Which of the following graphs is the solution set of -10 < 3x - 4 < 8?

Mathematics High School

Which of the following graphs is the solution set of -10 < 3x - 4 < 8?

Answers

Answer 1

Answer:

Its the first one . A

Step-by-step explanation:

Answer 2

The solution set for the given inequality is {-1, 0, 1, 2, 3}. Therefore, option A is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -10<3x-4<8.

Now, -10<3x-4

Add 4 on both the sides of an inequality, we get

-6<3x

-2<x

Now, 3x-4<8

Add 4 on both the sides of an inequality, we get

3x<12

x<4

-2<x<4

Solution set is {-1, 0, 1, 2, 3}

Therefore, option A is the correct answer.

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Related Questions

15 is what percent of 300?

Answers

Answer:

Step-by-step explanation:

To find you need to turn the percent into a decimal and multiply it by the number you want to find the percent of.

0.15 x 300=45

The function below was generated using an equation of the form f(x) = asin(bx – c). On a coordinate plane, a function has a maximum of 3 and minimum of negative 3. It completes one period at pi. It increases through the y-axis at (0, 0). Find a, b, and c for the function such that the graph of f matches the figure. a = 3, b = –2, c = π a = 2, b = 3, c = –π a = 3, b = 2, c = –π a = 2, b = -3, c = π

Answers

Answer: A

a = 3, b = –2, c = π

Step-by-step explanation:

The values of a, b and c for the function such that the graph of f matches the figure are;

a = 3, b = -2, c = π

We are given the equation as;

f(x) = a sin(bx - c)

Now, the general form of equation of a sinusoidal wave is;

y = Asin(ωt + ϕ)

Where;

A is the amplitude of the wave

ω is the wave's angular frequency,

ϕ is the phase of the sine wave in radians.

Comparing that general equation to the one we are given, we have;

a as the amplitude

c as the phase

Now, from the attached image of the graph, the amplitude it the peak of the wave which is 3.

Thus; a = 3

Now, the phase angle from the graph which is the interval for each period of motion of the wave is seen to be π. Thus, c = π

Looking at the options, the only one that has the correct value of a and c is option A.

Read more about sinusoidal waves curve at; https://brainly.com/question/20431795

You work in a grocery store warehouse recording shipments. A driver delivers 25 crates of strawberries for distribution. A store calls needing seven crates of strawberries. After you fill this order, how many crates of strawberries are available for other stores?

Answers

Answer:

18 crates

Step-by-step explanation:

Data provided in the question

The Number of strawberries for distribution delivered is 25 crated

Now he seven crates is required

So the remaining crates left is

= 25 - 7

= 18 crates

hence, after filling the order the number of order crates of strawberries is 18 crates and the same is to be considered

The length between the bases on a baseball field is 90 feet. A scale drawing shows the distance between the bases are 2 1/2 inches. one inch on this drawing equals how many feet?

Answers

Answer:

Step-by-step explanation:

It takes Amelia one minute to swim 1/60 of a kilometer.how far can she swim in 12 minutes

Answers

1/5 kilometers
take 1/60 and multiply by 12, then simplify

PLS ANSWER HELP
Thanks

Answers

Its congruent to ELG :)

find the least common denominator of 5/2 and 9/10

Answers

Answer:

Step-by-step explanation:

Denominator is the bottom number, and this is a multiple of both of the denominators

4. 4 movie tickets cost $56.00. At this rate, what is the cost
per ticket?

Answers

Answer:$14

Step-by-step explanation:

Answer:

Step-by-step explanation:

14 x 4= 56

SV bisects angle RST. if m angle RST = 62, what is m angle RSV?

Answers

See attachment for math work and answer.

The measure of ∠RSV is 31°.

Given that, SV bisects ∠RST=62°.

We need to find the value of m∠RSV.

What is an angle bisector?

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts. For example, an angle bisector of a 60-degree angle will divide it into two angles of 30 degrees each. In other words, it divides an angle into two smaller congruent angles.

Since SV bisects ∠RST into equal parts.

That is, ∠RSV=∠TSV

So, ∠RST=∠RSV+∠TSV

⇒∠RST=2∠RSV

⇒62°=2∠RSV

⇒∠RSV=31°

Therefore, the measure of ∠RSV is 31°.

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A flat screen television measures diagonally 40 inches and 24 inches in length. What
is the width of the television?
32 in.
G 35 in.
H 51 in.
64 in.

Answers

The width should be 32 inches.

Convert 0.0833333333333333..... to a fraction

Answers

Answer:

8333333333/100000000000 i think

Answer:

83/100

Step-by-step explanation:

find the midpoint of (-8,-9) and (-5,1)

Answers

The midpoint would be (-13/2,-4)

I need someone ti help me with ny homework tmr at 7:30 plzzzz

Answers

Answer:

what do you need help with?

Please answerrr!!! (don’t answer if you don’t know it) will give brainliest

Answers

The answer is 122 degrees. Pentagons add up to 540 degrees and if you subtract all the other angles you are left with 122, which is also the exact angle of the pentagon to the right if you were to translate it over.

