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

36% of £240 add working out pleasee

Answers

Answer:

36% of 240

=36/100*240

=6640/100

=86.4

Step-by-step explanation:

Answer:

£86.40

Step-by-step explanation:

36% = [tex]\frac{36}{100}[/tex] = 0.36 , then

0.36 × £240 = £86.40

Which equation is the universe of y=9x^2-4

Answers

Step-by-step explanation:

keep in mind that, to get the inverse expression of any relation, we start off by doing a quick switcheroo on the variables, and then solve for "y", so let's do so,

Answer:

[tex]y = \frac{\sqrt{x+4} }{3}, \ y = -\frac{\sqrt{x+4} }{3}[/tex]

Step-by-step explanation:

To  find inverse we replace  and y first.

[tex]y = 9x^2 - 4 \ becomes \ x = 9y^2 -4[/tex]

[tex]Then \ solve \ for \ y\\\\9y^2 = x+ 4\\\\y^2 = \frac{x+4}{9}\\\\y = \pm \sqrt{\frac{x+4}{9}} \\\\y = \pm {\frac{\sqrt{x+4}}{3}[/tex]

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common difference 1/2,5/4, 2, 11/4..

Answers

Answer:

It is an Arithmetic sequence

Common difference = 3/4

Step-by-step explanation:

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible identify the common ratio or common difference 1/2,5/4, 2, 11/4..

We are given the sequence:

1/2, 5/4, 2, 11/4.

We are to determine if this is an Arithmetic or Geometric sequence

Hence:

To determine if this is an Arithmetic sequence, we find the Common difference

Common difference = Second term - First term

= 5/4 - 1/2

Lowest Common Denominator = 4

= 5 - 2/4 = 3/4

or Third term - Second term

2 - 5/4

Lowest Common Denominator = 4

2/1 - 5/4

8 - 5/4

= 3/4

We have the same common difference.

To determine if this is an Geometric sequence, we find the Common ratio

Common ratio = Second term / First term

= 5/4 ÷ 1/2

5/4 × 2/1

= 5/2 = 2 1/2

or Third term /Second term

2 ÷ 5/4

2 × 4/5

= 6/5

= 1 1/5

It is not a geometric sequence

Therefore , the above sequence in the Question is an Arithmetic sequence.

Which of the relationships is not a function?

Answers

Answer:

the input is any number and the output is the number that is squared to equal that number

2- Guillermo envasa 355 ml de agua
fresca en cada botella. ¿Cuantas botellas
se necesitan para envasar 29,730,895 ml?

Answers

Answer:

83,749 bottles

Step-by-step explanation:

Each bottle contain = 355ml

Total water need to pack = 29,730,895 ml

So, we can calculate the number of bottles by using following formula,

Number of bottles required = Total water ÷ Each bottle contain

by putting the value, we get

Number of bottles required = 29,730,895 ÷ 355

= 83,749

Hence, total number of bottles required is 83,749.

Zeek then want to ride his bike to the old spaghetti factory. He wondering if he should bike 1 mile north, then 0.5 miles directly east, or if he should just go directly there to bike the shortest distance.

Answers

Answer:

He should travel directly

Step-by-step explanation:

Given

[tex]x = 0.5[/tex] --- East

[tex]y =1[/tex] --- North

If he goes through east north direction, the distance (d) traveled is:

[tex]d = x + y[/tex]

[tex]d = 0.5 + 1[/tex]

[tex]d = 1.5 mile[/tex]

If he travels directly, the distance (d) is:

[tex]d = \sqrt{x^2 + y^2}[/tex] ---- Pythagoras theorem

[tex]d = \sqrt{0.5^2 + 1^2}[/tex]

[tex]d = \sqrt{0.25 + 1}[/tex]

[tex]d = \sqrt{1.25}[/tex]

[tex]d = 1.12mile[/tex]

By comparison, he will travel the shortest distance if he travels directly because [tex]1.12 < 1.5[/tex]

Hence, he should travel directly

What is the perimeter of the following composite figure?



35.13 yd
21 yd
47.13 yd
42 yd

Answers

Answer:

42 yards

Step-by-step explanation:

you do; 12+12+9+9 (a+b+a+b is the key for rectangle) which would equal 42.

It is 42 yd hope that helps

If the board length of an average log is 8.25 and the price per board foot is 7.95. What is the value of the timber if there are 100 logs?

