Generalize How do the graphs of the solutions of inequalities involving greater than (>) and greater than or equal to (2) compare?​

Answers

Answer 1
The graph of a two-variable linear inequality looks like this:

2
2
4
4
6
6
8
8
-
4
-
4
-
6
-
6
-
8
-
8
2
2
4
4
6
6
8
8
-
4
-
4
-
6
-
6
-
8
-
8
y
y
x
x
It's a line with one side shaded to indicate which
x
xx-
y
yy pairs are solutions to the inequality.
In this case, we can see that the origin
(
0
,
0
)
(0,0)left parenthesis, 0, comma, 0, right parenthesis is a solution because it is in the shaded part, but the point
(
4
,
4
)
(4,4)left parenthesis, 4, comma, 4, right parenthesis is not a solution because it is outside of the shaded part.

Related Questions

What were the overall returns during the bull market from 1970 to 1973?

Answers

The Answer: Gain — Previous bull markets gained between 74% (1970–1973) and 582% (1987–2000), with an average gain of 185% and a median gain of 132%.

Hope this was helpful to you

If the sum of the circumference and the diameter of a circle is 145 cm, what is the length of its circumference​

Answers

Answer:

110 cm

Step-by-step explanation:

Hope it will help you.

give me full working and explanation and I give you stars. deal..?​​

Answers

Length: 44 metre

perimeter of rectangle = 2(length+breadth)

Here given,

length = L

breadth = 12 metre

perimeter = 112 metre

P = 2(L+B)112 = 2(L+12)12 + L = 112/2L = 56 - 12L = 44 m

Does this mean my data is normally distributed or not? How did you know?

Answers

Answer:

There are most likely a few outliers, with the rest of the data close to the mean. The standard deviation is an indication of how "wide" the peak of the graph is. Since we have a very large range, that means that the values cover a very large range. But since the standard deviation is small, that means that most of the values are extremely close to the average (or mean) of the values. With that in mind, let's look at the options and see what fits. The distribution is very flat with a gradual increase in frequency as the numbers approach the mean. * This would have a rather large standard deviation since most of the values would be a fair distance from the mean. So this is a bad choice. There are most likely a few outliers, with the rest of the data close to the mean. * This is a very accurate description of the situation. So it's the correct choice. You can't really know anything about the distribution's shape without actually seeing it, or having more data. * This is a cop out and quite wrong. Therefore this is a bad choice. The distribution is essentially normal or bell shaped. * This is what is usually expected, but since we have a small standard deviation, the curve is more definitely NOT bell shaped. So this is a wrong choice...

Step-by-step explanation:

#caryonlearning correct me if im wrong

7. Nine more than three times a mumber is -6​

Answers

Answer:

-5

Step-by-step explanation:

Your equation will look like this:

3x+9=-6

Subtract 9 from both sides.

3x+9−9=−6−9

3x=−15

Divide both sides by 3.

3x/3=−15/3

x=−5

Hope this helped!

The asked number is -5

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, nine more than three times a number is -6​, we need to find the number,

Let us consider the asked number be x

Establishing the equation, we get;

3x+9 = -6

Subtract 9 from both sides.

3x+9-9 = -6-9

3x = -15

Divide both sides by 3.

3x/3 = -15/3

x = -5

Hence, the asked number is -5

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Drag the tiles to the correct boxes to complete the pairs.
Match each object with the characteristic it represents.

a broom handle
the letter T
a sun ray
a cookie crumb
the horizon
rows of seats on
an airplane




ray
line segment
point
line
perpendicular lines
parallel lines

Answers

Answer:

a broom handle - line segment

the letter T - perpendicular lines

a sun ray - ray

a cookie crumb - point

the horizon - line

row of seats of airplane -  parallel lines

Step-by-step explanation:

a broom handle is straight and has a beginning and end, same goes for a line segment

the letter T has two lines that intersect with one another, these lines are perpendicular

a sun ray is well, a ray

a cookie crumb is small and round, similar to a point

lines do not have a beginning or end, like the horizon line

and the row of seats on an airplane all line up together like lines that are parallel.

Hope this helps :)

A​ hot-air balloon is flying at an altitude of 2958 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 28​, how far is the house from the​ pilot?

Answers

Answer:

6300.70 feet

Step-by-step explanation:

Let the distance between pilot and house be d.

