-14 < 7x < 21
Solve the compound iniquity and graph it’s solution.

Answers

Answer 1

Answer:

-2 < x < 3

Step-by-step explanation:

-14 < 7x < 21

Divide all three sides by 7 :

[tex]-14 < 7x < 21[/tex]

[tex]\Longleftrightarrow \frac{-14}{7} < \frac{7x}{7} < \frac{21}{7}[/tex]

[tex]\Longleftrightarrow -2 < x < 3[/tex]

The solution in interval notation (-2 , 3)

 -14 &lt; 7x &lt; 21Solve The Compound Iniquity And Graph Its Solution.

Related Questions

!!NEED HELP!!
The formula a subscript n = 10 - 4n describes an arithmetic sequence. What are the first four
terms in the sequence?

A)6, 2, -2,-6

B) 6,2,0,-2

C)10, 6, 2,-2

D)14, 18, 22, 26

Answers

Answer:

A)6, 2, -2,-6

Step-by-step explanation:

a(n) = a +(n-1)d

a(n) = a +dn-d

a(n) = a-d + dn

a(n) = 10 - 4n

So d=-4

to get a: (a-d)=10

             a=10-4=6

The first four  terms:

a(1) = 6 +(1-1)-4=6

a(2) = 6 +(2-1)-4=2

a(3) = 6 +(3-1)-4=-2

a(4) = 6 +(4-1)-4=-6

it will be A

hope this helps

what is 12 34/100 written in standard form?

Answers

Answer:

12 17/50

Step-by-step explanation:

Divide the numerator and denominator by 2 to get 12 17/50 which is in standard form.

The 17 and 50 can not be simplified anymore so it is in its simpliest form (standard form).

Standard form definition: A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers.

Co-prime numbers definition: Co-prime numbers are those numbers that have only one common factor, namely 1.

Hope this helps :)

Sarah paid $1,932 in tax on her new car

which had a purchase price of $80,500.

Which other car tax & price

varies directly with hers?

A) Purchase Price = $68,000 & Tax = $1,020

B) Purchase Price = $92,000 & Tax = $2,760

C) Purchase Price = $75,000 ¢ Tax = $1,350

D) Purchase Price = $85,000 & Tax = $2,040

Answers

Answer: D. Purchase Price = $85,000 & Tax = $2,040

Step-by-step explanation:

From the question, Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500. The constant of proportionality here will be:

= $80500 / $1932

= 41.67

The options that varies directly with the above will be:

A. Purchase Price = $68,000 & Tax = $1,020

Constant of proportionality

= $68000 / $1020 = 66.67

B) Purchase Price = $92,000 & Tax = $2,760

Constant of proportionality:

= $92000 / $2760

= 33.33

C) Purchase Price = $75,000, Tax = $1,350

Constant of proportionality:

= $75000 / $1350

= 55.56

D) Purchase Price = $85,000 & Tax = $2,040

Constant of proportionality:

= 85000 / 2040

= 41.67

Based on the calculation, we can see.that option D has thesame constant of proportionality with the figure calculated.

Which way will water move in this example shown below?








The water will not move

Water will move into the cell

The water will evaporate

The water will move out of the cell

Answers

Answer: it will move down.

Step-by-step explanation:

because of gravity.

A recipe uses 1/3 cup of flour and 1/8 cup of sugar.How much flour and sugar does the recipe use altogether?

Answers

Answer:

11/24

Step-by-step explanation:

Just add 1/3 and 1/8 to get the answer. To add or subtract any pair of fractions they must have the same denominator. To change them, find the least common multiple of the two denominators (3 and 8). The least common multiple of 3 and 8 is 24. Now multiply the denominator by a number that’ll make it into the least common multiple. The 3 in 1/3 should be multiplied by 8 to make it into 24. The 8 in 1/8 should be multiplied by 3 to make into 24. The number that you use to multiply each denominator should also be used to multiply the numerator of that fraction. 1/3 for example, becomes 8/24. 1/8 becomes 3/24. Finally add the numerators of both numbers and keep the same denominator which equals 11/24.

Find the constant rate of change from the table

Answers

Answer:

going on by 2 every

Step-by-step explanation:

adding 2 everytime going down

Helppp plss I will give 40 points

Answers

Answer: 108

Step-by-step explanation: The equation to find the surface area of a square pyramid is s^2+2*s*l.

