solve for x: 6 < 4x + 8 < 14

Solve For X: 6 &lt; 4x + 8 &lt; 14

Answers

Answer 1

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:6 < 4x + 8 < 14[/tex]

[tex]\qquad \tt \dashrightarrow \:6 - 8 < 4x + 8 - 8 < 14 - 8[/tex]

[tex]\qquad \tt \dashrightarrow \: - 2 < 4x < 6[/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{ - 2}{4} < \dfrac{4x}{4} < \dfrac{6}{4} [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{ - 1}{2} < {x}{} < \dfrac{3}{2} [/tex]

hope it helps ~


Related Questions

I need help with this question please

Answers

Answer:

I) 23

K) 96

J) 77

Step-by-step explanation:

All angles of a triangle equal up to 180

6x+4x-3+x+7=180

11x+4=180

11x=176

x=16

In a cash drawer there is $208.00 in $1 bills and $5 bills. The number of $5 bills is three times as the
number of $1 bills. How many of each are in the drawer?

Answers

Answer:

there are $624.00 $5 in the money drawer

What is the circumference of a circle with a radius of eight inches

Answers

Answer:

50.24 inches

[tex] \: [/tex]

Step-by-step explanation:

It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.

[tex] \: [/tex]

To find the circumference of the circle we must know this formula first :

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Circumference_{(circle)}= 2 \pi r}}}}}} \: \: \bigstar \\ \\[/tex]

Where

r is the radius of the circle.

We'll take the value of π as 3.14

Now substituting the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 2 \times 3.14 \times 8}}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{\sf{{ \: Circumference_{(circle)}= 3.14 \times 16}}}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ { \pmb{\frak{{ \: Circumference_{(circle)}= 50.24}}}}}} \: \: \\ \\[/tex]

Therefore,

The circumference of the circle is 50.24 inches

Answer:

C = 50.24 in

Step-by-step explanation:

Given that,

→ Radius (r) = 8 in

Formula we use,

→ 2πr

The circumference of the circle will be,

→ 2πr

→ 2 × 3.14 × 8

→ 6.28 × 8

→ [ 50.24 in ]

Hence, the circumference is 50.24 in.

A farmer who only sells produce to local residents in his town wishes to expand to a neighboring city. The farmer calls everyone in the phone book with a last name starting with "S" in the neighboring city and asks them if they would be interested in buying the produce. 242 told the farmer that they would be interested, 576 said they would not be interested and 138 refused to answer. Which statement is true?


The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.


The population of the survey is the 242 that said they would be interested.


The population of the survey is all residents of the neighboring city whose phone number is listed.


The survey sample includes current customers.

Answers

Answer:

The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.

Step-by-step explanation:

that one makes the most sense

A computer fan's speed rises as the computer heats up. Based on the table, what is MOST LIKELY the fan's speed at 7 minutes?

A) 0 RPM
B) 1,400 RPM
C) 2,100 RPM
D) 2,800 RPM

Answers

Answer:

2,800

Step-by-step explanation:

Because they are adding 700 each time.


4) Look at this set of 5 numbers: 5 3 5 3 4

By how much would the mean increase if the number 8 replaced one of the 3's in the
set?

Answers

Answer: It increases by 1

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

Explanation:

To compute the mean, we first add up the numbers

5+3+5+3+4 = 20

Then divide by 5 since there are 5 numbers in the set

20/5 = 4

The mean is 4.

---------------

Now replace one of the '3's with 8 and recompute the mean

5+8+5+3+4 = 25

25/5 = 5

The mean is now 5.

The old mean in the previous section was 4.

The mean has increased by 1 since 5-4 = 1.

Side note: The increase from 3 to 8 is +5, which when dividing by 5, we're basically incrementing the mean by +1.

Answer:

1

Step-by-step explanation:

Mean=Sum of terms/ No.of terms

→5+3+5+3+4/5

20/5=4

If we replace 3 as 8 in one of the place values, Then:

5+3+5+8+4/5=25/5

5

Increment= 5-4=1

THUS, 1 is increased.

