-6<2x+8<16 compound inequality

Answers

Answer 1

Answer:

- 7 < x < 4

Step-by-step explanation:

- 6 < 2x + 8 < 16 ( subtract 8 from each interval )

- 14 < 2x < 8 ( divide each interval by 2 )

- 7 < x < 8


Related Questions

Complete the steps to find the sum. What is the sum? –7g4 4g3 – 3g2 5g – 3 –4g4 – 3g3 4g2 5g 3 –4g4 4g2 14g – 6 –3g4 14g – 6.

Answers

The sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].

Given polynomials are:

[tex]1)g^2-4g^4+5g+9\\\\2)-3g^3+3g^2-6[/tex]

What is a polynomial?

A polynomial is an algebraic expression that constitutes monomials of the form ax^n where n is a whole number.

The sum of expressions is

[tex]g^2-4g^4+5g+9-3g^3+3g^2-6[/tex]

Now, add monomials having similar exponents, like if monomial is like [tex]g^2[/tex] add it with another monomial having a term [tex]g^2[/tex] and do the same for other monomials.

[tex]g^2 + 3g^2 -4g^4+5g-3g^3+9-6[/tex]

[tex]4g^2-4g^4+5g-3g^3+3[/tex]

Therefore, the sum of given polynomials is [tex]4g^2-4g^4+5g-3g^3+3[/tex].

To get more about polynomials visit:

https://brainly.com/question/2833285

Answer:

B

Step-by-step explanation:

hii the lateral surface area of a cube is 256 m cube . find the volume of the cube

Answers

Answer:

512cm3

Step-by-step explanation:

A lateral surface area of a cube is 256 m2. Find its volume.

A cube is a three-dimensional shape that is made up of 6 congruent square faces.

Answer: If the lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters.

The lateral area of a cube is the sum of areas of all side faces of the cube

Explanation:

The lateral surface area (LSA) of the cube = sum of areas of all 4 side faces.

Let the edge length of the cube be x.

LSA = x2 + x2 + x2 + x2 = 4x2

Given that, LSA of the cube is 256 m2

4x2 = 256

x2 = 256/4

x2 = 64

x = 8

Length of edge of the given cube is 8 m.

The volume of a cube is x3.

The volume of cube = x3 = 83 = 512 m3

Thus, the volume of the given cube is 512 m3.

The volume of the given cube is 512 m³.

What is volume of cube?

The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.

Given that, the lateral surface area of a cube is 256 m cube.

We know that, the formula to find lateral surface area of a cube is 4a², where a is edge of a cube

Now, 4a²=256

a²=64

a=8 m

The formula to find the volume of a cube is a³, where a is edge of a cube.

Thus, volume of a cube =8³ =512 m³

Therefore, the volume of a cube is 512 m³.

Learn more about the volume of a cube here:

https://brainly.com/question/11168779.

#SPJ2

At the book store you purchased some $5 clearance mystery books and $12 regular priced science fiction books how many of each did you buy if you spent a total of $126?
5 mystery and 9 sci-fi
6 mystery and 8 sic-fi
7 mystery and 7 sci-fi
8 mystery and 6 sci-fi

Answers

Answer:
To find the answer to this question, we have to multiply the number of books by the price, then add the prices together. I did this, but it seemed that none of the answer choices are correct. Make sure you included all important information that we need to answer the question.

Step-by-step explanation:

is -17/-40 equal to -0.425

Answers

[tex]\left[Hello,Dejanafryer23][/tex]

Answer:

No

Step-by-step explanation:

To Find if -17/-40 equal to -0.425...

We First have to turn -17/-40 into a decimal;

-17/-40 = 0.425 { Negative + Negative = Positive }

Thus,

0.425 > -0.425

Hence, Answer is -17/-40 is Not equal to -0.425

[RevyBreeze]

20 points!!!!!
Solve by using the zero product property to solve y = x^2-4x-21 for its zeroes?
Explain in a short paragraph.

