On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which system of linear inequalities is represented by the graph?

y > x – 2 and x – 2y < 4
y > x + 2 and x + 2y < 4
y > x – 2 and x + 2y < 4
y > x – 2 and x + 2y < –4

The estimates of the square roots and cube roots using the attached process are;

1) √15 = 3.81

2) √44 = 6.6.

3) √81 = 9

4) ∛12 = 2.88.

5) ∛125 = 5

6) ∛320 = 6..8

Perfect squares from 1 to 100; 4, 9, 16, 25, 36, 49, 64, 81, 100

Perfect cubes from 1 to 1000; 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

1) √15;

The nearest perfect squares to it are; 9 and 16

Thus; √9 < √15 < √16

⇒ 3 < √15 < 4

This means that √15 is between 3 and 4.

Since 15 is closer to 16 than 9, it means √15 is closer to 4 and thus, we can estimate √15 as 3.81.

2) √44;

The nearest perfect squares to it are; 36 and 49

Thus; √36 < √44 < √49

⇒ 6 < √44 < 7

This means that √44 is between 6 and 7.

Since 44 is closer to 16 than 9, it means √44 is closer to 6 and thus, we can estimate √44 as 6.6.

3) √81

This is a perfect square and the method used to estimate other non-perfect square doesn't apply here. Thus; √81 = 9

4) ∛12

The nearest perfect cubes to it are; 8 and 27

Thus; ∛8 < ∛12 < ∛27

⇒ 2 < ∛12 < 3

This means that √12 is between 2 and 3.

Since 12 is closer to 8 than 27, it means ∛12 is closer to 2 than 3 and thus, we can estimate ∛12 as 2.88.

5) ∛125

This is a perfect cube and the method used to estimate other non-perfect cubes doesn't apply here. Thus; ∛125 = 5

6) ∛320

The nearest perfect cubes to it are; 216 and 343

Thus; ∛216 < ∛320 < ∛343

⇒ 6 < ∛320 < 7

This means that ∛320 is between 6 and 7.

Since 320 is closer to 343 than 216, it means ∛320 is closer to 7 than 6 and thus, we can estimate ∛320 as 6..8

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Answer:

25 centimeters

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of a missing side of a right triangle

Pythagorean Theorem: a² + b² = c²

where a and b = legs and c = hypotenuse

For the following problem we are given two legs and need to find the hypotenuse, to do so we simply plug in the length of the legs and solve for the hypotenuse  or "c"

Leg lengths = 7 and 24

So a = 7 and b = 24

So we plug in 7 and 24 for a and b and solve for c

a² + b² = c²

a = 7

b = 24

(7)² + (24)² = c²

simplify exponents

49 + 576 = c²

add 59 and 576

625 = c²

take the square root of both sides

√625 = 25

√c² = c

we're left with c = 25

So the length of the hypotenuse would be 25 centimeters

Answer:

16

Step-by-step explanation:

convert 40 minutes to hours

[tex] \frac{40 \: minutes}{1} \times \frac{1 \: hour}{60 \: minutes} = \frac{40}{60} = \frac{2}{3} hour[/tex]

multiply to find the number of cars per hour

[tex] \frac{2}{3} \times \frac{6}{1} = \frac{12}{3} = 4 \: cars \: per \: hour[/tex]

multiply again

[tex]4 \times 4 = 16[/tex]

Answer:

$18.2

Step-by-step explanation:

26.000-30%=18.2

Espero que te ayude :) Me puedes poner como brailiest porfavor?

Answer:

ergerge

Step-by-step explanation:

Answer:

What is it freaking asking???

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

100 - 3 = 97

Answer:

I think

the value of y will be -24

..... when the value of x is 26

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides )

Here n = 5 , then

sum = 180° × 3 = 540°

Sum the given angles and equate to 540

2b - 90 + 90 + b + 45 + b + [tex]\frac{3}{2}[/tex] b = 540, collect like terms

4b + 1.5b  + 45 = 540 ( subtract 45 from both sides )

5.5b = 495 ( divide both sides by 5.5 )

b = 90

then

2b - 90 = 2(90) - 90 = 180 - 90 = 90

b + 45 = 90 + 45 = 135

[tex]\frac{3}{2}[/tex] b = 1.5b = 1.5 × 90 = 135

The angles from least to greatest are

90° , 90° , 90° , 135° and 135°

Answer:

1

Step-by-step explanation:

The difference between a number and its successor is 1

Answer:

JNM=42

Step-by-step explanation:

JNM is equal to LNK so you can set the equations equal to each other.