THANKYOU

PLEASE MARK ME AS THE BRAINLIEST PLEASE BYE FOR NOW.

The number of chips of different colors in Kathy's bag is shown below:

9 blue chips
5 pink chips
6 white chips
Kathy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag.
Part A--What is the probability that Kathy takes out a white chip in both draws? Show your work in the box for full credit. Show the probability as a ratio and round your answer to the nearest whole percent.

Part B--Is this scenario an independent event or dependent event? Explain.

Part C--What is the probability that Kathy takes out a blue chip in the first draw, and then a pink chip in the second draw? Show your work in the box for full credit. Show the probability as a ratio and round your answer to the nearest whole percent.

Part D--Is this scenario an independent event or dependent event? Explain

Answers

I really think it would be C if not very sorry

Joseph works 5 hours on Monday, 10 hours on Tuesday, 9.5 hours on Wednesday, 8.25 hours on
Thursday, 6 hours on Friday, and 7.5 hours on Saturday. He is paid $9.85 per hour and time and a
half for all hours over 40 per week. Find his gross earnings per week.
I
I

Answers

Answer:

459.9 or 460

Step-by-step explanation: add it all up and multiply and then add once more the half times the 6.25 hours of overtime

The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Step 1: 2(y + 6) - 4y
Step 2: 2y + 8; 4y
Step 3: 2y : 8
Step 4: y = 4
Which of the following explains how to correct Step 2 and shows the correct value of y?
02 should be distributed as 2y + 12, y = 6
should be distributed as 2y + 12; y = 3
The equation should be y + 6 4y after division by 2
D The equation should De
6 = 4y after division by 2; y = 1

Answers

Answer:

⇒ A. 2 should be distributed as 2y + 12, y = 6

Step-by-step explanation:

Here are the steps to solve this equation:

Given:

First step: 2(y+6)-4y

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

2(y+6)

2*y=2y

2*6=12

2y+12

Isolate the term of y from one side of the equations.

2y+12=4y

Subtract by 12 from both sides.

2y+12-12=4y-12

Solve.

2y=4y-12

Then, you subtract by 4y from both sides.

2y-4y=4y-12-4y

Solve.

2y-4y=-2y

-2y=-12

Divide by -2 from both sides.

[tex]\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}[/tex]

Solve.

Divide the numbers from left to right.

Solutions:

-12/-2=6

[tex]\Longrightarrow: \boxed{\sf{y=6}}[/tex]

Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".

I hope this helps. Let me know if you have any questions.

solve the inequality: |6w+2|-6>8

Answers

Answer:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Step-by-step explanation:

The solution is given

[tex] |6x + 2| - 6 > 8[/tex]

[tex] |6x + 2| > 8 + 6[/tex]

[tex] |6x + 2| > 14[/tex]

Now wit will be swprated into two parts

First part

[tex]6x + 2 > 14 [/tex]

[tex]6x > 14 - 2[/tex]

[tex]x > 12 \div 6[/tex]

[tex]x > 8[/tex]

The second part is

[tex]6x + 2 > - 14[/tex]

[tex]6x > - 14 - 2[/tex]

[tex]x > - 16 \div 6[/tex]

This question has two answers

6-16/6

a) Find the value of 2x + y when x = 4 and y = 3

Answers

Answer:

11

Step-by-step explanation:

x = 4

2x

= 2 * 4

= 8

y = 3

2x + y

= 8 + 3

= 11

A five-question multiple-choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers and 1’s representing correct answers, to answer the following question:

What is the probability of correctly guessing at random exactly one correct answer? Round your answer to the nearest whole number.

Answers

Answer:

¿Cuál es la probabilidad de aprobar un examen al azar?

Resultado de imagen para ¿Cuál es la probabilidad de adivinar correctamente al azar exactamente una respuesta correcta?

La probabilidad de acertar respondiendo al azar una pregunta es de una entre cuatro: 1/4 = 0.25. Normalmente decimos un 25% de probabilidad de acertar. La probabilidad de fallar sería tres entre cuatro: 3/4 = 0.75. O sea un 75%.