Answers

Answer:

6558.75

Step-by-step explanation:

total value of 100 logs = total value of an average log x 100 total value of an average log = length of an average log x price per board foot

8.25 x 7.95 = 65.5875

65.5875 x 100 = 6558.75

The amount of rona cases in Gotham city is 540 people for the first ½ of 2020. In July, a rona spike at the rate of 5.2 people for each day in the month hits. Additionally, the joker has infected all of Arkham Asylum’s 225 patients with the virus. What month will you hit 1,000 cases of rona in Gotham?

Answers

Answer:

Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday

Step-by-step explanation:

If you know that the hypotenuse of a 30-60-90 triangle is 124 cm, explain how you find the lengths of the other two sides.​

Answers

Answer:

Length of short side is 62 cm and length of long side is [tex]62\sqrt{3}[/tex] cm

Step-by-step explanation:

There's specific "rule" for 30-60-90 triangle

short leg will be x

long leg will be [tex]x\sqrt{3}[/tex]

hypotenuse will be 2x

So, when you know hypotenuse is 124 (2x)

To find short leg, you divide 124 by 2

short leg will be 62 (x)

To find long leg, you plug in the x (in this case it's 62)

long leg will be [tex]62\sqrt{3}[/tex]

A diver is currently at an elevation of -380 feet. Write an absolute value statement to express the diver's distance, in feet, from sea level. Then, interpret the result in this situation by explaining what this means for the diver.

Answers

Answer:

The absolute value function:

f(x) = |x|

is defined as:

f(x) = x              if x ≥ 0

f(x) = -x             if x < 0.

Then, knowing that the elevation of the diver is -380 ft

We can write the absolute value of the distance as:

|-380ft| = -(-380ft) = 380ft

This means that the diver is at a distance of 380 ft from sea level. (And because we know that the sign is negative, we can conclude that he is 380ft below sea level).

6. In a survey about young people's spending habits, 69 out of the 120 teenagers questioned said they get a regular weekly allowance. a. What percent of the teenagers questioned get a regular weekly allowance? Round your answer to the nearest percent. b. Out of the those who get a regular weekly allowance, 23 said that they also have a weekend job. What percent of the teenagers questioned who receive a regular weekly allowance do not have a weekend job? Round your answer to the nearest percent

answer b please​

Answers

Answer:

57.5 percent for first answer

Step-by-step explanation:

2nd answer 19.166666666667

rounded 58 percent and 19 percent

Answer:

67%

Step-by-step explanation:

(69-23)/69 = 67%

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)

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

Answer:

Y remains unchanged because y is still 7.

The answer is d the y intercept is the same but the x intercept is increasing

please answer fast
needed as soon as possible

Answers

Answer:

Option B

Step-by-step explanation:

Equation of the graph,

f(x) = x²

If the graph is translated 5 units to the right,

g(x) = f(x - 5)

Therefore, g(x) = (x - 5)²

If the function 'g' is translated 3 units up,

h(x) = g(x) + 3

Therefore, h(x) = (x - 5)² + 3

If the function 'h' is vertically compressed by a factor of [tex]\frac{2}{3}[/tex],

Then the new function will be,

k(x) = [tex]\frac{2}{3}(x-5)^2+3[/tex]

Option B will the correct option.

A una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan. Terminada la actividad, cada uno de los muchachos salió acompañado por una dama. Hugo salió con la amiga de Nancy. Pamela, que no simpatiza con Nancy, salió antes que Manuel.

Answers

Answer:

Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

Step-by-step explanation:

Dado que a una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan, y terminada la actividad, cada uno de los muchachos salió acompañado por una dama, y Hugo salió con la amiga de Nancy, mientras que Pamela, que no simpatiza con Nancy, salió antes que Manuel, para determinar con quién salió cada persona debemos realizar el siguiente razonamiento lógico:

Hugo = Amiga de Nancy (no es Pamela) = Susan

Pamela = Sale antes que Manuel (no sale con Hugo) = Coco

Nancy = Manuel

Por lo tanto, Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

Distributive property, I’ll mark brainliest if correct !!

