10.
Solve the inequality.

–8 ≤ 2x – 4 < 4


A. –2 ≤ x < 4


B. –6 ≤ x < –2


C. –2 ≤ x < 0


D. 0 ≤ x < 6

Answers

Answer 1

Answer:

The Answer is A

Step-by-step explanation:

-8 < 2x-4<4

2x-4<4

-8+4< (2x-4)+4

(2x-4)+4 <4+4

In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them.

2x-4<4 In order to solve this linear inequality, we need to group all the variable terms on one side, and all the constant terms on the other side of the inequality.

For example,

- term -4 , will be moved to the left side.

Notice that a term changes sign when it 'moves' from one side of the inequality to the other.

The result is:

A

Answer 2

Answer: A

Step-by-step explanation:

-8 < 2x-4<4

2x-4<4

-8+4< (2x-4)+4

(2x-4)+4 <4+4

In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them.

2x-4<4 In order to solve this linear inequality, we need to group all the variable terms on one side, and all the constant terms on the other side of the inequality.

For example,

- term -4 , will be moved to the left side.

Notice that a term changes sign when it 'moves' from one side of the inequality to the other.

The result is:

A


Related Questions

Beatrice sold a house for 225000 and makes 7.5% commission. How much does she make for the sale?
A) 1687.50
B) 16,875
C) 168,750
D) 1,687,500

Answers

7.5% x 225000
She makes 16875 commission

Colin is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 264-yard warmup and then swim laps in a lane that is 34 yards long. If Colin swims at the indoor pool at his gym, he will complete a 120-yard warmup, plus a main set that consists of 35 yards per lap. If Colin swims the correct number of laps, he can complete the same distance in either pool. How long will Colin's workout be in total? How many laps will that take?

Answers

Answer:

Jason is training for a triathlon and needs to swim a certain distance for ... If he swims at the rec center pool, he will complete a 200-yard warmup and then swim laps in a lane that is 20 yards long. If Jason swims at the indoor pool at his gym, he will complete a ... How long will Jason's workout be in total? 1.

Step-by-step explanation:

Guys help me plsss :((((

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

if g(x)=11x+3 find g(x+7) and g(x)+g(7).

Answers

Answer:

g(x + 7) = 11x + 80

g(x) + g(7) = 11x + 83

Step-by-step explanation:

g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80

g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83

2. At Best Buy, two flash drives and one new mouse for your
computer cost $55.00. How much does one flash drive cost?
(Mouse cost 22.00)

Answers

Answer:

I believe one flash drive would cost $16.50.

Step-by-step explanation:

55=2x+22

-22       -22

33=2x

/2    /2

16.50=x

Hope this helps! Have an Amazing day!!

Colton sold a total of 28 tee shirts and sweatshirts as a fundraiser for his football team. If tee shirts cost 12 dollars each and sweatshirts cost 20 dollars each and he raised a total of 424 dollars how many tee shirts did he sell?

Answers

Answer:

11 sweatshirts and 17 t shirts

Step-by-step explanation:

[tex]t + s = 28\\12t = 20s = 424[/tex]

Step one: cancel out one variable. In this one, t.

[tex]-12(t + s = 28)\\-12t -12s =-336[/tex]

Now that we have that, subtract that from the other expression.

[tex]12t + 20s = 424\\-12t -12s = 336[/tex]

You should get:

[tex]8s = 88\\ s = 11[/tex]

Plug s in any expression

[tex]t + 11 = 28[/tex]

You should know where to go from there, I'm lazy :p

Then t = 17

GOod Luck!!!!

during a huge snowstorm in the White Mountains last year it snowed 66.5 cm in one day how much did it snow in meters?​

Answers

Answer: It snowed 0.665 meters

hope this helps! :)

Answer:

Step-by-step explanation:

61.5cm= (6.15/100)m = .615m

Eight people go to a movie. Adult tickets cost $15 and children's tickets cost $8
The total cost was $85. Write an equation and use it to help you find the numbers of
adults and children who went to the movie.

Answers

Answer: number of adults = 3, number of children = 5

Step-by-step explanation:

let the number of adults be x, and the number of children be y.

x + y = 8 , 15x + 8y = 85

1st equation x 8 = 8x + 8y = 64

[tex]8x+8y-15x-8y = 64 - 85\\-7x = -21\\x=3[/tex]

substitute x=3

[tex]3+y=8\\y=5[/tex]

PLEASE HELP!!! ITS DUE TODAY AND IM THE ONLY ONE WHO NEEDS TO FINISH IT

Answers

Answer:

1. C  2.H  3.G  4.E  5.B  6.D  7.A

Step-by-step explanation:

1. C  

2.H  

3.G  

4.E  

5.B  

6.D  

7.A

Leave a like if this answered your question.