Step-by-step explanation:

this is the best ✔️ 5+(2-3)49_.56837659=0-9

Step-by-step explanation:

0 upto 9

which expressions are equivalent to 5 times 5 times 5 times 5 times 5 times 5? Select all the expressions that apply.

Answers

Answer:

5 to the power of 5. In other words, 3125

Answer:

5*5*5*5*5*5

[tex]5^6[/tex]

Step-by-step explanation:

If your answer choices show exponents, then any base 5 exponents multiplied that have exponents adding up to 6 will work too.

If a lost male child is found who is 145 cm tall, determine an interval of likely ages for the child.

Answers

Answer:

wrote in said they would not have children if they could make the choice again. is 166 cm tall really has a wrist circumference of 65 mm

Step-by-step explanation:

hope this helps!

8-10yrs

hope it helps...!!!

PLEASE HELP WILL MARK BRAINLIEST THANK YOU

Answers

Answer:

3x+y=-2

Step-by-step explanation:

A parallel line has the same slope as y=-3x-6, so a slope of -e

This means that the coefficient of x has to be bigger than y, and since both x and y are on the left hand side, they both have to be positive.

There are 350 eighth graders at Wilson Middle School. In the class president election, 252 students voted for Luke, 56 students voted for Alice, and 42 students voted for Chris. What percent of eighth graders voted for Luke?

Answers

72%

hope it helps...!!!

Answer:

72%

Step-by-step explanation:

Step 1.

Do 252 divided by 350

252/350

Step 2.

Convert answer into percentage

252/350=.72

.72=72%

pls answer what you can and I will give brainliest.

1. A population variance is used to calculate the t statistic for a hypothesis test.
(True/False)

2. Holding everything else constant, increasing the sample size (n) decreases estimated standard error (SM) and increases the likelihood of a significant result.
(True/False)

3. With = .01, a two-tailed t test for a sample of n = 20 subjects would have critical t boundary values of t = ±2.861
(True/False)

4. A sample of n = 15 scores would produce a t statistic of df = 16.
(True/False)

5. Using the single sample t statistic formula (M - divided by SM) for a hypothesis test: First, calculate the obtained t statistic for: M = 12, = 6, with SM = 2.

Second, find the critical t boundary values for the critical region in the t Distribution Table (p. 537).

Now, describe the decision regarding the null hypothesis for a two-tailed test with =.05 and df=8: _________.
(Reject Null Hypothesis/Fail to reject Null Hypothesis)

6. An independent-measures t test design could be used to evaluate the difference in verbal skills between 3-year old girls and 3-year old boys.
(True/False)

7. The null hypothesis for the independent-measures t test states that there is no difference between the two population means.
(True/False)

8. The homogeneity of variance assumption requires that the two samples have equal variances.
(True/False)

9. One sample has n = 6 and SS = 20, and a second sample has n = 6 and SS = 30. The pooled variance for the two samples is 50/10 = 5.
(True/False)

10. An independent-measures study uses a separate sample to represent each of the treatment conditions or populations being compared.
(True/False)

11. The goal of an independent measures research study is to evaluate mean differences between two populations (or treatment conditions).
(True/False)

12. For the difference scores: 3, -8, 6, -4, -2, the value of MD = -1.
(True/False)

13. A researcher obtains a t statistic of t = 2.00 from a repeated-measures study using n = 17 participants. If effect size is measured using r2, then r2 = 4/20 = 0.20
(True/False)

14. The repeated-measures t test design is suited to situations in which there are relatively few subjects available for study
(True/False)

15. The repeated-measures t test design is helpful because it uses fewer subjects for two samples.
(True/False)

16. The researcher’s goal for a repeated-measures t test is to use a sample of difference scores to answer questions about the general population, and particularly to find out if there is any difference between the two treatment conditions for the general population.
(True/False)

17. Independent observations are an assumption for the repeated-measures t test design.
(True/False)

18.
Two assumptions of the t test are: ________.

Assumption 1: ________

Assumption 2: ________

THANKS <3

Answers

Answer:

I believe the top one is true! I'm sorry I couldn't answer them all :c

Step-by-step explanation:

Tina and Rod are married, filing jointly. Their combined taxable income is $65,157. Every week, a total of $158 is withheld from their pay. Based on the table below, how much will Tina and Rod owe when their taxes are due? Show work.

