How do you decide where to shade an inequality whose boundary does not go through the origin?

Answers

Answer 1

Answer:

If it does not satisfy the inequality, shade the region which does not contain that point. All the points in the shaded region will satisfy the inequality. Note: The origin (0, 0) is usually the easiest point to test, provided it is not on the line.

Answer 2

Inequalities are used to represent unequal expressions.

The region to shade are the region that satisfy the inequality.

Take for instance the following inequality

[tex]\mathbf{y \ge 2x + 5}[/tex]

The above inequality represents greater than or equal to.

This means that, the regions that satisfy the inequality are the region on the line of [tex]\mathbf{y \ge 2x + 5}[/tex] and the areas above it.

If the inequality is less than, then the region below the line of the inequality will be shaded.

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Related Questions

A triangle has vertices on the coordinate grid at points D (3, -3), E (0,2), and F (-1,-3)

Answers

Answer:

4 units

Step-by-step explanation:

A triangle has vertices on the coordinate grid at points D (3, -3), E (0, 2), and F (-1, -3). What is the length, in units, of DF ?

A triangle is a polygon with three sides and three angles.

The distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is given by:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given A triangle with vertices at points D (3, -3), E (0, 2), and F (-1, -3). The length of side DF is given as:

[tex]DF=\sqrt{(-1-3)^2+(-3-(-3))^2}=4\ units[/tex]

Friction is not related to the efficiency of a machine.


True or False

Answers

Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.

I need help simplifying this equation.

Answers

Answer:

6abc

Step-by-step explanation:

In this equation, one is given both variables and constant. One can only combine like terms; variables of the same parameter with other variables of the same parameter, or constant with constants. In this situation, three different variables are given, but two constants are given. One can combine the constant, but one must leave the variables as they are. Thus:

3 * b * 2 * ac

= 3 * 2 * b * ac

= 6abc

What is the range of a function and how do you solve for it?

Answers

More generally, if we want to find the full range of y=x2+1, we can solve for x (taking the inverse of the function) to get x=√y−1. Then, the range of f(x) is simply the domain of √y−1, because these are all the values where there is some x-value with f(x)=y.

(Hope this helps!!!) Can I pls have a brainliest???

Un contenedor de 120 lt de capacidad contiene 90 lt de un líquido ¿que porcebtaje de la capacidad del tanque está desocupado

Answers

Answer:

25%

Step-by-step explanation:

Paso 1

Calcula la cantidad del contenedor que no estaba ocupado.

Esto se calcula como

Tamaño del recipiente: cantidad de líquido en el recipiente

= 120 lt - 90lt

= 30 litros

Paso 2

El porcentaje de la capacidad del tanque que está desocupado se calcula como:

= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100

= 30lt / 120lt × 100

= 25%

can someone help me with these problems I don't get it very well​

Answers

this is my answer but you need to check with your teacher

Answer:

25 & 26Complementary angles sum to 90°

Angle:

90° - 47° = 43°

Find x

2x -3 = 432x = 46x = 2327 & 28Vertical angles are congruent

Angle

82°

Find y

5y + 12 = 825y = 70y = 1429 & 30Adjacent angles forming a straight line are supplementary and sum to 180°

Angle:

180° - 115° = 65°

Find n:

4n - 5 = 654n = 70n = 17.531 & 32

Angle addition postulate

∠XYZ = ∠XYW + ∠WYZ

Angle

m∠XYW = 110° - 72° = 38°

Find x:

3x + 2 = 383x = 36x = 1233 & 34Complementary and vertical angles (mentioned above)

Angle

90° - 35° = 55°

Find n:

5n = 55n = 11

Determine the solution set for (x-3)2-18=-4

Answers

Add 18 to both sides to get 2(x-3)=14, then divide by 2 to get (x-3)=7, and finally add 3 to both sides to get x=10, hope that helps :)

How do you simplify (4 – 5) – (13 – 18 + 2) ?