13 added to the product of an integer and negative 7 is 62

Answers

Answer:

Step-by-step explanation:

[tex](x*-7)+13 = 62[/tex]

[tex](x*-7) = 62 - 13[/tex]

[tex]x*-7 = 49[/tex]

[tex]x = 49 / -7[/tex]

[tex]x = -7[/tex]

check work

[tex]((-7)*-7)+13 = 62[/tex]

[tex](49)+13 = 62[/tex]

[tex]62 = 62[/tex]

¿Cuántas cifras tiene el número quinientos cincuenta y cinco mil? Respuesta: ____________ CM DM UM C D U NÚM. DE CIFRAS

Answers

Answer:

6 cifras.

Step-by-step explanation:

Siempre que tengamos un numero que termina en "mil", entonces la primer parte la escribimos y luego ira una coma:

por ejemplo, en "ciento once mil trecientos catorce"

lo separamos en:

"ciento once mil" y "trecientos catorce"

y lo escribimos como:

"ciento once" , "trecientos catorce"

111,314

Ahora que definimos esto, vamos a nuestro problema.

Tenemos el numero "quinientos cincuenta y cinco mil"

El cual podemos escribir como:

555,000

Ahora simplemente podemos contar las cifras, tenemos 6.

las cuales son:

Cientos de miles = CM = 5

Decenas de miles = DM = 5

Un miles = UM = 5

Cientos = C = 0

Decenas = D = 0

Unidades = U = 0

For Bill's birthday his mom is bringing donuts to school.
She has a coupon to get 2 dozen donuts for $8.00.
How much would just one dozen donuts cost at this price?
Let c represent the cost of the donuts.
Equivalent ratios:
One dozen donuts would cost

Answers

One dozen donuts would cost $4.00

Find the area of the triangle.

A. 90m2
B. 67.5m2
C.45m2
D.33m2

Answers

Answer:

Step-by-step explanation:

Answer:

45 m²

Step-by-step explanation:

6 x 15 x 0.5 = 45

PLEASE HELP URGENT!!!!!!!!!!!!

Answers

Answer:

B) 155 sq. cm.

Step-by-step explanation:

225 - 70 = 155 sq. cm.

Answer:

i believe its B.

hope this helps.

its a benchmark, so do your best :)!

What is a simpler form of (3x+1)(x+4) ?

Answers

Answer:

That is the simplest form.

Step-by-step explanation:

[tex]3x^2+13x+4[/tex] = (3x+1)(x+4)

Answer:

The equation is already simplified!

Step-by-step explanation:

credits to the user jlinnartz for pointing out my mistake! kudos to the explanation above!!! :)

Someone help please! <3

Answers

Answer:

I'm pretty sure it's D

Step-by-step explanation:

I could be wrong tho

Find the measure of angle A If Angle A = 2x+18 and angle C = 3x+12

Answers

Answer:

Below in bold.

Step-by-step explanation:

2x + 18 + 3x + 12 = 180  (property of a cyclic quadrilateral).

5x = 180 - 18 -12

5x = 150

x = 30

So m < A = 2(30)+18

= 78 degrees.

Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3

Answers

Answer:

No solution.

Step-by-step explanation:

y = -2x + 1

y = -2x + 3

y can't be equal to two different values at once.

Factor the following polynomial 14x^2 - 35x

Answers

Answer:

The binomial 14[tex]x^{2}[/tex] - 35x can be factored as 7x(2x+5)

Step-by-step explanation:

When factoring, you want to factor each constant or variable by their greatest common factor (or GCF). Since [tex]14x^{2}[/tex] and [tex]35x[/tex] has a greatest common factor of 7x, factor each term by 7x and you'll get [tex]7x(2x+5)[/tex].

what is “four is an even number” in mathematical sentence?

Answers

Answer:

4 is even; 4 can be divided by 2 and the quotient is whole.

Step-by-step explanation:

If a number is even, it can be divided by 2 and the quotient is a whole number. 4 can be divided by 2 and the quotient is whole, so we can say 4 is even.

The given statement is true.

The given statement is “four is an even number”.

What is an even number?

Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2. For example, 2, 4, 6, 8, 10, and so on.

The statement “four is an even number” is true.

Therefore, the given statement is true.

To learn more about an even number visit:

https://brainly.com/question/13015902.

#SPJ1

identify the arc length of TV◠ in terms of π.

