What is the solution, if any, to the inequality 3-14-n1 > 1?
no solution
O all real numbers
On>2 or n < 6
O 2< n < 6

What Is The Solution, If Any, To The Inequality 3-14-n1 &gt; 1?no SolutionO All Real NumbersOn&gt;2 Or

Answers

Answer 1

Answer:

n > 2 or n < 6

Step-by-step explanation:

3 - | 4 - n | < 1

Let's move 3 to the other side of the equation:

- | 4 - n | < 1 - 3

- | 4 - n | < -2

Both sides of the equation are negative, so we can simplify by multiplying them with -1:

(- | 4 - n | < -2*-1

| 4 - n | < 2

We cannot get rid of the module because it's not for a single number and we dont know what n is equal to but there is a rule that we can use to remove the module:

- if | x | < a and a > 0 then -a < x < a. So if we use it we get the following:

- 2 < 4 - n < 2

These are two equations, separate and solve them separately

4 - n < 2

- n < 2 - 4

- n < -2

n > 2 (< turns into > because we changed sign)

and

- 2 < 4 - n

4 - n > -2

-n > -2 - 4

n < 6 (we change the sign of the numbers so the equation changes too)

So after solving the two equation we get the answers


Related Questions

Find a solution to the system of equations.
5x+2y=16
7x+3y=23
X= Y=

Answers

Answer:

x = 2 and y = 3

Step-by-step explanation:

-3(5x+2y=16)

2(7x+3y=23)

-15 x - 6y = -48

14 x + 6y = 46

the y's cancel out

- x = - 2

x = 2

5x + 2y = 16

5(2) + 2y = 16

2y = 6

y = 3

Find the area of the composite figure.

Answers

So in fig 1 :

L = 14m W = 9m

Area = L × WArea = 9 × 14Area = 126 m²

In fig 2 :

L = 7mW = 16 - 9 = 7m

Area= L × WArea = 7 × 7Area =49m²

TA = 126 + 49TA = 175 m²

The area of the composite figure is,

A = 175 m²

We have to given that,

A composite figure is shown.

In first part,

Lenght (L) = 14m

Width (W) = 9m

Hence, We get;

Area = L × W

Area = 9 × 14

Area = 126 m²

For second part,

Lenght (L) = 7m

Width (w) = 16 - 9 = 7m

Hence, We get;

Area= L × W

Area = 7 × 7

Area =49m²

So, We can formulate;

The area of the composite figure is,

A = 126 + 49

A = 175 m²

Learn more about the rectangle visit:

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Math Help Help Fast Alot of points

Answers

We know

At centroid the medians of all triangles bisect eachother at 2:1 ratio

So

PV:VT=2:1

[tex]\\ \tt\hookrightarrow 16:VT=2:1[/tex]

[tex]\\ \tt\hookrightarrow VT=8[/tex]

RV:VS=2:1

[tex]\\ \tt\hookrightarrow 18;VS=2:1[/tex]

[tex]\\ \tt\hookrightarrow VS=9[/tex]

PT=16+8=24units

[tex]\\ \tt\hookrightarrow VU:QU=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU:39=1:3[/tex]

[tex]\\ \tt\hookrightarrow VU=13[/tex]

10
What is the value of x in the equation 1 x - x = 30, when y = 15?
=
4
8
Ο Ο Ο Ο
80
200

Answers

Answer:

8

Step-by-step explanation:

how i got cause i had same answer not to long ago

Kaden is making loaves of bananna bread. He males 4 loaves of banana bread, and he uses 9 cups of flour in all. How mich flour does he use per loaf?

Answers

Answer:

2.25 cups

Step-by-step explanation:

9/4 = 2.25

9/4 which is 2 and 1/4 cups per loaf

PLEASE HELP I'LL GIVE BRAINLY AND POINTS

Simplify the expression

1/5 (-15w - 20) + 1/2 (3 - 4w)​

Answers

Answer:

-5w - 5/2

Step-by-step explanation:

hope it helps

Jordan has 3.2 liters of paint left after painting the scenery for the school play. How can she convert this number to find how many milliliters of paint she has left?

A. Multiply by 100
B. Multiply by 1,000
C. Divide by 100
D. Divide by 1,000

Answers

To convert liters to milliliters, we multiply the given value by 1000 because 1 liter = 1000 ml. For example, to convert 5 liters to milliliters, 5 × 1000 = 5000 ml.