Answers

Answer:

  x = -3 or 7

Step-by-step explanation:

The zero product property tells you a product will be zero if and only if a factor is zero. This property is used to find the zeros of polynomial functions by factoring them, then considering the variable values that make the factors zero. The zero of a monic linear binomial factor will be the opposite of the constant in that binomial.

__

The factored form of the given polynomial is ...

  y = (x -7)(x +3)

The values of x that make these factors zero are ...

  x -7 = 0   ⇒   x = 7

  x +3 = 0   ⇒   x = -3

The zeros of the polynomial function are x = -3, and x = 7.

Factor completely 2x^2 + 4x - 2​

Answers

Answer:

if i were to factor this would be the solution

2(x^2+2x-1)

What is this question?

Answers

Answer:

so its saying ummm write x with < or > or the other ones but with equal on the bottom

i think the answer here would be x < 5

Step-by-step explanation:

because it cannot be equal to 5 since the circle is hollow. also x just goes to the number less than 5

helppppppppppppp:))))

Answers

Please mark my answer the brainliest and rate me 5 star and follow me.

please please please please please please

4. April took out a $600 loan from the
bank. At the end of 5 years, she pays
back the principal, plus $60 simple
interest. What was the interest rate?
7. Cora's
weigh
thev
perc
rou
1 of 2
Assessment, Form A

Answers

Answer:

60/600=.1

.1/5=.02=2% interest rate over 5 years

Find the length of the hypotenuse round to the nearest hundredth

Answers

Answer:

[tex]\displaystyle 4\sqrt{5}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 4^2 = c^2; \sqrt{80} = \sqrt{c^2} \\ \\ 4\sqrt{5}\:[or\:8,94427191...] = b[/tex]

So, you have this:

[tex]\displaystyle 8,94 ≈ c[/tex]

I am joyous to assist you at any time.

Solve the system of equations - 8x - 8y = 0 and -5x – 7y= -12 by combining
the equations

Answers

Answer:

y=-12/15-13/15x

Step-by-step explanation:

find the value x from the diagram below and then find M ∠ ABC

Answers

Answer:

Answer:  x = [tex]\frac{25}{6}[/tex]

              ∠ABC = 53°

Step-by-step explanation:

Solution In given triangle, 2B=12x+3

12x+3

∠A = 86 , ∠C = 43°

We know that, Sum of all angles of triangle is 180°

86

∴ ∠A+ ∠B + ∠C = 180°

a

86 + 12x+3+ 43 = 180°

4-3

12x = 180° - 130

X = [tex]\frac{50}{12}[/tex] x = [tex]\frac{25}{6}[/tex]

с

∠ABC = 12x + 3 = [tex]\frac{12}{6}[/tex]x25 +3 → 50+3 = 53

The solids are similar. Find the volume V of the red solid,
7 mm
7 mm
21 mm
21 mm
Volume = 5292 mm
V
mm

Answers

Answer:

1764

.

.

.................

....

Solve for all values of x by factoring x2-8x-6=-6

Answers

Answer:

Step-by-step explanation:

2−8−6=−6x2−8x−6=−62−8−6−(−6)=0x2−8x−6−(−6)= 02Add the numbers3Use the quadratic formula3 more stepsSolution=8=0

Answer:

[tex]x=0,8[/tex]

Step-by-step explanation:

[tex]x^2-8x-6=-6[/tex] ( Cancel 6 from both sides)

[tex]x^2-8x=0[/tex] ( Factor out the common term x)

[tex]x(x-8)=0[/tex]

[tex]x=0\: or\:x-8=0[/tex]

let's solve the equations

[tex]x-8=0\\x-8+8=0+8\\x=8[/tex]

[tex]x=0[/tex]

Therefore, x=0,8

~

A cylindrical milk storage tank needs to be built to hold 84.78 cubic feet of milk. The foundation for the tank has already been poured out of 6 foot thick concrete. The radius of the tank will be 3 feet. What is the minium height that the tank can be (in feet)?

Answers

Answer:

3 or 2.999 (probably 3)

Step-by-step explanation:

So the volume of a cylinder =  πr^2 * h

h = height

r = radius

now we know the radius. Leaving us with a simple equation which is:

π*9*h = 9π*h = 84.78 =

π*h = 9.42

h = 9.42 / π = 2.99847912785......

but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.