Answers

Answer:

3.67

Step-by-step explanation:

HELPPPP ASAPPP

Shane wants to create a patio that is a parallelogram What is the m angle DAB of to ensure the patio is a parallelogram ?

Answers

It is B) 100 degrees.
It might be to late now but I THINK it’s b

Solve the system using elimination show all work for full credit.
X + 3y = -14
4x - 3y = 2
Help me

Answers

is it two separate problems or just you simplify both of the equations together

x = −12/5 and y = −58/15

Step-by-step explanation:

x+3y=−14

4x−3y=2

Add these equations to eliminate y:

5x = −12

Then solve 5x = −12 for x:

5x = −12

5x/5 = −12/5 (Divide both sides by 5)

x = −12/5

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

x + 3y = −14

Substitute −12/5 for x in x + 3y = −14:

−12/5 + 3y = −14

3y + −12/5 = −14

(Simplify both sides of the equation)

3y + −12/5 + 12/5 = −14 + 12/5

(Add 12/5 to both sides)

3y = −58/5

3y/3 = −58/5/3

(Divide both sides by 3)

y = −58/15

(3x-17-4x^2)-(8x^2-5x+ 13)

Answers

Answer:[tex]-12x^{2} + 8x - 30[/tex]

Step-by-step explanation:

Simplify the expression.

2. Will the Science Club meet their goal if they
sell 30 T-shirts and 90 key chains? Explain in
terms of the graph of the inequality

Answers

Answer:

hope it helps

Step-by-step explanation:

Answer:

No, the Science Club will only make $480. On the graph, the point  (,)                                       is below the line, so it is not a solution of the inequality.

Step-by-step explanation:

just answered this, and this was the correct answer :) !

I need help checking over this​

Answers

Answer:

3

Step-by-step explanation:

2xy⁴ + 2x²y - 3y² + 10x³

In descending order

2xy⁴ + 10x³ + 2x²y - 3y²

Now, In this polynomial the second term is 10x³ and it's degree is 3

Thus, The answer is 3

-TheUnknownScientist

In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million people every four days). The world population was estimated to be 5.3 billion in 1990. Use the linear model to predict the world population in 2025. a. According to the model, in 2025 the world population will be 84,937,500,000 b. According to the model, in 2025 the world population will be 8,493,750,000 c. According to the model, in 2025 the world population will be 5,302,607,000 d. According to the model, in 2025 the world population will be 8,037,500,000

Answers

Answer:

According to the model, in 2025 the world population will be 8,493,750,000

Step-by-step explanation:

Rate at which population was growing per year = 0.09125 billion

Initial population figure in 1990 = 5.3 billion

World population prediction in 2010 ;

Predicted population figure :

Initial population + (population growth value per year * number of years)

number of years = (2025 - 1990) = 35 years

Predicted population figure in 2025 :

5.3 + (0.09125 * 35)

5.3 + 3.19375

= 8.49375 billion.

8,493,750,000 by 2025

Answer:

b

Step-by-step explanation:

edge 2021

Given that 1 inch =2.54 Gm how many centimeters are there in 4 feet?

Answers

Answer:

121.92

Step-by-step explanation:

There's 121.92 centimeters in 4 feet.

Hope this helps! :^)

A bag contains 4 red marbles and 2 white marbles. A marble is selected, returned to the bag, and then another marble is selected. Find P(red, then white).

Answers

Yessss this I’m waffling because I need to answer quiestionnsss

Answer:

2/9

Step-by-step explanation:

SOMEBODY PLZ ANSWER!
This graph is from a publication of the Centers for Disease Control and Prevention (2017). The y-axis shows the percentage living with diabetes.

The Board of Directors of a medical school wants to use the trend to predict the percentage in 2020 so that they can help train enough doctors to handle the growing numbers. Use a visual estimate of the line of best fit to make a prediction. Do you think your estimated line of best fit will be accurate? Explain why or why not.

Answers

Answer:

My estimate is around 16 million cases by 2020

Step-by-step explanation:

I used the formula of rise over run

(The "Rise over Run" formula is y2-y1/x2-x1)

I used 2010's total of cases 22 million and 1960's 4 million

Now I subtract 2010 and 1960

Which is 40 or 4 in this case

Then I subtracted 22 million by 4 million which is 5.5

Round 5.5 to 6 (Since it is an estimate)

Divide 6 and 4

6/4= 1.5 which I rounded to 2 million now I start at 1960's 4 million case and add 2 million for 10 year or multiply 6 by 2 which is 12 and add it by 4 which is 16

Hence 16 million

Hope this helps

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