Pls do this I rlly need help

Answers

Answer:

8, 5, 4, 7, 12, 9, 20, 9, 21

All explanations below!

Step-by-step explanation:

1. 1/2 times 16 = 8

2. 1/4 times 20 = 5

3. 1/3 times 12 = 4

4. 1/5 times 35 = 7

5. 2/3 times 18 = 12

6. 3/7 times 21 = 9

7. 5/8 times 32 = 20

8. 1/6 times 54 = 9

9. 3/4 times 28 = 21

Will give brainliest please help. Worth lot of points

Are they similar or why are they not

Answers

Answer:

Yes they are similar due to the parallel lines of XY & BC. So, technically, the small and big triangle both will share the same base angles because corresponding angles are equal. Thus, angle AYX will be equal to angle YCB, for example.

In addition, two shapes are similar if one is an enlargement of another.

Hope this helps!

Which of the following is the largest decimal number? *
0.231 .231 .03 .2

Answers

0.231 and .231 are the same and they are the largest (the zero in front of decimal doesn't make a difference)
.03 is in the hundreths place which makes it the smallest
.2 is not as big as 0.231 because is does not have any hundreths or thousandths attached to it to make it slightly larger

What is the slope of the line that passes through the points
(

5
,
8
)
(−5,8) and
(

5
,
4
)
(−5,4)? Write your answer in simplest form.

Answers

Step-by-step explanation:

Slope formula:

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

Substitute the points into the formula format:

[tex] \frac{4}{ - 5} - \frac{8}{ - 5} = m[/tex]

Solve:

[tex] \frac{ - 4}{0} = m[/tex]

When a slope has a run (x) of 0, the slope is undefined.

Answer:

-4 / 0

Step-by-step explanation:

Given the following question:


(-5, 8), (-5, 4)

In order to find the answer to this question we will use rise over run, substitute the values, and then solve.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
(-5, 8), (x1, y1)
(-5, 4), (x2, y2)
4 - 8 = -4
-5 - -5 = 0
m = -4 / 0

Hope this helps.

why is it important to convert your equation from standard form to slope intercept? How can this help you graph your equation?

Answers

Answer:

The slope intercept form is used to find the y-intercept and the slope of a straight line. If you look closely, it is a linear function too; meaning the function can tell you its domain and range.

Find the average of -4, -8, -12, 0, and -6.

Answers

Answer:
-6


To find the average, you first have to add each of your numbers.

(-4)+(-8)+(-12)+(0)+(-6)

-30

Next, you have to divide it by the number of terms

-30/5


Your answer is -6

The sum of two numbers is 30. Their difference is 6. What are the numbers?

Answers

Answer:

18, 12

Step-by-step explanation:

x+y=30

x-y=6

2x=36 (add the equations before this together)

x=18

y=12

Answer:

The numbers are x = 18 and y = 12.

Step-by-step explanation:

In this polygon, all angles are right angles.


What is the area of this polygon?


Enter your answer in the box.

Answers

Divide the shape into a square and a rectangle, multiply 7 by 10, and subtract 10 from 21 to get 11. then multiply 11 by 24. Lastly, add the products together and you get 334 feet squared. Have a good day my friend!

The area of the polygon is: 334 ft²

What is the Area of a Polygon?

To find the area of a polygon, decompose the polygon into known shapes and find the area of each shape, then add all.

Thus:

Decomposing the polygon given, we would have rectangle 1 and rectangle 2.

Area of rectangle 1 = length × width = 7 × 10 = 70 ft²

Area of rectangle 2 = length × width = 24 × (21 - 10) = 264 ft²

Area of the polygon = 264 + 70 = 334 ft²

Learn more about area of polygon on:

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Which graph correctly shows the solution of the compound inequality 3x > and 9x<54?

Answers

Answer:

D

or the bottom answer

Step-by-step explanation:

3x ≥ 3 and 9x < 54

÷3    ÷3      ÷9    ÷9

x ≥ 1             x < 6

"and" means joined together

"≥" means filled in

"<" means not filled in

I hope this helps!

6(2x-3)-2(2x+1)

expand and simplify

Answers

Answer:

8x-20

Step-by-step explanation:

Distribute:

12x-18-2(2x+1)

12x-18-4x-2

Collect like terms:

8x-18-2

Answer:

8x-20

I need help with this question!

HELP!!!!