The area of the square base is equal to s2

The area of one triangle is equal to (s × l)/2

The slant height of a square pyramid equals (l)

Since there are 4 triangles, the area is 4 × (s × l)/2 equals 2 × s × l

Therefore, the surface area, call it SA is Surface Area (SA)=  s2

 +  2 × s × l

so if you plug in the numbers you get 6^2+2*6*6 which equals 108

Answer:

The Answer is 108 feet squared.

Square Surface Area-

A= LxW

A= 6x6

A= 36

Triangle Surface Area-

A= 1/2 bh

A= 1/2 6x6

A = 1/2×36

A= 18

Since there are 4 Triangle multiple 18×4= 72

so... 72+36= 108

BOOM!! LOL

a box of cereal should have a mass of 397 g the quality control inspector measures the mass of every fiftieth box the inspector rejects any box that is not within 10 g of the ideal mass

Answers

I wish I could help but I’m looking for an answer to my question :( sorry

how to solve this 2x+x-4y

Answers

Answer:

Combine like terms

2 + − 4

3x − 4y

Answer:

[tex]3x-4y[/tex]

Step-by-step explanation:

[tex]2x+x-4y[/tex]

If a term doesn't have a coefficient , it is considered that the coefficient is 1

[tex]2x+1x-4y[/tex]

Why is it considered that the coefficient is 1?

Remember that any term multiplied by 1 remains the same:

[tex]1.x=x[/tex]

Step 1

The equality can be read in the other way as well , so any term can be written as a product of 1 and itself:

[tex]x=1 . X \\[/tex]

Step 2

Usually, we don't need to write multiplication sign between the coefficient and the variable , so the simpler form is:

[tex]x=1x[/tex]

That is why we can write the term without the coefficient as a term with coefficient 1.

Let's go back to your problem now

Collect like terms by adding their coefficients

[tex](2+1)x-4y[/tex]

Add the numbers

[tex]3x-4y[/tex]

PLEASE MARK ME AS BRAINLIEST

What is the slope of the line ?

Answers

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-4, -4)

Point (1, 4)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{4+4}{1+4}[/tex]Add:                                                          [tex]m=\frac{8}{5}[/tex]

Jenny earned 104 of a possible 140 points on a test. She lost 4 points for each incorrect answer. How many incorrect answers did she have? PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Jenny had 9 incorrect answers.

Step-by-step explanation:

We know that Jenny earned 104 of a possible 140 points on a test.

140 - 104 = 36

We also know that she lost 4 points for every incorrect answer.

36 ÷ 4 = 9

Therefore, Jenny had 9 incorrect answers.

Hope this helps! :D

Answer:

9 questions incorrect

Step-by-step explanation:

Make an Equation

104+x(4)=140

X is for incorrect answers and since each incorrect answer is Worth 4, multiply x by 4. The 104 is the point Jenny orignally got so we put that in the equation to find how many Incorrect she got.

Solve the equation

104+4x=140 Subtract 104 on both sides

4x=36   Divide 4 on both sides

x=9   X=9

Which type of transformation is describe by (x,y) and (x+2,y+3)?

Answers

Answer:

fing the variable that is what u need

Graph a line that contains the point (6,-5) and has a slope of -2/3

Answers

Answer:

The line to graph is y=-[tex]\frac{2}{3}[/tex] -1

Step-by-step explanation:

In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).

1. Plug info into point-slope form:

y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)

2. Simplify:

y+5=-[tex]\frac{2}{3}[/tex] x+4

3. Simplify even further:

y=-[tex]\frac{2}{3}[/tex] -1

To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.

what is the upper and lower bound of 0.82

Answers

Answer:

What ?

Step-by-step explanation:

Whatttt huh didnt ybderstand has

what is 3n - (2+n) if N is equal to 6?

Answers

Answer:

22

Step-by-step explanation:

but be more especific

A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.

How many more pieces of wire than pieces rope will there be?

Answers

Answer:

that will be 40(wire)-12(rope)=28parts

Step-by-step explanation:

6meter wire div by 0.15 eq to 40

3meter rope div 0.25 eq to 12

so we use 40-12=28parts

As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal. A) How much does popcorn cost per ounce? The cost per ounce is dollars. B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar. C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is

Answers

Answer:

A. $0.25 per ounce

B. 4 ounces per dollar

Step-by-step explanation:

As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.

A) How much does popcorn cost per ounce? The cost per ounce is dollars.

