers

Answer:

[tex]\frac{1}{13}[/tex]

Step-by-step explanation:

The probability P(A) that an event A will occur is given by;

P(A) = [tex]\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}[/tex]

From the question,

=>The event A is selecting a king the second time from a 52-card deck.

=> In the card deck, there are 4 king cards. After the first selection which was a king, the king was returned. This makes the number of king cards return back to 4. Therefore,

number-of-possible-outcomes-of-event-A = 4

=> Since there are 52 cards in total,

total-number-of-sample-space = 52

Substitute these values into equation above;

P(Selecting a king the second time) = [tex]\frac{4}{52}[/tex] = [tex]\frac{1}{13}[/tex]

Weite the number names
31,19,624
4,06,85,012
6,500,000
25,430,756

Answers

Answer:

Thirty-one million, six hundred and twenty-four

Four billion, six million, eighty-five thousand, and twelve

six million five hundred thousad

twenty-five million, four hundred and thirty thousand and seven hundred and fifty-six

Step-by-step explanation:

11.Which word or words best complete the sentence? Two lines that lie in parallel planes _____ intersect. Sometimes Always Never

Answers

Answer:

never intersect

Step-by-step explanation

parallel lines do not intersect and neither do parallel planes

They will “Never Intersect”

if 2 X degree is the exterior angle of triangle and x degree and 45 degree are opposite interior angle find the value of x degree​

Answers

Answer:

x = 45 degrees

Step-by-step explanation:

The measure of exterior angles is equal to the sum of non-adjacent interior angles

=> 2x = x+45

=> 2x-x = 45

=> x = 45 degrees

Answer:

45 degrees.

Step-by-step explanation:

The exterior angle = sum of the 2 opposite interior angles.

2x =  x + 45

2x - x = 45

x = 45.

Answer quick! EASY! WILL GIVE YALL BRAINLIESTTT

Answers

Answer:

7

Step-by-step explanation:

:)

I NEED HELP PLEASE, THANKS! :)
Find the angle θ between u = <7, –2> and v = <–1, 2>.
47.5°
42.5°
132.5°
137.5°

Answers

Answer:

Step-by-step explanation:

Cos θ = u*v    

             IuI *IvI

u * v = 7*(-1) + (-2)*2

       = -7 - 4

      = -11

IuI = [tex]\sqrt{7^{2}+(-2)^{2}}\\[/tex]

    = [tex]\sqrt{49+4}\\\\[/tex]

    = [tex]\sqrt{53}[/tex]

I vI = [tex]\sqrt{(-1)^{2}+2^{2}}\\[/tex]

     = [tex]\sqrt{1+4}\\\\[/tex]

      = [tex]\sqrt{5}\\[/tex]

Cos θ = [tex]\frac{-11}{\sqrt{53}*\sqrt{5} } \\\\[/tex]

          = [tex]\frac{-11}{16.28}\\\\[/tex]

   Cos θ = -0.68

θ = 132.5°

Which are not changed after a rotation? Check all that apply. angle measures orientation size shape position of center of rotation

Answers

Answer:

1 3 4 5

Step-by-step explanation:

The rotation does not change the angle measure, the side lengths and the shape of the shape that is being rotated.

What is an angle?

An angle measure the size, the shape, and the position of center of rotation do not change after rotation.

Which are not changed after rotation?

If one thing is rotated then it will not change the angle measures, the side lengths and shape of the body. The rotation does not change the center of object.

Learn more about angles at https://brainly.com/question/25716982

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Multiply: –c2(3c – 2)

Answers

Answer:

3c^3+2c^2

Step-by-step explanation:

Answer:

3c^3 +2c^2

Step-by-step explanation:

–c^2(3c – 2)

Distribute

=c^2 * 3c - c^2 * -2

3c^3 +2c^2

Find the lateral surface area, base area of a cylinder with radius 5 cm and height 16 cm

Answers

Answer:

      Lateral surface area is

502.65cm²

      Base area is

=

πr^2

A 12 sided die is rolled the set of equally likely outcomes is 123 456-789-10 11 and 12 find the probability of rolling a number greater than three

Answers

Answer:

6

Step-by-step explanation:

nerd physics

Factor: 3d + 6d + 3.

Answers

Hey there! :)

Answer:

3(d + 1)²

Step-by-step explanation:

Given 3d² + 6d + 3:

Begin by factoring out '3' from each term:

3(d² + 2d + 1)

Factor terms inside of the parenthesis:

3(d + 1)(d + 1) or 3(d + 1)².

11. If 4 < x < 14, what is the range for -x - 4?

Answers

Answer:

-18 < -x-4 < -8

Step-by-step explanation:

We start with the initial range as:

4 < x < 14

we multiplicate the inequation by -1, as:

-4 > -x > -14

if we multiply by a negative number, we need to change the symbols < to >.