Reference my work if you're are confused, however, it's really messy so sorry about that.

suppose ice cream cones were sold on Saturday and were sold on Sunday. What is the 8 + 25 7x − 9 total number of ice cream cones sold?

Answers

Answer:

is a figure giving a long side right in names the point and lines

What is 4. 9 ft rounded to the nearest tenth of a cubic foot

Answers

i would want to say 10 i believe

The relationship between the total distance traveled in miles, y, and time, in hours, x, can be described by the equation y=65x. What is the constant of proportionality?

Answers

The constant is 65 because you are always going 65 miles per hour according to this equation

The radius of a circle is 7.9 ft. Find the circumference \to the nearest tenth to the nearest tenth.

Answers

Answer:

49.6 ft.

Step-by-step explanation:

The formula for circumference is 2πr, so just plug the radius into the formula.

2*π*7.9=49.637 ft

Round that to the nearest tenth to get 49.6 ft.

the lengths of the sides of a triangle are in the extended ratio 7:8:9 the perimeter of the triangle is 96cm. what are the lengths of the sides?

Answers

Answer:

28 cm, 32cm , 36cm

Step-by-step explanation:

Given:

The lengths of the sides of a triangle are in the ratio 7:8:9Perimeter of triangle is 96cm

To Find:

The lengths of the sides of triangle?

Solution:

Let:

1st side = 7x 2nd side = 8x 3rd side = 9x

As, we know that,

Perimeter of Triangle = Sum of all sides

➝ 7x + 8x + 9x = 96cm

➝ 24x = 96cm

➮ x = 96/24

➮ x = 4

So, length of the sides are:

7x = 7 × 4 ➝ 28cm

8x = 8 × 4 ➝ 32cm

9x = 9 × 4 ➝ 36cm

Given :

The length of the sides of the triangle are in the ratio 7:8:9 .The Perimeter of the Triangle is 96 cm.

To Find :

The length of the sides of the triangle.

Solution :

Let us assume the sides be 7x cm, 8x cm and 9x cm.

We know,

[tex]\qquad{ \bold{ \pmb{Sum \: of \: all \: sides \: of \: the \: triangle = Perimeter_{(Triangle)}}}}

[/tex]

So, Substituting the values :

[tex]\qquad { \dashrightarrow{ \sf{7x + 8x + 9x = 96}}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{24x= 96}}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ \dfrac{24x}{24} = \dfrac{96}{24} }}}[/tex]

[tex]\qquad { \dashrightarrow{ \bf{ x = 4 }}}[/tex]

Therefore,

The length of the sides of the triangle are :

[tex]\qquad { \dashrightarrow{ \sf{ 7x \: cm= 7 \times 4 \: cm = \bf \: 28 \: cm }}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ 8x \: cm= 8 \times 4 \: cm = \bf \: 32 \: cm }}}[/tex]

[tex]\qquad { \dashrightarrow{ \sf{ 9x \: cm= 9 \times 4 \: cm = \bf \: 36 \: cm }}}[/tex]

Use the formula d= rt. Find tfor r= 2.3 cm/s and d=596.39 cm.

Answers

Answer:

t = 259.3

Step-by-step explanation:

d = rt ( divide both sides by r )

[tex]\frac{d}{r}[/tex] = t ( substitute values for d and r )

[tex]\frac{596.39}{2.3}[/tex] = t , then

t = 259.3

send help please!! i want to complete it asap

Answers

It’s a little complicated but here’s how it works:
Imagine a table with the intervals
0:4 , 4:6 , 6:7 , 7:10 , 10:13 (10 year intervals)
Then we have different rows
Class width: 4 , 2 , 1 , 3 , 3
Freq density: 0.2 , 0.5 , 1.2 , 0.7 , 0.3
So now calculate frequency where freq = class width * density
Freq: 0.8 , 1 , 3.6 , 2.1 , 0.9
So to find median find cumulative frequency
(Add all freq)
Cfreq = 8.4 now divide by 2 = 4.2
So find the interval where 4.2 lies.
0.8 + 1 = 1.8 + 3.6 = 5.6

So 4.2 (median) will lie in that interval 60-70 years.