Answers

Answer:

add 200 for each of the In

Step-by-step explanation:

10 plus 200 is 210

211 = 411

536 = 736

1406 = 1606

Answer: for the 211 input the output is 411 and the 536 input has a 736 input

Step-by-step explanation:

It’s adding 200 each time

Four movie tickets cost $34.00. How much do seven movie tickets cost?

Answers

Answer:

7 movie tickets 59.5

Step-by-step explanation:

divide 34 by 4 and then you get 8.5 then multiply that by 7

Divide 34 by 4 grab that answer and multiply it by 7 so you’re answer is 59.50

Simplify:.........

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]

Answers

Answer:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]

[tex] \frac{13}{5} + \frac{13}{10} - \frac{47}{15} [/tex]

LCM of 5,10,15=30.

[tex] = \frac{13 \times 6 + 13 \times 3 - 47 \times 2}{30} [/tex]

[tex] = \frac{78 + 39 - 94}{30} = \frac{117 - 94}{30} = \frac{23}{30} [/tex]

Simplifying [tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex] is equal to [tex]\frac{23}{30}[/tex]

Given the following equation:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex]

What is a fraction?

A fraction refers to a numerical quantity that isn't expressed as a whole number. Therefore, a fraction is simply expressed as a part of a whole number.

The parts of a fraction.

In Mathematics, a fraction consists of two (2) main parts and these are:

NumeratorDenominator

In this exercise, you're required to simplify the given fractions. Thus, we would convert the mixed fraction to a single fraction as follows:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}=\frac{13}{5} +\frac{13}{10} -\frac{47}{15}[/tex]

Note: Lowest common multiple (LCM) of 5, 10 and 15 = 30.

[tex]\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{78+39-94}{30} \\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{117-94}{30}\\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{23}{30}[/tex]

Read more on fractions here: brainly.com/question/368260

Consider the arithmetic sequence presented in the table below.
n 3, 64
an 126 3,725
Hint: an = a1 + (n - 1), where a is the first term and d is the common difference.

Part A: What is the first term, a1, of the sequence? (2 points)

Part B: What is the general term equation, an, for this sequence? (1 point)

Part C: What is the value of the 13th term of this sequence? (1 point)

Answers

Answer:

3; 5; 35

Step-by-step explanation:

Sorry can’t help

Select all the correct answers.
Assume these hexagons are similar. Which changes will result in a pair of non-similar hexagons?
B
с
A
D
H
G
F
E
K
O doubling each side length in ABCDEF
subtracting 1 from each side length in GHIJKL
adding 15 degrees to angles G, H, and I, and subtracting 15 degrees from angles
o reducing each side length in GHIJKL by one-third of the original length
K and 2
adding 3 to each side length in GHIJKL

Answers

Answer:

Subtracting 1 from each side length of GHIJKL

Adding 15 degrees to angles G, H, and I, and subtracting 15 degrees from angles J, K, and L  

adding 3 to each side length in GHIJKL

Step-by-step explanation: Plato

Answer: 2&3 are the answers .

Step-by-step explanation: I got the answer right on my test .


Becky's brother has an investment account that he says earns an
average of 13% each year. If this is the case, approximately how long
will it take him to double his money?

Answers

Answer:

Approximately 8 years

Step-by-step explanation:

We are looking for 100% interest amount.

Since the yearly interest rate is 13%, time required to double the amount is:

100/13 = 7.69 or nearly 8 years

Please look at the picture below

Answers

Answer:

D.

Step-by-step explanation:

here is something to help you

Find the distance between (−4, −3) and (−2, 0). Round your answer to the nearest tenth.

Answers

Answer:Given the two points you entered of (-4, -3) and (-2, 0), we need to calculate 8 items:

Item 1: Calculate the slope and point-slope form:

Slope (m)  =   y2 - y1

  x2 - x1

Slope (m)  =   0 - -3

  -2 - -4

Slope (m)  =   3

  2

Calculate the point-slope form using the formula below:

y - y1 = m(x - x1)

y - -3 = 3/2(x + 4)

Item 2: Calculate the line equation that both points lie on.

The standard equation of a line is y = mx + b where m is our slope, x and y are points on the line, and b is a constant.