Answers

Answer:

1.   20 - 2 x

3.  -7 x - 21

5.   5 - 15 x

7.    20 x - 50

9.   1 - 4 x

11.   18 x - 8

13.   24 x + 36

Step-by-step explanation:

[tex]2(x+30)=60[/tex]

Answers

Answer:
X = 0

Explanation:
You must start by distributing the 2 by multiplying it by what’s inside of the parentheses. After you distribute the 2 you should have 2X +60 = 60 now you must subtract 60 from the 60 on the opposite side of the equation giving you 2X=60-60.
After subtracting you should end with the value 2X = 0 and then divide 2 by 0 and you should get 0 so your equation is X = 0

Which of the options below is equal to 5,000? Select ALL that apply.
A. 1/10 of 50,000
B. 10 times as much as 50
C. 100 times as much as 50
D. 1/100 of 50,000
E. 10 times as much as 500
F. 1/10 of 500,000

Answers

OPTION A ,C AND E IS CORRECT

1/10 x 50,000 = 5,000

100 x 50 =5,000

10 x 500 = 5,000

What is the greatest common factor of 20, 12, and 36?

Answers

Answer:

The answer is 4

Step-by-step explanation:

One-sixth of a certain number and three-eights of the same number total 13. What is the number?​

Answers

Answer:

The number is 24

Step-by-step explanation:

1/6x + 3/8x = 13

4/24x + 9/24x =13

13/24x = 13

13x=312

x=24

A ladder that is 30 feet long needs to reach a 25 foot tall building. What angle is formed by the ladder and the ground if you place the ladder so it lies directly against the top of the building? Round your answer to the nearest degree.

Answers

Answer:

56°

Step-by-step explanation:

25^2 + b^2 = 30^2

625+b^2 = 900

b^2 = sq 275

b^2 =16.6

acos(cos⁻¹) (16.6/30).

For Triangle ABC, if AB = 14 mm, BC = 9 mm, and CA = 15 mm, what is the SMALLEST angle measure?

Answers

Answer:

9 mm

Step-by-step explanation:

The smallest leg usually has the smallest angle and the largest leg (the hypothese i.dk how to spell) usually has the largest angle

Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

19.3

Step-by-step explanation:

tan ? = opp./adj = 7/20

? = arctan 7/20 ≈ 19.3

The weight of water is 0.036 pounds times the volume of water in cubic inches. How many pounds of water would fit into a fish tank shaped like a rectangular prism that is 14 inches deep, 25 inches wide, and 38 inches long? Round your answer to the nearest tenth when you enter it.

Answers

Answer:

Step-by-step explanation:

The weight of water is 0.036 pounds times the volume of water in cubic inches.

Volume of the tank = Length × Width × Height

= 14 × 25 × 38

= 13300 cubic inches

V

You randomly choose a letter from the word ENGAGEMENT. Find the probability of
choosing either an N or an A.

Answers

Answer:

3:10

Step-by-step explanation:

there are 2 N's and 1 A

Answer:

3/10 or 3:10

Step-by-step explanation:

There are a total of 10 letters in the word ENGAGEMENT. The probability of choosing an N or and A is 3 because there are 2 N's and 1 A for a total of 3 possibilities out of the total number of letters which is 10.

Which fraction is the closest estimate to √10
1. 2 1/2
2. 3 1/5
3. 3
4. ⅒

Answers

Answer:

Step-by-step explanation:

(√10)²=10

1. (2 1/2)²=(5/2)²=25/4=6.25

2. (3 1/5)²=(16/5)²=256/25=10.24

3. 3²=9

4. (1/10)²=1/100=0.01

we see 10.24 is near to 10

so 3 1/5 is closest.

Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club will send him 12 new coins per month, and Jill's club will send her 8 new coins per month. After how many months will Jack and Jill have the same number of coins?

Answers

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

He box-and-whisker plot below shows the distribution of the ages, in years, of the trees in the Gordons' back yard. The title of the box and whisker plot is, Ages of Trees. The number line is labeled, age, in years, and ranges from 15 to 65. Based on the data shown in the box-and-whisker plot above, what is the interquartile range of the ages, in years, of the trees? Respond in the space provided. If your test is on paper, write your answer on the answer she

Answers

Answer:

[tex]IQR = 15[/tex]

Step-by-step explanation:

Given

I will answer this question with the attached plot

Required

The interquartile range (IQR)

This is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

On the second attachment, I identified Q1 and Q3 on the plot.

So, we have:

[tex]Q_3 = 40[/tex]

[tex]Q_1 = 25[/tex]

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 40 - 25[/tex]

[tex]IQR = 15[/tex]

Laura shares out 12 sweets. She gives Robert 1 sweet for every 3
sweets she takes. How many sweets does Robert get?

Answers

Answer:

4

Step-by-step explanation:

12/3=4 or

12*1/3 or

12*0.3333333333333

Answer:

3 sweets

Step-by-step explanation:

3:1

6:2

9:3

9+3=12 sweets

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