Answers

Answer:

This is unsolvable without the graph. show me the graph and i can solve it

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = 14

y = 30

Step-by-step explanation:

x + 10 = 3x - 18

x = 3x - 18 - 10

x = 3x -28

x - 3x = -28

-2x = -28

x = 14

(3x - 18) + (6y - x - 10) = 180

3x - x -18 - 10 + 6y = 180

2x - 28 + 6y = 180

2x + 6y = 180 + 28

2(14) + 6y = 208

6y = 208 - 28

6y = 180

y = 30

I hope this helps!

PLEASE HELP ME ON THIS QUSTION
The data shows the age of thirteen different dogs at a dog park.
3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4
Create a histogram of this data.

To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.

Answers

Answer:

Given the  following data shows the age of thirteen different dogs at a dog park:

3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4

The frequency table is as shown below;

Age   |   number of dogs

0 - 2  |    1

3 - 5  |    5

6 - 8  |    3

9 - 11  |    2

12 - 14  |  2

Step-by-step explanation:

To create a histogram of the given data, you would have to plot the ages of the dogs against the number of dogs.

Calculations and Parameters:

Given the set of data: 3, 3, 7, 2, 11, 4, 8, 14, 10, 8, 13, 5, 4

You would have to create a frequency table and this would contain the ages and number of the dogs as displayed below:

Age   |   number of dogs

0 - 2  |    1

3 - 5  |    5

6 - 8  |    3

9 - 11  |    2

12 - 14  |  2

Read more about histograms here:

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16. Jason leaves Detroit at 2: 00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at [tex]2\colon50\mathrm{PM}\text{.}[/tex]
(b) Draw the graph of the equation in part (a).

Answers

Answer:

at 2: 00 PM constant speed may 4:00 constant speed

Step-by-step explanation:

makatulong po ba

Given f(x) = √x and g(x) = x+2 find the domain of f(g(x)).
a) (-∞, -3] U (2,00)
b) [0,2) U (2,00)
c) [0,4) U (4,00)
d) (-∞o, 2) U (2,00)
e) None of the above

Answers

Answer:

E) None of the above

Step-by-step explanation:

Given [tex]f(x)=\sqrt{x}[/tex] and [tex]g(x)=x+2[/tex], then [tex]f(g(x))=\sqrt{x+2}[/tex]. This shifts the graph of the parent function [tex]f(x)=\sqrt{x}[/tex] 2 units to the left. Thus, the domain of the function is [tex][-2,\infty)[/tex], making none of the above true.

The domain of f(g(x)) is all real numbers x such that x ≥ -2.

Hence, Option e is correct.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, To find the domain of f(g(x)), we need to first determine the domain of g(x).

Since, g(x) is a polynomial function,

And, we know that it is defined for all real numbers.

Therefore, the domain of g(x) is (-∞, ∞).

Next, we need to find the domain of f(g(x)), which means we need to determine which values of x make g(x) a valid input for f(x).

Since, f(x) is defined only for non-negative real numbers, we need to ensure that g(x) is a non-negative real number.

Therefore, we set the inequality g(x) ≥ 0 and solve for x:

x + 2 ≥ 0

x ≥ -2

So, The domain of f(g(x)) is all real numbers x such that x ≥ -2.

Learn more about the function visit:

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Please help me fast!

Answers

Find the Inverse

To find the inverse, interchange the variables and solve for

y

.

f

1

(

x

)

=

x

9

+

2

9

Help! 2a+2b=360
a) a = 60 degrees
b) a= 75 degrees
use algebra to solve for b

Answers

The answer would be 75 degrees if you multiply 75 and two you’d get 150 and if you add both youd get 300

Answer:

2(60)+2b=360

120+2b=360

2b=360-120

2b/2=240/2

b=120

What is the Vertex and Y-intercept of f(x)=3x^2-6x+4? Please show your work.