Daniel has $100. After he buys 4 pencils and 3 pens, he has $7 left. If each pencil costs $3 more than each pen, is $25 enough to buy 2 pens?

Answers

Answer:  Yes, Daniel has enough money to buy 2 pens.

=========================================================

Explanation:

x = cost of one pencil

y = cost of one pen

4x = cost of 4 pencils

3y = cost of 3 pens

4x+3y = cost of 4 pencils and 3 pens

100 - (4x+3y) = amount Daniel has left = 7 dollars

100-(4x+3y) = 7 is one equation we can form

Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".

Let's plug that into the first equation and solve for y.

100-(4x+3y) = 7

100-(4(y+3)+3y) = 7

100 - (4y+12+3y) = 7

100 - (7y+12) = 7

100 - 7y - 12 = 7

-7y + 88 = 7

-7y = 7-88

-7y = -81

y = -81/(-7)

y = 11.57 is the cost of one pen

2y = 2*11.57 = 23.14 is the cost of two pens.

Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.

One way to convert from inches to centimeters is to multiply the number of inches by 2.54, How many centimeters are there in ⅕ inch?




WILL GIVE BRAINLIEST

Answers

Answer:

  0.508 cm

Step-by-step explanation:

Your problem statement tells you that you can find the number of centimeters by multiplying 1/5 inch by 2.54 cm/in:

  1/5 × 2.54 = 0.508

1/5 inch is 0.508 centimeters

Pls help with this Find the circumference of the object. Use $3.14 or 22/7 for Pi. Round to the nearest hundredth if necessary.

Answers

Answer: Plese mark brainlest

the circumference is 12.56meters squared

Step-by-step explanation:

Mr. And Mrs. Lorenzo want to buy a home valued at $213,500. If they have 18% of this amount saved for a down payment, how much have they saved? a. $384. 30 b. $3,843. 00 c. $38,043. 00 d. $38,430. 0.

Answers

Answer:

D- 38,430

Step-by-step explanation:

To find 18% of 213.5k, we need to convert 18% back into its decimal form (0.18), then multiply it by 213.5k and boom! there is your answer.

please do the work thats all i need 50 points

Answers

Answer: i think it is -6 but im not sure I never learned this

Step-by-step explanation:

Step-by-step explanation:

Recursive Rule would get by just carefully analysing the pattern and common difference.

a1 = 0 ,

d = a2-a1 ==> d = -3-0 ==> d = -3 ...(common difference)

so here, an would be,

an = a1 + (n-1) d

==> an = 0 + (n-1)(- 3)

==> an = -3(n-1)

==> an = -3n+3

so the final answer is [an = -3n + 3 ]

Use the distributive property to write an equivalent expression.

12(4n+10). ASAP, thank you.

Answers

Answer: 48n + 120

Step-by-step explanation:

12(4n+10)

12(4n) + 12(10)

48n + 120

Suspensions require active mixing to stay suspended

Answers

Answer:

any other part of the question?

Step-by-step explanation:

You open a brand-new savings account January 1, 2021. Every paycheck you earn you deposit $25 into a savings account, and you never make any withdrawals from this account. Your savings account makes 0.01% interest and is compounded monthly. Assuming you get paid every two weeks (twice a month) how much money will you have at the end of the year?

Answers

The amount of money that you will have at the end of the year from your brand-new savings account is $600.69.

What is future value?

The future value is the value of periodic cash flows in the future.  It can be computed using an online finance calculator as follows:

Data and Calculations:

N (# of periods) = 24 (12 X 2)

I/Y (Interest per year) = 0.12% (0.01% X 12)

PV (Present Value) = $0

PMT (Periodic Payment) = $25

Results:

FV = $600.69

Sum of all periodic payments = $600.00 ($25 X 24)

Total Interest = $0.69

Thus, the amount of money that you will have at the end of the year from your brand-new savings account is $600.69.

Learn more about future values at https://brainly.com/question/24703884

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