Answers

Answer:

2

Step-by-step explanation:

4-5= -1

13-18+2= (-5+2)= -3

-1-(-3)=2

Don't forget your order of operations

P (parenthesis)

E (exponents)

MD (multiplication/division)

AS (addition/subtraction)

Answer:

2

Step-by-step explanation:

use pemdas (parenthesis, exponents, multiplication, division, addition, and subtraction) to solve:

first: 4-5 = -1

second: 13-18+2 = -3

third: (-1) - (-3) = 2

1
Carlos starts work at 21 20 and finishes at 06 15 the next day.
Calculate how long Carlos is at work.​

Answers

Answer:

he's at work for 9 hours 55minutes

Carlos works for 8 hours and 55 minutes.

Given that, Carlos starts work at 21:20 and finishes at 06:15 the next day.

How to read 24 hours clock?

A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.

The 24-hour clock is more often shown on digital clocks and is written in a 4-digit form, with the first two digits representing the hour and the last two representing the minutes.

From 21:20 to 06:15 there are 8 hours and 55 minutes.

Therefore, Carlos works for 8 hours and 55 minutes.

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If x=5 and y=−2, evaluate the following expression:20−5y+2x​

Answers

Step-by-step explanation:

20−5y+2x

20-5(-2)+2(5)

20+10+10=40

Answer:

20 − ( 5 ) ( −2 ) + ( 2 ) ( 5 )

= 20 − ( −10 ) + ( 2 ) ( 5 )

= 30 + ( 2 ) ( 5 )

= 30 + 10

= 40

Hope it helps

Please mark me as the brainliest

Thank you

Which expression is equal to
сол
(A
5x8
8 x 5
C8= 5
5=8

Answers

Is probably C and D good luck!
And have a nice day

Which of the following equations have only one solution? Select all correct answers.
x²-x-6=0
5 x2 + 20 x+ 20 = 0
9x2 - 25 = 0
4x2+4 x=0
12+ 6 x+9= 0​

Answers

Answer:

The equations which have only one solution is: 5x²+20x+20=0,

Step-by-step explanation:

Answer:

5x^2 + 20x + 20 = 0

12+ 6x +9= 0​

Step-by-step explanation:

5x^2 + 20x + 20 = 0  /5             12 + 6x + 9 = 0        

x^2 + 4x + 4 = 0                          6x = -9-12

(x+2)^2=0                                    6x = -21

x + 2 = 0                                      x = -21/6

x=-2                                             x = -3.5

A fitness instructor purchases exercise bikes and treadmills for two gyms. For the first gym, 2 exercise bikes and 3 treadmills cost $2200. For the second gym, 3 exercise bikes and 4 treadmills cost $3000. How much does a treadmill cost?

Answers

600$ for each treadmill and 200 for each bike

The cost is 600$ for each treadmill and 200 for each bike.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

2 exercise bikes and 3 treadmills cost $2200.

3 exercise bikes and 4 treadmills cost $3000.

solving, we get,

6b+9t=6600

6b+8t=6000

i.e. t=600

Hence,  the cost is 600$ for each treadmill and 200 for each bike.

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Which of the following numbers are less than-0.625. The numbers are -8/5 -5/8 -0.5 choose all that apply

Answers

Answer:

-8/5 = -1.6

-5/8 = -0.625

-1/2 = --0.5

Step-by-step explanation:

The number that is less then -0.625 is -8/5 which is -1.6

3. The material Santiago will use to build the ramp costs $2.20 per square foot. What will the total cost of building the ramp be?​

Answers

Answer:

262 square feet

Step-by-step explanation:

The required expression model for the cost of the ramp is y = 2.20x.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let the area of the ramp be x and the cost to build the ramp be y,

According to the question,
The material Santiago will use to build the ramp costs $2.20 per square foot.

Total cost = 2.20 × area of the ramp

Substitute the variable in the above expression,

y = 2.20x

The above equation represents the equation model for the cost of ramp y for the x square foot area of the ramp.

Thus, the required expression model for the cost of the ramp is y = 2.20x.

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the price of a sweater was reduced from $20 to $12 by what percentage has the price of the sweater been reduced

Answers

Answer:

The price of the sweater was reduced by 40%.

The figure is a parallelogram. Solve for x.
2X-5=17

Answers

2x=17+5

2x=22

x=11

Hope this is right!