10 ounces of spicy popcorn = $2.50

1 ounce of spicy popcorn = x

Cross Multiply

10 ounces × x = $2.50

x = $2.50/10 ounces

x = $0.25 per ounce

B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar.

$2.50 = 10 ounces of spicy popcorn

$1 = x ounce of spicy popcorn

Cross Multiply

$2.50 × x = 10

x = 10/2.50

x = 4 ounces per dollar

C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is

Please Help!!
7 times a number minus the number is -48 find the number

Answers

7 • x - x = -48. the number is -8!

The interior angle of a regular polygon
is 14 times larger than the exterior
angle.
How many sides does the polygon
have??

Answers

Hope this helped
ask questions if you have any :)

How does a percent relate to a proportion? Drag the words to complete the explanation.
Each word may be used once or not at all.
variable, part, whole, constant
A percent is a --------- of proportionality describing the----------- of the ----------
how ever answers this is relly smart and pls answer it correct and i will give him brainlist

Answers

Answer:

A percent is a constant of proportionality describing the part of the whole

Please help me please

Answers

It is reflected over the x-axis and rotated 90 degrees.

which one is it??? plz answer fastttttttt

Answers

Answer:

The last one (8.6x10^-2)

the answer is 9.9 * 10^-5

Three positive integers have a mean of 4 and a range of 7. Find the three numbers.​

Answers

The three positive integers are estimated as (6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).

What is defined as the positive integers?

Positive integers are integers that would be on the right side of 0 on a number line. These integers have a value greater than zero.

Natural numbers are another word for positive integers.Natural numbers are positive counting numbers (1, 2, 3, 4,...). The whole numbers are obtained by adding the number 0 to the natural numbers (0, 1, 2, 3, ...). Integers include 0 as well as the natural numbers and their inverses: (..., -3, -2, -1, 0, 1, 2, 3, ...).

Now, as per the given question;

Let the three number be a, b and c.

The range of the number are given as 7.

Then,

(0 < a < 7), (0 < b < 7) and (0 < c < 7)

The mean of the number is defined as 4.

Thus,

(a + b + c)/3 = 4

So, (a + b + c) = 12.

Now, apply the Enumeration method;

Case 1: If a = 6 (a < 0), then (b + c) = 6. This, is possible for the set,

a = 6, b = 1 and c = 5. ora = 6, b = 2 and c = 4. ora = 6, b = 3 and c = 3.

Case 2: If a = 5 (a < 7), then (b + c) = 7. This is possible for the set,

a = 5, b = 1 and c = 6. ora = 5, b = 2 and c = 5. ora = 5, b = 3 and c = 4.

Therefore, the given three positive integers could be;

(6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).

To know more about positive integers, here

https://brainly.com/question/1367050

#SPJ9

Compare the twentieth entries in each list of numbers. Which list has the largest twentieth number?

A. −8, −5, −2, 1, …
B. −12, −11, −10, −9, …
C. −13, −11, −9, −7, …
D. −16, −11, −6, −1, …

Answers

Answer:c

Step-by-step explanation:

Please, giving all my points.
Combine and Simplify 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)
WRITE 2 WAYS

Answers

Answer: -4x-34y-32

(I think this is right but I am not completely sure... if its not I am sorry :/ )

Step-by-step explanation:

First Way:

48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)

48[(6/24x-8/24x)-(8/24y+9/24y)-2/3]

48(-2/24x-17/24y-2/3)

48(-1/12x-17/24y-2/3)

-4x-34y-32

Second Way:

48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)

12x-16y-16x-18y-32

-4x-34y-32

As an estimation we are told 5 miles is 8 km.
Convert 57.5 miles to km.

Answers

Answer:

5 miles=8km

1miles=8/5=1.6km

57.5 miles=(57.5×1.6)km

=92km

A clothing factory produces 4 boxes of jackets every 3 days. At this rate, how long will it take the factory to produce 24 boxes of jackets? brainliest can be given if your quick!

Answers

Answer:

6 days to produce

Step-by-step explanation:

24÷4=6 days

The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.

Calculation of the no of days:

Since A clothing factory produces 4 boxes of jackets every 3 days.

Here the number of days should be

[tex]= 24\div 4[/tex]

= 6 days

Therefore, The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.