7x-21=4x+6, subtract 4x from both sides

3x-21=6, add 21 to both sides

3x=27, divide by 3

x=9, then you plug it into an equation

4 times 9 + 6

36+6

42

<JNM = [tex]42[/tex] degrees.

The angle made by two ground lines is measured horizontally , and is called a horizontal angle.

According to the question

Line J L and line M K slightly inclined with horizontal intersects at N.

<JNM = <LNK

[tex]4x + 6 = 7x - 21[/tex]

Subtract 4x from both sides

[tex]6 = 3x -21[/tex]

[tex]3x=27[/tex]

Divide by 3

[tex]x=\frac{27}{3}[/tex]

[tex]x =9[/tex]

<JNM = [tex]4x+6[/tex]

<JNM = [tex]4(9)+6[/tex]

<JNM = [tex]42[/tex] degrees

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Answer: The expression 3x+4y represents 3 bags of $3 tomatoes and 4 bags of $4 onions

Step-by-step explanation:

The expression 3x+4y represents 3 bags of $3 tomatoes and 4 bags of $4 onions.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Baskets of tomatoes cost $3 each and bags of onions cost $4 each. A customer purchases x baskets of tomatoes and y bags of onions.

The expression 3x+4y represents the 3 bags of $3 tomatoes and 4 bags of $4 onions.

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Answer:

b

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

y = x + -2.3

x = -y - 2.3 (but why would one need this?...)

Step-by-step explanation:

(6.1 - (-9.7))/(8.4 - (-7.4)) = 15.8/15.8 = 1

6.1 = 8.4 + b

b = -2.3

Answer:

3580.267

Step-by-step explanation:

that's all I have for u

Answer:

4

Step-by-step explanation:

39.2 - 9.8

Use standard algorithm...

Your result will be

29.4

Next, do 29.4 ÷ 9.8.

You will get 3

Add one more and get 4 for your answer.

-kiniwih426

From the equation of the elipse, we have that:

The equation of an elipse of center [tex](x_0,y_0)[/tex] has the following format:

[tex]\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 1[/tex]

If a > b, we have that:

In this problem, the equation is:

[tex]\frac{(x - 2)^2}{36} + \frac{(y + 3)^2}{24} = 1[/tex]

Thus [tex]x_0 = 2, y_0 = -3, a = 6, b = \sqrt{24}[/tex]

For the major axis:

[tex]x = x_0 \pm a[/tex]

[tex]x = 2 \pm 6[/tex]

[tex]x = 2 - 6 = -4[/tex]

[tex]x = 2 + 6 = 8[/tex]

The endpoints of the major axis are: [tex]x = -4[/tex] and [tex]x = 8[/tex]

For the minor axis:

[tex]y = y_0 \pm b[/tex]

[tex]y = -3 \pm \sqrt{24}[/tex]

[tex]y = -3 - \sqrt{24}[/tex]

[tex]y = -3 + \sqrt{24}[/tex]

The endpoints of the minor axis are: [tex]y = -3 - \sqrt{24}[/tex] and [tex]y = -3 + \sqrt{24}[/tex].

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Answer:

joaobezerra is right its just a bit confusing to understand but here you go

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Hope this helps!

Answer:

9×10=90

Step-by-step explanation:

hope it helps ....

9514 1404 393

Answer:

  1 < x < 29

Step-by-step explanation:

The triangle inequality requires the sum of the two shortest sides exceed the longest side.

When x and 14 are the shortest:

  x + 14 > 15

  x > 1

When 14 and 15 are the shortest:

  14 +15 > x

  29 > x

Then the requirement for the length of x is ...

  1 < x < 29

_____

Additional comment

The length of the third side of a triangle can be between the difference and sum of the two given sides.

Answer:The simplest random sample allows all the units in the population to have an equal chance of being selected. ... Perhaps the most important benefit to selecting random samples is that it enables the researcher to rely upon assumptions of statistical theory to draw conclusions from what is observed.