The three points form a right triangle, with height of 2958 ft and opposite angle 28 degrees.

Find d using trigonometry

sine = opposite / hypotenusesin 28° = 2958/dd = 2958/sin 28°d = 6300.70 feet
Perpendicular=P=2958Hypotenuse=H

Lets see

sinØ=P/Hsin28=2958/HH=2958/sin28H=6300.7ft

Please help me on this

Answers

Answer:

The answer is $3. 75

Step-by-step explanation:

The question is somehow I just did what they said but I hope it helps

What is 0.08÷3.16? as a decimal.

Answers

Answer:

It's 0.03 rounded to the nearest hundredth.

Step-by-step explanation:

The whole answer is 0.0253164557.

How do I do these problems?

Answers

Answer:

12) x= 21

13) x = 1

14) x = 9

15) x = 1

Step-by-step explanation:

Here, we are being asked to solve the given equations and check our work.

To check the work, we need to substitute the found value of x into the equation to check if it makes a true and correct statement.

12) Solve for x:

[tex]\sf 12)\ \dfrac{2}{3}x + 2 = 16\ \textsf{[subtract 2 from both sides]}\\\\\implies \dfrac{2}{3}x + 2 - 2 = 16 - 2\\\\\implies \dfrac{2}{3}x = 14\ \textsf{[multiply both sides by 3]}\\\\\implies 3\left(\dfrac{2}{3}\right)x = 14(3)\\\\\implies 2x = 42\ \textsf{[divide both sides by 2]}\\\\\implies \dfrac{2x}{2}=\dfrac{42}{2}\\\\\implies \boxed{\sf x = 21}[/tex]

Check your work:

[tex]\sf \dfrac{2}{3}x + 2 = 16\ \textsf{[substitute 21 for the value of x]}\\\\\implies \dfrac{2}{3}(21) + 2 = 16\ \textsf{[multiply]}\\\\\implies \dfrac{42}{3} + 2 = 16\ \textsf{[divide]}\\\\\implies 14 + 2 = 16\ \textsf{[add]}\\\\\implies 16 = 16\ \checkmark \textsf{[true statement]}[/tex]

13) Solve for x:

[tex]\sf 13)\ \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[multiply both sides by 6 - LCM of 2, 3, and 6]}\\\\\implies 6\left(\dfrac{x}{2} + \dfrac{x}{3}\right) = 6\left(\dfrac{5}{6}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{6x}{2} + \dfrac{6x}{3}\right) = \dfrac{30}{6}\ \textsf{[divide]}\\\\\implies 3x+2x=5\ \textsf{[combine like terms]}\\\\\implies 5x = 5\ \textsf{[divide both sides by 5]}\\\\\implies \dfrac{5x}{5}=\dfrac{5}{5}\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{x}{2} + \dfrac{x}{3} = \dfrac{5}{6}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \dfrac{1}{2} + \dfrac{1}{3} = \dfrac{5}{6}\ \textsf{[rewrite the fractions with a common denominator of 6]}\\\\\implies \dfrac{1\times3}{2\times3} + \dfrac{1\times2}{3\times2} = \dfrac{5}{6}\ \textsf{[multiply]}\\\\\implies \dfrac{3}{6} + \dfrac{2}{6} = \dfrac{5}{6}\ \textsf{[add]}\\\\\implies \dfrac{5}{6} = \dfrac{5}{6}\ \checkmark \ \textsf{[true statement]}[/tex]

14) Solve for x:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[multiply both sides by 24 - LCM of 6, 8, and 24]}\\\\\implies 24\left(\dfrac{x-1}{6} - \dfrac{x+1}{8}\right) = 24\left(\dfrac{1}{12}\right)\ \textsf{[multiply]}\\\\\implies \left(\dfrac{24x-24}{6}\right) - \left(\dfrac{24x+24}{8}\right) = \dfrac{24}{12}\ \textsf{[divide]}\\\\[/tex]

[tex]\sf\\\implies (4x-4)-(3x+3)=2\ \textsf{[distribute the negative sign]}\\\\\implies (4x-4)+(-3x-3)=2\ \textsf{[combine like terms]}\\\\\implies x - 7 = 2\ \textsf{[add 7 to both sides]}\\\\\implies x - 7 + 7 = 2 + 7\\\\\implies \boxed{\sf x = 9}[/tex]