Answer:

∠H = 122°

Step-by-step explanation:

This is a 5-sided polygon. That means the sum of all the angles must equal 540°.

∠H + 107° + 97° + 130° + 84° = 540°

∠H = 540° - (107° + 97° + 130° + 84°)

∠H = 540° - 418°

∠H = 122°

Simplify 3n+7-n-3

Thank you!

Answers

combine all like terms!

that would be 3n-n and 7-3, which would leave you with 2n and 4

simplified, it would be 2n+4 :)

what is the complex conjugate of 6+2i

Answers

It should be the sqrt-8 should be the answer on edg2020

0.067318 to 2 significant figures

Answers

In two significant figures it is 0.067.

You are doing chores to earn your allowance. For each chore you do, you earn $3. In the equation below, C is the
number of chores you do, and d is the number of dollars you earn.
The relationship between these two variables can be expressed by the following equation:
d=3c
Identify the dependent and independent variables.
Dependent variable
Independent variable
The number of chores you do
The number of dollars you earn

Answers

The independent variable is d because it is alone or independent. The dependent variable is c because it stands with the number three.

Answer:

Independent- c (number of chores)

Dependent- d (number of dollars)

Step-by-step explanation:

19. A package of 12 confetti eggs costs $2.88.
At this rate, what is the cost of 1 confetti egg?

Answers

Answer:

0.24$

Step-by-step explanation:

Each egg costs 1/12 of 2.88.

So either you multiply 2.88 by 1/12

or you divde 2.88 by 12

Answer:

0.24

Step-by-step explanation:

you would divide 2.88 by 12 hope this helps.

3p^2-24+36
factorise with appropriate identity

Answers

Answer:

3(p^(2)+4)

Step-by-step explanation:

find two consecutive numbers so that 3 times the smaller number is 43 more than 2 times the large number

Answers

Answer:

24 AND 48

Step-by-step explanation:

(01.03 MC)
What is the simplified expression for 3* •2°•3?? (1 point)
24
O 1) 3
2
2)
3)
2
14) 2

Answers

Answer:c

Step-by-step explanation:

Help which one is it

Answers

Answer:

addition of property of equation

Step-by-step explanation:

You have to move the -3 by adding it to both sides and since the other number is negative you get 1

Answer:

Addition property of equality

If an object is dropped from a height of 39 feet, the function h(t)=-16t^2+39 gives the height of the object after t seconds. Graph the function

Answers

Answer:B

Step-by-step explanation: I took the test.

The graph of the function h(t)=-16t^2+39 is graph (b)

The equation of the function is given as:

h(t)=-16t^2+39

The above function is a quadratic function that as a y-intercept of 39.

This is shown as follows:

h(0)=-16 * 0^2+39

Evaluate the exponent

h(0)=-16 * 0+39

Evaluate the product

h(0)=0+39

Evaluate the sum

h(0)= 39

Hence, the graph of the function h(t)=-16t^2+39 is graph (b)

Read more about quadratic functions at:

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

Answers

Answer:

1.)47.022

2.)8.032

3.)2.436

4.)61.92

Step-by-step explanation:

Is (5, 9) a solution to the system of inequalities?

x + y > 12

2x - y < 4

Answers

I think it is.

I’m not sure.

Answer:

yes (5,9) is a solution to the system of inequalities

Step-by-step explanation:

5+9= 14

14>12 - this statement ends up being true

2(5)-9

10-9=1

1<4- this statement also ends up being true

Identify the exponent in the following number: 2^5
A. 2
B. 5
C. 16
D. 32

Answers

Answer: 5

Explanation: This type of algebraic expression is called a power.

Here, 2 represents the base and the represents the exponent.

The hourly wage increases each employee receives each year depends on the number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour. Choose a function to represent this scenario

Answers

Answer:

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

Step-by-step explanation:

Given the information above :

Less than Employees = $0.5 increase per hour

Atleast 3 but less than 6 years employees = $1.00 increase per hour

Atleast 6 but less than 9 years employees = $1.50 increase per hour

Atleast 9 but less than 12 years employees = $2.00 increase per hour

The information above can be written as a piecewise function :

________{0.50 if x < 3

________{1.00 if 3 ≤ x < 6

f(x) = ____{1.50 if 6 ≤ x < 9

________{2.00 if 9 ≤ x < 12

The constraints is represented in the piecewise function above with x being the number of years since employee has been in service.

Franco begins to save for a new Lego set that costs $65. His parents gave him $35 towards the cost and he plans to save $5 per week.
Write an equation modeling the total amount he has saved

Answers

Answer:

T = 35 + 5s

Step-by-step explanation:

Here, we want to write an equation for the the total amount that has been saved.

Let the number of weeks he has saved for be s

Then his total savings will be 5 * s = 5s

Now let’s add the $35 from his parents

This will give 35 + 5s

let T be the total

amount that hass beeem saved

So;

T = 35 + 5s

where a represents the number of weeks for which he has saved and T represent the total money that has been saved

Libby bought three shirts that cost $6.79, $11.08, and $8.95. How much did all three shirts cost

Answers

6.79+11.08+8.95=26.82

Answer:

$26.82

Step-by-step explanation:

It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.

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