Answer:

x=11

Step-by-step explanation:

2x-5=17

+5

2x=22

/2

x=11

5. What is the value of x?
(1 point)
60°
X
300
15
153
15
2
53
155

Answers

Answer:

x = 15[tex]\sqrt{3}[/tex]

Step-by-step explanation:

tan60 = x / 15 = [tex]\sqrt{3}[/tex] so x = 15[tex]\sqrt{3}[/tex]


Let's say that a cell phone provider offers a new phone for $600 with a
$70 monthly plan. Find the equation that represents the average cost of
the phone, C(x), to use for x amount of months.
Can someone please answer this?

Answers

Answer:

Total=600+70(x)

The average cost of the phone is C(x) = (600 + 70x)/x.

How to calculate the average?

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

Given that,

The fixed price of the cellphone is $600.

And, the monthly plan is $70.

Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.

As per the question the average cost can be written as,

C(x) = (600 + 70x)/x

Where x is the number of months.

Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.

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22 x² y–55xy² in factorization​

Answers

Answer:

[tex]22x^{2} y - 55xy^{2} = 11xy*(2x-5y)[/tex]

solve the equation 2[x]>14

Answers

Answer:

2x>14  

2x÷2>14÷2

X>14÷2

X>7  or X€(7,∞)

Step-by-step explanation:

step 1- divide both sides of the by 2

step 2- any expression divided by itself is 1

Solve for x: |x| − 8 = −5

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

3 or -3

Step-by-step explanation:

|x| - 8 = -5

|x| = 3

The absolute value of x = 3, -3

The base (b) of the triangle is
y feet.
The height (h) of the triangle is
feet
The area of the triangle is
square feet

Answers

Answer:

10 15 75

Step-by-step explanation:

Help pls this is mad hard

Answers

Answer:

17

Step-by-step explanation:

a²+b²=c²

(15x15)+(8x8) = c²

225+64 = c²

√c = 17

Pls help me with this text thing i need the answers :O PLS I NEED IT NOW HELP

Answers

Answer:

1. d.9

2.

3.

Step-by-step explanation:

that is the only one I know sorry

Graph equation using the slope and Y intercept
Y= -2X +2

Answers

Answer:

Step-by-step explanation:

slope=-2

y-intercept=(0,2)

the mod
784 sq. in
28 in
Approximately how much cardboard did he use in all to make the model?
828 square inches
1,092 square inches
О
1,400 square inches
o
2,016 square inches
о

Answers

Answer:

Step-by-step explanation:

base = 784 sq in²  28 in tall pyramid

each side of the square base = √784   also equals 28

using the Pythagorean theorem the length of each side of the pyramid from the base to the point is

(side/2)² + height² =( length of the pyramid face)²

(28/2)² + 28²  = 196 + 784  = 980 =  (face length)²

face length = √980    =  31.3

area of the pyramid = 4 sides × area of each face + the area of the base

    =   4×[(1/2)(base)(face length)] + side²

    =   4(1/2)(28)(31.3) + 784

    =   2537 sq in²     Not in the solution set

PLEASE HELP! 20 POINTS
The speed of the current in a river is 6mph. A ferry operator who works that part of the river is looking to buy a new boat. Every day his route takes him 22.5 miles each way against the current and back to his dock and he needs to make this trip in a total of 9 hours. He had a boat in mind but he can only test it on a lake where there is no current. How fast must the boat go on the lake in order to serve his needs? PLEASE SHOW ALL WORK

Answers

Answer:

1,215 i think please be right

DESIGN Asſa general rule, the number of parking spaces in a parking lot for a movie theater complex varies directly with the number of
theaters in the complex. A typical complex has 30 parking spaces for each theater. A developer wants to build a new cinema complex on a lot
that has enough space for 210 parking spaces. Write the direct variation equation for the number of parking spaces y for x theaters

Answers

Answer:

it ia a because i did that on edginuity

Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.

Answers

Answer:

20.0 units

Step-by-step explanation:

[tex]\boxed{distance = \sqrt{ {(y1 - y2)}^{2} + {(x1 - x2)}^{2} }}[/tex]

Distance between (5, 9) and (-7, -7)

[tex] = \sqrt{( - 7 - 9)^{2} + ( - 7 - 5)^{2} } [/tex]

[tex] = \sqrt{( - 16)^{2} + ( - 12)^{2} } [/tex]

[tex] = \sqrt{256 + 144} [/tex]

[tex] = \sqrt{400} [/tex]

= 20 units

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