Check your work:

[tex]\sf 14)\ \dfrac{x-1}{6} - \dfrac{x+1}{8} = \dfrac{1}{12}\ \textsf{[substitute 9 for the value of x]}\\\\\implies \dfrac{9-1}{6} - \dfrac{9+1}{8} = \dfrac{1}{12}\ \textsf{[simplify]}\\\\\implies \dfrac{8}{6} - \dfrac{10}{8} = \dfrac{1}{12}\ \textsf{[rewrite the fractions with a common denominator of 24]}\\\\\implies \dfrac{8\times4}{6\times4} - \dfrac{10\times3}{8\times3} = \dfrac{1\times2}{12\times2}\ \textsf{[simplify]}\\\\[/tex]

[tex]\sf\\\implies \dfrac{32}{24}-\dfrac{30}{24}=\dfrac{2}{24}\ \textsf{[subtract]}\\\\\implies \dfrac{2}{24}=\dfrac{2}{24}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{12}=\dfrac{1}{12}\ \checkmark\ \textsf{[true statement]}[/tex]

15) Solve for x:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[multiply both sides by 8 - LCM of 2, 4, and 8]}\\\\\implies 8\left(\dfrac{1}{4}+\dfrac{x+1}{8}\right)=8\left(\dfrac{1}{2}\right)\textsf{[multiply]}\\\\\implies \left(\dfrac{8}{4}+\dfrac{8x+8}{8}\right)=\dfrac{8}{2}\ \textsf{[divide]}\\\\\implies 2 + x + 1 = 4\ \textsf{[add]}\\\\\implies x + 3 = 4\ \textsf{[subtract 3 from both sides]}\\\\\implies x + 3 - 3 = 4 - 3\\\\\implies \boxed{\sf x = 1}[/tex]

Check your work:

[tex]\sf \dfrac{1}{4}+\dfrac{x+1}{8}=\dfrac{1}{2}\ \textsf{[substitute 1 for the value of x]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1+1}{8}\right)=\dfrac{1}{2}\ \textsf{[simplify]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{2}{8}\right)=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \left(\dfrac{1}{4}+\dfrac{1}{4}\right)=\dfrac{1}{2}\ \textsf{[add]}\\\\\implies \dfrac{2}{4}=\dfrac{1}{2}\ \textsf{[reduce]}\\\\\implies \dfrac{1}{2}=\dfrac{1}{2}\ \checkmark\ \textsf{[true statement]}[/tex]

A giant tortoise can walk about
1/10 meter per second on land. A cooter turtle can walk about
1/2 meter per second on land.
How long would it take a giant tortoise to travel 2 meters?
2 ÷ 1/10 = 2 ? 10 =

Answers

Answer:

its already on brainy hope this helps

Step-by-step explanation:

The rate of giant tortoise is 1/10 meters per each second.

The rate of cooter turtle is 1/2 meters per each second.

How long would it take a giant tortoise to travel 5 meters?

1 second : 1/10 m = X : 5 m

1/10x = 5

x = 50 seconds

How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?

1 second : 1/2 m = X : 10 m

1/2x = 10

x = 20 seconds

So the giant turtle can travel 5 meters in 50 seconds.

So the cooter turtle can travel 10 meters in 20 seconds.

Could someone help me please.

Answers

Answer:

D

Step-by-step explanation:

The expression is equal to 1/300

D is the only other one equal to 1/300

HELP FAST!! The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. Find the score that is one and one-half standard deviations below the mean.

Answers

Answer:

91

Step-by-step explanation:

130 - 1 1/2 ( 26) = 91

Use your findings from problem 8-79 to answer the questions below. Recall that the diameter of a circle is a segment with endpoints on the circle that passes through the center. The length of the segment is also called the diameter.