Rearranging that equation to solve for b, we get b = y - mx. Using the first point that you entered = (-4, -3) and the slope (m) = 3/2 that we calculated, let's plug in those values and evaluate:

b = -3 - (3/2 * -4)

b = -3 - (-12/2)

b  =   -6

  2

-

 

-12

2

b  =   6

  2

This fraction is not reduced. Using our GCF Calculator, we see that the top and bottom of the fraction can be reduced by 6

Our reduced fraction is:

1

0.33333333333333

Now that we have calculated (m) and (b), we have the items we need for our standard line equation:

y = 3/2x + 3

Item 3: Calculate the distance between the 2 points you entered.

Distance = Square Root((x2 - x1)2 + (y2 - y1)2)

Distance = Square Root((-2 - -4)2 + (0 - -3)2)

Distance = Square Root((22 + 32))

Distance = √(4 + 9)

Distance = √13

Distance = 3.6056

Item 4: Calculate the Midpoint between the 2 points you entered. Midpoint is denoted as follows:

Midpoint =

 

x2 + x1

2

 

,

y2 + y1

2

Midpoint =

 

-4 + -2

2

 

,

-3 + 0

2

Midpoint =

 

-6

2

 

,

-3

2

Midpoint = (-3, -3/2)

Item 5: Form a right triangle and calculate the 2 remaining angles using our 2 points:

Using our 2 points, we form a right triangle by plotting a 3rd point (-2,-3)

Our first triangle side = -2 - -4 = 2

Our second triangle side = 0 - -3 = 3

Using the slope we calculated, Tan(Angle1) = 1.5

Angle1 = Atan(1.5)

Angle1 = 56.3099°

Since we have a right triangle, we only have 90 degrees left, so Angle2 = 90 - 56.3099° = 33.6901

Item 6:  Calculate the y intercept of our line equation

The y intercept is found by setting x = 0 in the line equation y = 3/2x + 3

y = 3/2(0) + 3

y = 3

Item 7: Determine the parametric equations for the line determined by (-4, -3) and (-2, 0)

Parametric equations are written in the form (x,y) = (x0,y0) + t(b,-a)

Plugging in our numbers, we get

(x,y) = (-4,-3) + t(-2 - -4,0 - -3)

(x,y) = (-4,-3) + t(2,3)

x = -4 + 2t

y = -3 + 3t

Calculate Symmetric Equations:

x - x0

z

 

y - y0

b

Plugging in our numbers, we get:

x - -4

2

 

y - -3

3

Step-by-step explanation:

The distance between (-4, -3) and (-2, 0) rounded to the nearest tenth is approximately 3.6 units.

What is coordinate geometry?

A coordinate plane is a 2D plane created by the junction of the x-axis and y-axis, two perpendicular lines. A coordinate system in geometry is a way to use one or more integers or coordinates to determine the positions of the points.

The distance between two points (x1, y1) and (x2, y2) in a 2-dimensional plane is given by the distance formula:

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

Using this formula, we can find the distance between (-4, -3) and (-2, 0) as follows:

D = √ [ ( 0 + 3)² + (-2 + 4 )² ]

D= √(2² + 3²)

D = √(13)

D ≈ 3.6

Therefore, the distance between (-4, -3) and (-2, 0) rounded to the nearest tenth is approximately 3.6 units.

To know more about coordinate geometry follow

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can someone please help me with this question

Answers

Answer:

1.9.75x> 195

2.9.75x> 195

9.75/9.75x>195/9.75

x>20hrs

please helppppppppppppppppppppppp

Answers

Just multiples them , and after you will get an answe

Jeff has 242 DVDs. He has 2 shelves that can each hold 120 DVDs. Does he need to buy another shelf

Answers

Answer:

Here's my way

Step-by-step explanation:

he has 242, and 2 shelves for 120

120 + 120 = 240,

which leaves 2 off.

so, either you can put:

"Yes, because he has 2 remaining" (Not recommended)

Or

"No, because he put 240 on the shelves , he can put the other 2 somewhere else" (Recommended)

What is 12/5 turned into a mixed number

Answers

Answer: 2 2/5

Step-by-step explanation:

Denominator stays the same, divide 12 and 5, remainder at the top

help pls rn is all in the picture

Answers

Answer:

q is -3

Step-by-step explanation:

collect like terms 12 moves to the other side

81/q = -27

q is 81/-27

therefore the answer is -3

Answer:

-9

Step-by-step explanation:

[tex]\frac{81}{q}>-39+12=-27\\81>-27 q\\q<-81/27\\q<-3\\[/tex]

so the answer is -9

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