Answers

Answer:

(1;1) and (0;4)

Step-by-step explanation:

1) if given f(x)=3x²-6x+4 (where a=3; b=-6 and c=4), then

[tex]x_0=\frac{-b}{2a}; \ = > \ x_0=1;[/tex]

[tex]y_0=3*1-6*1+4=1;[/tex]

it means, the vertex has coordinates (1;1).

2) if according to the condition x=0, then

f(0)=0-0+4=4;

it means the Y-intercept is 4.

Given the g(x)=x2-6x-16 which statement is true

Answers

Answer:

The zeros are -2 and 8, because the factors of g are (x+2) and (x-8).

Step-by-step explanation:

A case of 12 jars of salsa weighs 180 ounces. How many ounces will 5 jars of salsa weigh?​

Answers

Answer:

75 ounces

Step-by-step explanation:

Divide 180 by 12 to see how much a single jar weighs

180/12 = 15

Multiply the weight of one jar by how many jars you need

15x5 = 75

Answer: 75 ounces

Step-by-step explanation:

The 12 jars combined weigh 180 ounces in total. We find the weight per jar by dividing 180 ounces by 12 which gives is 15 ounces per jar. We find the weight of 5 jars by multiplying 5 jars by 15 ounces. Here are the calculations as follows.

180÷12=1515x5=75

IF CORRECT ILL MARK BRAINLIEST!
USE THE NET TO FIND THE SURFACE AREA OF THE REGULAR PYRAMID

Answers

Answer:

275.63 mm^2

Step-by-step explanation:

The measurements of the pyramids are

Edge length: 10
Egde width: 8.66 (because 10x8.66/2 = 43.3)
Height: 9

To find the surface area, use this formula, and you will get 275.63:

Which is an equivalent form of the expression 1800(1.2)-¹?
1800
(2)
0 1800(3)
1800
မြို့)'
1800 (7)

Answers

Answer:

Option B will be the correct option.

Step-by-step explanation:

The given expression is

We can rewrite the term as

[As we know ]

Now we will simplify the expression

=

=

Therefore, Option B will be the correct option.

A group of friends are canoeing along a river. They want to travel upstream 1.5 km, then travel back downstream back to their original starting point. The river has a current of 6km / h * r If the distance equation to find the time to travel upstream is time = and the equation to (velocitycurrenty distance travel downstream is time = ( velocity current) How fast should the canoe be traveling to complete the journey in 6 hours ? b. If the journey upstream ends up taking twice as long as the journey downstream, how fast did the canoe travel ?

Answers

Using the relation between velocity, distance and time, it is found that:

a) The canoe should be traveling at a rate of 37.5 km/h.b) The canoe traveled at a rate of 6.124 km/h.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

Item a:

1.5 km in 6 hours, with a velocity of vc - 6, in which vc is the velocity of the canoe and 6 km/h is the velocity of the current, so:

[tex]vc - 6 = \frac{1.5}{6}[/tex]

vc - 36 = 1.5

vc = 37.5.

The canoe should be traveling at a rate of 37.5 km/h.

Item b:

Upstream, the velocity is given by vc - 6, as it is against the stream, hence:

[tex]vc - 6 = \frac{1.5}{2t}[/tex]

[tex]t(vc - 6) = \frac{1.5}{2}[/tex]

[tex]t = \frac{1.5}{2vc - 12}[/tex]

Downstream, we have that:

[tex]vc + 6 = \frac{1.5}{2(\frac{1.5}{2vc - 12})}[/tex]

[tex]vc + 6 = \frac{1.5}{vc - 6}[/tex]

[tex]vc^2 - 36 = 1.5[/tex]

[tex]vc = \sqrt{37.5}[/tex]

vc = 6.124.

The canoe traveled at a rate of 6.124 km/h.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

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Answer:

dfgd

Step-by-step explanation:

sdfg

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