Learn more about number here: https://brainly.com/question/2472437

PLEASE HELP FAST! Solve for Y in the following system of equations!
X-y=-1
3x+5y=21
A.) 2
B.) 3
C.) 9
D.) 12

Answers

Answer:

B.) 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - y = -1

3x + 5y = 21

Step 2: Rewrite Systems

x - y = -1

Add y to both sides:                    x = y - 1

Step 3: Redefine Systems

x = y - 1

3x + 5y = 21

Step 4: Solve for y

Substitution

Substitute in x:                              3(y - 1) + 5y = 21Distribute 3:                                   3y - 3 + 5y = 21Combine like terms:                     8y - 3 = 21Add 3 to both sides:                     8y = 24Divide 8 on both sides:                y = 3

Which of the following correctly uses Distributive Property of Multiplication to evaluate the expression 4(a+4)?

Answers

Answer: 4a + 16

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x

Answers

Answer:

7

Step-by-step explanation:

The angles that we are sure about is 33 and 90. The angles of a triangle add up to 180. 33 + 90 = 123. 180 - 123 = 57. 57 = 7x+8, 49 = 7x, x = 7.

Answer:

x = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set Up Equation

33° + 90° + (7x + 8)° = 180°

Step 2: Solve for x

Combine like terms:                    7x + 131 = 180Isolate x term:                              7x = 49Isolate x:                                       x = 7
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rationalize the denominator of 3/43 please give me answer Consider the number lines shown below which shows jump from one number to another. There are four different arrows, starting from the number . Match the number lines given in the first column with the correct mathematical expression that results in the number on the other side of the arrow. Number line 1 Number line 2 Number line 3 Number line 4 Number line 1 Number line 2 Number line 3 Number line 4 DRAG & DROP THE ANSWER 4520+5-45-20+54520+5 45+10+5-45+10+545+10+5 45+3020-45+30-2045+3020 45+3515-45+35-1545+3515 PLS HELP QUICK!!!!Read the following scenario:A cell phone company is launching a brand new state-of-the-art smart phone. This phone has the latest wireless communicationstechnology built into its system. The phone is loaded with new apps and special devices that enhance speed and efficient Internet use.Which of the following can a consumer most likely expect with the unveiling of this new product?increases in the cost of services from providersincreased value of older smart phone modelsO increase in sound qualityO decrease in the creation of competing apps Yesterday I drank 16 cups of coffee. Today I drank 82% more cups. How many cups of coffee did I drink today? which ones are right Going outside the earth's atmosphere to see more clearly.Group of answer choicescorrect sentencesentence fragmentrun-on sentence Evaluate. 1 1/24A. 2 1/2B. 12/2C. 3/8D. 6 -8(6x+12)=-32x-24 SHOW YOUR WORK PLS whats x A ball is thrown from an initial height of 4 feet with an initial upward velocity of 30ft/s. The balls height h (in feet) after t seconds is given by the following. H=4+30t-16t^2n After people arrived in North America, what is a likely reason theymoved south rather than staying near the land bridge? 4x+5x2what is x? (picture included) brainliest which factor most contributed to the united states decision to enter world war l How did Mirabeau B. Lamar's calvary help at the Battle at San Jacinto?a. They showed the Texans where the Mexican army was camped.b. They brought supplies for the Texan soldiers camped at San Jacinto.c. They showed the Mexican soldiers where to hided. They cut off the escape route of the Mexican army for the Texans 12.Which event occurs in prophase I of meiosis, but not prophase of mitosis?a. Sister chromatids separate and move to opposite poles.b. All chromosomes line up in a single row at the center of the cell.c. Homologous pairs separate and move towards opposite poles of the cell.d. Homologous chromosomes pair to form a tetrad, and may cross over. WHAT DOES HUAC STAND FOR? steven has 5 more marbles than jon has, suppose s is the number of marbles that steven has, and j is the number of marbles that jon has. a. write an equation to describe how many marbles steven has. b. write a different equation to describe how many marbles jon has. Please help!!! I need anybody help who knows the answer. Iron(III) oxide is formed when iron combines with oxygen in the air.How many grams of Fe203 are formed when 6.7 g of Fe reacts completely with oxygen?Fe + 02 --> Fe203 (unbalanced equation) When Jose installs a new app on his phone, it creates a square icon on his home screen. The square starts withside lengths of 1 cm. The side lengths grow by 2.8 cm each second until the square reaches its maximum size.What is the perimeter of the square after 1.5 seconds? Recall that the perimeter of a shape is the sum of its sidelengths.O16.8 centimetersO 19.2 centimetersO 20.8 centimetersO 29.2 centimetersLo