Answers

Answer:

See below ↓↓↓↓

Step-by-step explanation:

a) Area of circle with radius 10 units

A = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 sq. units

b) Circumference of circle with diameter 7 units

r = d/2 = 7/2 unitsC = 2πrC = 2 x 22/7 x 7/2C = 2 x 11 = 22 units

c) Diameter of circle with area 121π square units

A = πr²121π = πr²r² = 121r = √121 = 11 unitsd = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr20π = 2πrr = 10 unitsA = πr²A = 3.14 x (10)²A = 3.14 x 100A = 314 square units

Area of circle with radius 10 units is 314 square units,

Circumference of circle with diameter 7 units is 22 square units,

Diameter of circle with area 121π square units is 22 units and

Area of circle with circumference 20π units is 314 square units

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

a) Area of circle with radius 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 sq. units

b) Circumference of circle with diameter 7 units

C = πd

C = 3.14×7

C = 21.98 units

c) Diameter of circle with area 121π square units

A = πr²

121π = πr²

r = √121 = 11 units

d = 2r = 2 x 11 = 22 units

d) Area of circle with circumference 20π units

C = 2πr

20π = 2πr

r = 10 units

A = πr²

A = 3.14 x (10)²

A = 3.14 x 100

A = 314 square units

Hence, Area of circle with radius 10 units is 314 square units, Circumference of circle with diameter 7 units is 22 square units, Diameter of circle with area 121π square units is 22 units and Area of circle with circumference 20π units is 314 square units

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Josh is cutting a 25-inch beard inte tinch sections How many whole sections will the end up with

Answers

14 whole sections can be cut in all.

4/3 of a number is more than 3/4 of its number by 1 . find the number​

Answers

Question : -

4/3 of a number is more than 3/4 of its number by 1 . find the number .

Given : -

4/3 of a no. is more than 3/4 of its no. by 1

To Find : -

We have to find the number .

To Assume : -

Let the no. be x

So Solution goes from here :

According to question 4/3 of a number is equal to :

[tex] \longmapsto \: \frac{4}{3} \times x[/tex]

Which means ,

[tex]\longmapsto \: \frac{4x}{3} [/tex]

According to question 3/4 of a number is equal to :

[tex]\longmapsto \: \frac{3}{4} \times x[/tex]

Which means ,

[tex]\longmapsto \: \frac{3x}{4} [/tex]

Now , forming equation :

As the question says that 4/3 of a number is more than 3/4 of its number by 1 . So :

[tex]\longmapsto \: \frac{4x}{3} = \frac{3x}{4} + 1[/tex]

Now , transposing 3x/4 to left hand side :

[tex]\longmapsto \frac{4x}{3} - \frac{3x}{4} = 1[/tex]

Now , taking L.C.M :

[tex]\longmapsto \: \frac{4(4x) - 3(3x)}{12} = 1[/tex]

Now by calculating :

[tex]\longmapsto \: \frac{16x - 9x}{12} = 1[/tex]

Now Subtracting 16x with 9x and transposing 12 to right hand side :

[tex]\longmapsto \: 7x = 12[/tex]

So ,

[tex]\longmapsto \: \boxed{ \bold{ x = \frac{12}{7} }}[/tex]

Therefore , the number is 12/7 .

#[tex] \sf{Keep \: Learning }[/tex]

How many solutions does the system formed by x - y = 2 and ay - ax + 2a = 0 have for a nonzero
number a? Give your answer and complete the explanation.
The system has (select)
solution(s). Rearranging the left side of the 2nd equation and
subtracting 2a from both sides gives-ax + ay =
a. Dividing both sides by-a gives
x-y=
So, the equations describe the same line.

Answers

Answer:

1

y = 0

x = 2

Step-by-step explanation:

The first thing we want to do to solve a system of equations is to solve one of them in terms of a single variable.

Lets start with x - y = 2

If we add y to both sides we get: x = 2 + y

Now to solve the system of equations we can substitute that value for x into the other equation. In any system of equations a solution for one must be a solution for the other as well.

ay - ax + 2a = 0

When we substitute our value of x into this equation and get the folowing:

ay - a(2 + y) +2a = 0

ay -2a - ay + 2a = 0

All of the terms cancel out on the left side leaving us with:

0 = 0

This means that the only way this system can be solved is if y is equal to 0.

Going back to the first equation x - y = 2

x - 0 = 2   so x = 2

This is the only solution to that system of equations, which means it forms a point instead of a line.

Need help with math please

Answers

Answer:

45°

Step-by-step explanation:

if angle 3 is 135 the angle 2 is 45 and angle 2 is equal to angle 4 which is 45°

Y=x+8
find the slope and the y-intercept of the line.