Then, we sum the number -4, as:

-4-4> -x-4 > -14-4

-8 > -x-4 > -18

Finally, the range for -x-4 is:

-18 < -x-4 < -8

The sports bar owner runs a regression to test whether there is a relationship between Red Sox away games and daily revenue. Which of the following statements about the regression output is true?A. The average daily revenue for days when the Red Sox do not play away is $1,768.32.B. The average daily revenue for days when the Red Sox play away is $1,768.32.C. The average daily revenue for days when the Red Sox play away is $2,264.57.D. The average daily revenue for days when the Red Sox do not play away is $1,272.07.E. On average, the bar’s revenue is $496.25 higher on days when the Red Sox play away than on days when they do not.
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.4746
R Square 0.2252
Adusted R square 0.2091
Standard Error 466.32
Observations 50
ANOVA
Significance F MS df 0.0005 13.95 3.03E 06 3.03E+06 Regression 1.04E+07 2.17E+05 48 Residual 135E+07 49 Total Lower 95% Upper 95% tStot Standard Error P-vatue Coefficients 1968.21 17.79 1,568.42 99 42 0.0000 1768.32 Intercept Red Sox away game 763.38 00005 3.74 229.13 132.85 (1-yes, 0-no) 496.25 The average daily revenue for days when the Red Sox do not play away is $1,768.32

Answers

Answer:

Options A, C and D are true.

- The average daily revenue for days when the Red Sox do not play away is $1,768.32.

- The average daily revenue for days when the Red Sox play away is $2,264.57.

- On average, the bar’s revenue is $496.25 higher on days when the Red Sox play away than on days when they do not.

Step-by-step explanation:

The complete Question is presented in the attached image to this solution.

Analyzing the options at a time

A) The average daily revenue for days when the Red Sox do not play away is $1,768.32.

This option is true as 1768.32 is the intercept which is the average daily revenue when the Red Sox=0, that is, 0=no, when red sox do not play away.

B) The average daily revenue for days when the Red Sox play away is $1,768.32.

This is false because when the Red Sox play away, the value is 1 and the average revenue = 1768.32 + 496.25 = $2,264.57

C) The average daily revenue for days when the Red Sox play away is $2,264.57.

This is true. I just gave the explanation under option B.

D) The average daily revenue for days when the Red Sox do not play away is $1,272.07.

This is false. The explanation is under option A.

E) On average, the bar’s revenue is $496.25 higher on days when the Red Sox play away than on days when they do not.

This is true. It is evident from the table that the 0 and 1 coefficient is 496.25. This expresses the difference in average daily revenue when the Red Sox games are played away and when they are not.

Hope this Helps!!!

Misty surgery lasted 2 1/4 hours. Convert the time to seconds

Answers

Answer:   8100 seconds

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

Work Shown:

1 hour = 60 minutes

2 hours = 120 minutes (multiply both sides by 2)

1/4 hour = 15 minutes (divide both sides of the first equation by 4)

2 & 1/4 hours = 2 hours + 1/4 hour

2 & 1/4 hours = 120 minutes + 15 minutes

2 & 1/4 hours = 135 minutes

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

1 minute = 60 seconds

135 minutes = 8100 seconds (multiply both sides by 135)

2 & 1/4 hours = 8100 seconds

find the Pythagorean triplets of 5​

Answers

Answer:

The Pythagorean Triplet that has 5 is 3-4-5

Step-by-step explanation:

We can prove this using Pythagorean Theorem: a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

which of the following statements is false?

Answers

Answer:

A.

Step-by-step explanation:

It's the first one. The angles are supplementary not complementary.

Answer:

I would have to say A

Step-by-step explanation:

Find the pattern and fill in the missing numbers: 1, 1, 2, 3, 5, 8, __, __, 34, 55

Answers

Answer:

13, 21

Step-by-step explanation:

Fibonacci sequence-

Each number is added to the number before it.

1+1=2

2+1=3

3+2=5

5+3=8

Answer:

The missing numbers are 13, and 21.

The pattern given is the Fibonacci Sequence, where each number is the sum of the two numbers before it, starting with 0 and 1. (i.e. 5 is 2+3)

(06.01 MC) What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ (5 points) Select one: a. 7 b. 9 c. 21

Answers

Answer:

b. 9

Just use PEMDAS

9. A line passes through (2, –1) and (8, 4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers.

Answers

Answer:

Step-by-step explanation:

(4+1)/(8-2)= 5/6

y + 1 = 5/6(x - 2)

y + 1 = 5/6x - 5/3

y + 3/3 = 5/6x - 5/3

y = 5/6x - 8/3

6(y = 5/6x - 8/3)

6y = 5x - 16

-5x + 6y = -16

We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measured in feet, after t seconds is h ( t ) = − 16 t 2 + 128 t + 320 . What is the highest altitude that the object reaches?

Answers

Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be [tex]h(t) = -16\cdot t^{2} + 128\cdot t + 320[/tex], the first and second derivatives are, respectively:

First Derivative

[tex]h'(t) = -32\cdot t +128[/tex]

Second Derivative

[tex]h''(t) = -32[/tex]

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

[tex]-32\cdot t +128 = 0[/tex]

[tex]t = \frac{128}{32}\,s[/tex]

[tex]t = 4\,s[/tex] (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

[tex]h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320[/tex]

[tex]h(4\,s) = 576\,ft[/tex]

The highest altitude that the object reaches is 576 feet.

Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 410,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $34,000; second year, $76,000; third year, $80,000; fourth year, $100,000. Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 1st Year 2nd Year 3rd Year 4th Year Preferred stock (dividends per share) $ 0.57 $ 0.63 $ 0.6 $ 0.6 Common stock (dividends per share) 0.00 0.09

Answers

Answer and Step-by-step explanation:

The computation of dividends per share on each class of stock for each of the four years is shown below:-

Particulars                1st year     2nd-year     3rd-year     4th year

Preferred dividend

paid a                         $34,000   $38,000    $36,000    $36,000

Number of preferred

stock b                       60,000     60,000       60,000       60,000

Dividend per share

(a ÷ b)                         $0.57       $0.63          $0.60             $0.60

Dividend paid to common

stockholders c               $0             $38,000    $44,000     $64,000

Number of common stock

shares d                       410,000     410,000     410,000     410,000

Dividend per share

on common stock        $0             $0.093        $0.11          $0.16

(c ÷ d)

Working note:

Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend

= 60,000 × $20 × 3%

= $36,000

Preferred stock

For 1st year

= $34,000

For 2nd-year

Dividend in year 2+ Dividend balance in year 1

= $36,000 + ($36,000 - $34,000)

= $38,000

For 3rd-year

= $36,000

For 4th year

= $36,000

Common stock dividend

Particulars                      1 year        2 year       3 year       4 year

Total dividend paid       $34,000  $76,000   $80,000     $100,000

Less:

Preferred stock

dividend                      $34,000      $38,000  $36,000     $36,000

Dividend paid to common

stockholders                 $0             $38,000    $44,000     $64,000

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Three rocks of equal mass are thrown with identical speeds from the top of the same building (identical height). Rock X is thrown vertically downward, rock Y is thrown vertically upward, and rock Z is thrown horizontally.Required:Which rock has the greatest speed just before it hits the ground? Assume air resistance is negligible. Strange Manufacturing Company is purchasing a production facility at a cost of $21 million. The firm expects the project to generate annual cash flows of $7 million over the next five years. Its cost of capital is 18 percent. What is the net present value of this project A factory can work its employees no more than 5 days a week, and no less than 2 days perweek. Create an inequality to represent the range of days an employee can work. Solve theinequality to determine the range in hours. Show all of your work. Determine the value of in, in each of the following cases, where n represents all positive integer values. Find the slope and y-intercept of the line. 18x + 4y = 112 A)-9/2; 1/28 B)-2/9 ; 28 C)18; 112 D)-9/2; 28 which of the following tells the computer wha to dooperating systemthe ROMthe motherboardthe monitor 1 Analise as afirmaes abaixo e depois assinale a alternativa que indica quais delas so verdadeiras: I A tira ou tirinha um gnero textual que se configura como segmento ou fragmento de HQs, geralmente com trs ou quatro quadrinhos. II As tirinhas articulam a linguagem no-verbal (ilustraes) com a linguagem verbal (quase sempre inserida em bales de fala). III As tirinhas no objetivam causar humor, mas sim a crtica social e poltica. Marque a alternativa correta: * 1 ponto I e II esto corretas. I e III esto corretas. II e III esto corretas. I, II e III esto corretas. Mrs. E buys a pair of jeans and receives a 35% discount. If the original price of the jeans was $55, how much does Mrs. E pay before taxes? You start at (2, 7). You move up 3 units. Where do you end? x = ? ? ? ? ? ? ? ? ? The equation of a circle is given below. ( x + 7 ) 2 + ( y + 8 ) 2 = 4 9 (x+7) 2 +(y+8) 2 = 9 4 left parenthesis, x, plus, 7, right parenthesis, squared, plus, left parenthesis, y, plus, 8, right parenthesis, squared, equals, start fraction, 4, divided by, 9, end fraction What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places. units What main principle did the two organizations formed in 1944the World Bank and the International Monetary Fundhave in common? Which describes any compound that has at least one element from group 17? Halide;noble gas; metalliod; transition metal PLEASE HELP! 10 POINTS!The graphs of f(x) and g(x) are shown below:What are the solutions to the equation f(x) = g(x)?Ox= -3,4x = -4.2.5X = -0.8, 2.5X = 8.-8 100. mLmL of 0.200 MMHClHCl is titrated with 0.250 MMNaOHNaOH. Part A What is the pH of the solution at the equivalence point? Express the pH numerically. Wich car would go faster an automatic or stick shift based on horse power or speed Why is radioacine dating important when approximating the age of Earth?Scientists can identiy offerent te forms using index fossil records.Scientists can examine how temperature changes within Earth's interior.Scientists can determine the order of when rocks formed on Earth.Scientists can analyze changes in chemical concentration of atmospheric gases. How did the Tet Offensive damage American morale? A It caused heavy casualties among American and South Vietnamese forces. B It led to a popular uprising against the government of South Vietnam. C It let the Vietcong succeed in winning key victories against American troops. D It demonstrated that the communists had not lost the will or ability to fight. (Gradpoint) 745Find x.x=V(14)707/2 What is the equivalent temperature in kelvin if you have a metal at 50F?