Step-by-step explanation:

Answer:

Ufiriruutututirjehf3j3ieygrjrufhgvtjtjtbtvtvthghhffhbfbf

Step-by-step explanation:

Gtdkyfjysjtd is a great place to work for and it is a great place to work for and it is a great place to work for and it is a great place to work for and it is a great place to work for and it is a great place to work for and it will is a great a great opportunity for you and your family to help you grow grow your career life and make sure you are the perfect candidate for your career path and your business and your business with your business goals and goals for your business success and your future goals will be successful and you will be succeed with and exceed your expectations of the success of your business and your company is the best choice in your business to provide you with the most opportunity to earn a successful business and successful marketing business opportunity in your business to achieve your goals in achieving your your business goals in the your best business environment for your business needs help and you will be will help us succeed and help us succeed and we will be able for all you can to help you in the process and be successful with 6 7 your own business plan and your work will be a great experience addition for your business needs as well for the future of the year you will are a great 4 5 and a great opportunity and to be successful a part of the your life of the business and 907 your of the best and the best in the world of your business with and without you being able to spend a lot of time with your family 73 and I hope that you will be able to able to make some it would be a miss 3rd 3 and we you will be able and not only do you want to know do not worry about worry or loss of any other products or services that 2021 your business and your family is not the most important thing to you or your customers and your business needs help to with the best the lord has done in the past to help you make your life easier to

The required 98th term of the arithmetic progression is -374.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

Here,
Given sequence,
14, 10, 6,

First term,
a = 14,
common difference d = 10 - 14 = -4

Explicit formula,
nth term = a + (n -1)d
98th term = 14 + (98 - 1)(-4)
98th term = 14 + 97 (-4)
98th term =  -374

Thus, the required 98th term of the arithmetic progression is -374.

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Answer:

Step-by-step explanation:

3/4 = 0.75 pound

1 : 0.75 = x : 1

x = 1 * 1 : 0.75

x = 1.33

--------------check

1 : 0.75 = 1.33 : 1

1.33 = 1.33

the answer is good

Answer:

[tex]1 \frac{1}{3}lb \: sausage[/tex]

Step-by-step explanation:

What Iike to do is make it like a ratio.

So you have one pound of sausage per 3/4lb of cheese

[tex] \frac{1lb \: sausage}{( \frac{3}{4} )lb \: cheese} = \frac{sausage}{1lb \: cheese} [/tex]

Then you just make that sausage the subject of the equation by multiplying 1lb cheese to both sides of the equation, and you have your answer.

[tex]1lb \: cheese \times \frac{1lb \: sausage}{0.75 \: lb \: cheese} = sausage[/tex]

The rate of change is 2/3

rise = 2

run = 3

rise/over = 2/3

Answer: 2/3 is gonna be your answer. Trust me I have done this exact

g o o g l e form before!

Step-by-step explanation:

Add 17 to both sides-

3s - 17 = 19

+17 +17

Now, divide both sides by 3-

3s/3 = 36/3

Which gives the answer of s = 12

hope this helps !! :)

Let the bigger number be 'p' and the smaller number 'p'.

Since the numbers have a difference of 8, then  p - q = 8

& since the larger number is two more than twice the smaller, then

                                                                                                        p = 2q + 2

⇒   (2q + 2) - q = 8                       [by substituting for equation for p]

                     q = 6

Since q = 6,

⇒  p - 6 = 8

          p = 14

∴ the smaller number is 6 and the bigger 14

Answer:

The inequality expression would be 1.75+0.65x ≥10

She would be able to ride ~12.7 miles or just 12 miles rounding down.

Step-by-step explanation:

Following mx+b, the m value would be 0.65 because it is added per mile.

The 1.75 would be the b value because it is the starting value.

So the equation would look like 1.75+0.65x. To know if the 10 value would be less than or more than, we have to know if 10 is the limit value or starting value. Because 10 is our limit value, we will use greater than or equal to.

To know how many miles Erica could travel, we would have to subtract 1.75

from 10. We would get 8.25. We would then divide 8.25 by 0.65. so the number of miles she can travel is ~12.7 miles or just 12 miles rounding down.