Answers

Y=Mx+b is slope intercept form so mx is the slope which is 1 (even though you don’t see the 1) and the b is the y intercept so that is 8 (0,8)
Answer:

Slope: 1

y-intercept: 8

Solution:The given equation is written in slope-intercept form, which looks like so:y=mx+bIn the above formula, m stands for the slope, and b stands for the y-intercept.Notice that the slope is the coefficient of x (the number next to x) and b is the y-intercept.Therefore, the slope is equivalent to 1, and the y-intercept is equivalent to 8.

Hope it helps.

Do comment if you have any query.

3. Explain the relationship between area and square units

Answers

Answer:

In geometry, the area of a two dimensional object is the amount of space an area takes up. A square unit is a square with sides of length one unit.

1
unit.
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of
2
1
How many
unit cubes does it take to fill the prism?
2
NI

Answers

Answer:

48

Step-by-step explanation:

If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.

The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered
paintings, what is the probability that Tim's and Abby's paintings are in the 6th and 7th positions?

Answers

The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.76%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered paintings.

Then the probability that Tim's and Abby's paintings are in the 6th and 7th positions will be

[tex]P = \dfrac{1}{^{12}P_2} \\\\\\P = \dfrac{1}{\dfrac{12!}{(12-2)!}}\\\\\\P = \dfrac{1}{132}\\\\\\P= 0.007575 \approx 0.0076 \ or \ 0.76 \%[/tex]

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lines l and m are parallel. Measure def is three times abc. Measure bcd=25%, measure cde=55%. Find measure abc.

Answers

Answer:

<ABC= 45 degrees

Angles on a straight line add up to 180

3x+ x= 180

4x=180

x=180÷4

x=45

Answer:

Measure of ABC = 15 degrees.

Step-by-step explanation:

We draw 2  lines parallel  to l and m , one passing through pont C ( n) and the other passing through point D (p).

If < abc = x degrees then the angle below line n = 25 - x. As the one above = x degrees ( alternate to < ABC).

The angle below line p = < DEF 3x degrees (alternate angles)

So as  < CDE = 55:

25 - x + 3x = 55

2x = 30

x = 15.

So < ABC = 15 degrees.

Selim walked 1/12 of a mile to the coffee shop in 712 of a mile to the dry cleaners how far apart is the coffee shop from the dry cleaners grid your answer NOTE: grid your answer as a fraction not a mixed number

Answers

Answer:

6/12 of a mile

Step-by-step explanation:

7/12-1/12=16/12

Express the first 10 terms of a sequence 2,5,8,11 in sigma notation

Answers

Answer

The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29

Explanation:

You can notice that to get to the next term, you have to add 3.
So we add 3 every next term

PLEASE HELP ASAP WITH HOW U DID IT WILL MARK BRAINLIST!!!

9.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost
43¢ to mail a letter to a Canadian address in 1988, what (to the nearest penny) did it
cost in 1938?

Answers

The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988

Let x represent the cost of mailing the letter in 1938, hence:

x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent

The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988

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can i pleas have help with this

Answers

Answer:

133m²

Step-by-step explanation:

Super easy!

A = BxH

  = 9.5x14

  = 133

So hence, your answer is 133.

The area of this rhombus is 133m²

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CAN SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER
IMAGE DOWN BELOW!

Answers

how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?

assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:

o²= m²+n²

= 4.7²+5.5²

=52.34

o=V52.34

≈7.23

whats reciprocal of 4 1/4

Answers

Answer:

4 4/1

Step-by-step explanation:

we know that reciprocal mans backwards. This doesn't apply to the whole number un math. only the denominational and numerator.

Answer:

4×4=16

16+1=17

=4/17

step-by-step explanation:

since that is a mixed fraction, you first change it into an improper fraction......by multiplying the denominator and the whole number then add the numerator. You will get 17 as your numerator.......then make it your denominator and 4 your numerator

Find the slope and the y-intercept of the linear equation: 2x+y=7
slope: 7; y-intercept: 2
slope: 2; y-intercept: 7
slope: -2; y-intercept: 7
slope: 1/2; y-intercept: 7

Answers

Answer:

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Subtract 2x 2 x from both sides of the equation. Reorder 7 7 and −2x - 2 x . Using the slope-intercept form, the slope is −2 .

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