Instructions: Solve the following equation for the variable given.
on
1/4 (4x - 4) = -2(6x + 7)

Solving Linear Equation

Answers

Answer 1

Answer:

x = -1

Step-by-step explanation:

1/4 (4x - 4) = -2(6x + 7)

1x - 1 = -12x - 14

13x = -13

x = -1


Related Questions

When Poll Pasked students to identify their favorite kind
of TV show, 12 students, 30% of the group, said their
favorite was Sports. Poll Q asked 3 times as many
students as Poll P.
G
How many students took Poll Q?

Answers

Answer:A) The number of students who took Poll P

Step-by-step explanation:

i did it on the assignment

Type the correct answer in each box.
Consider the expressions shown below.

A B C

Complete each of the following statements with the letter that represents the expression.


is equivalent to expression
.

is equivalent to expression
.

is equivalent to expression
.

Answers

Answer:

BAC

Step-by-step explanation:

The expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial shown in the picture.

A = -7x² - 2x + 5

B =  7x² - 2x + 7

C = 7x² + 2x - 5

The expression is:

= (3x² - 6x + 11) - (10x² - 4x + 6)

= -7x² - 2x + 5

= A

= (-3x² - 5x - 3) - (-10x² - 7x + 2)

= 7x² + 2x - 5

= C

= (12x² + 6x - 5) - (5x² + 8x - 12)

= 7x² - 2x + 7

= B

Thus, the expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ5

I need help with this​

Answers

Answer:

A. More students prefer Model A1 calculators than the Model C3 calculators.

If a square root parent function is vertically compressed by a factor of 1/6,
what is the equation of the new function, G(x)?
O A. G(x)=1/6square root of x
B. G(x) = Square root of 6x
C. G(x) = 6 square root of x
D. G(x) = -6 square root of x

Answers

Answer:

the answer could be B i think cause that makes total sense

I think the answer is b

Kylie fell asleep 34% of the way through the trip. If kylie fell asleep after they had traveled 306 miles what wasthe total length of the trip.

Answers

Answer:

900

Step-by-step explanation:

34/100 = 306/x

Cross multiplying, you get:

34x=30600

x=900

Total trip is 900 miles long.

Last question pls help me

Answers

Answer:

Step-by-step explanation:

684 dollars

What is the value of this expression when h= -2 and g = 5?
242 +9

Answers

Answer:

B

Step-by-step explanation:

the g is not in the root, solve everything in the root separately and then add g to it

use wxy to find the measure of

Answers

Answer:

a circle

Step-by-step explanation:

HELP ASAP!!!!
What is the X intercept of the graph that is shown below?(-2, 0)
(-1, 2)
(0.4)
(4.0)

Answers

Answer:

The x-intercept of the graph is (-2,0)

OAmalOHopeO

simplify (q and (-q or p)) or (p and -(q and p))

Answers

Step-by-step explanation:

(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p

(p and not (q and p)) = (p and (not q or not p)) =

= (p and not q) or (p and not p) = (p and not q) or false =

= p and not q

so, we have in total

(q and p) or (p and not q) = (p and q) or (p and not q).

this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.

Look at the images above. How are the fish food box and the shipping box similar? How are they different?​

Answers

Answer:

Read below c:

Step-by-step explanation:

Both are rectangular prisms and they have similar dimensions. They are different because one is visibly larger then the other.

hope it helps c:

A survey of 200 school children classified students by gender and the number of times Sharky's Soda was purchased each month at school. Examine the chart below, where each respondent is classified according to the two criteria.
- What percentage of boys bought 1 Sharky's? What percentage of girls bought 2 or more Sharky's?
-What percentage of people bought no Sharky's?
-How would you characterize the relationship between boys that purchased Sharky's and the total of people buying 2 or more Sharky's Soda?

Answers

Answer:

15%

65%

7.5%

Step-by-step explanation:

1.) Percentage of boys who bought 1 Sharkys

Number of boys that bought 1 sharkys = 15

Total number of boys = 100

= 15 / 100 * 100% = 15%

2.)

Percentage of girls who bought 2 or more sharkys :

Number of girls who bought 2 or more sharkys

= 65

Total number of girls = 100

= 65 / 100 * 100% = 65%

3.)

Percentage of people who bought no sharkys

Number of people who bought no sharkys = 15

Total number of people = 200

15 / 200 * 100% = 7.5%

Which statement is true concerning the set {1,1,0,15, 2,3, 4,0,1,3} ?
a. The standard deviation is 4.42 and the z-score is 2.17, a mild outlier.
b. The standard deviation is 19.5556 and the z-score is 2.17, a mild outlier.
c. The standard deviation is 4.42 and the z-score is 2.71, a mild outlier.
d. The standard deviation is 4.24 and the z-score is 2.71, a mild outlier.

Answers

Answer:

I hope C option is write I hope you help

i need help plz help.i need the answer asap

Answers

Answer:

Step-by-step explanation:

If you need to use all the letters, the only other word I can see is STRUT.

Answer:

120

Step-by-step explanation:

5!

if they are looking for words that actually exist then 11

also rsm right?

+
Put the following decimals in order, starting with the smallest at the top.
Smallest
5.07
5.76
50.67
55.706
50.765

Answers

Answer:

5.07, 5.76, 50.67, 50.765, 55.706

Step-by-step explanation:

19/3+[14/3 ÷{10-3(3+1/2-1/4)×1/3}]

Answers

Answer:

= 3 11/20

Sorry I am not doing the step by step.

order of operations
(20-6+4)*2+2

Answers

38. If this isn’t the answer, let me know and I’ll do it again.
38 is the right answer purrrrrr

For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 ​hours, technology output shows that the hypothesis test has power of 0.4272 of supporting the claim that μ<6 hours of sleep when the actual population mean is 4.0 hours of sleep. Interpret this value of the​ power, then identify the value of β and interpret that value.

Answers

Answer:

#[tex]\beta=0.5492[/tex]

#This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]

Step-by-step explanation:

From the question we are told that:

Amount of sleep for adults [tex]X=P(< 6)[/tex]

Hypothesis test has power [tex]p=0.4272[/tex]

Mean [tex]\=x =4hours[/tex]

Generally the equation for [tex]\beta[/tex] is mathematically given by

[tex]\beta=1-P[/tex]

[tex]\beta=1-0.4508[/tex]

[tex]\beta=0.5492[/tex]

Therefore

This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]

The scores from the first test for students in my statistics class have an average of 70 and a standard deviation of 3. The scores from the second test has the same average and standard deviation as scores from the first test. The variance of the score from the second test given that the score in the first test is 65, is 2. Assume the scores of the students in the first test and second test are positively correlated and have a bivariate normal distribution. Calculate the average scores of the students in the second test given that the scores in the first test are 65.

Answers

Answer:

[tex]P(Y| X = 65)=66[/tex]

Step-by-step explanation:

From the question we are told that:

Mean[tex]\=x=70[/tex]

Standard Deviation [tex]\sigma=3[/tex]

Variance [tex]\sigma^2=2[/tex]

Generally the equation for Variance of Prediction is mathematically given by

[tex]\sigma_{p}^2=\sigma_{p}'^2*(1-r^2)[/tex]

Where

[tex]\sigma_{p}'^2=variance\ of\ predictor[/tex]

Therefore

[tex]2=3^2*(1-r^2)\\\\r=0.88[/tex]

Therefore

The Average score of student in 2nd test  

[tex]P(Y| X = x) = \mu +\frac{p\sigma}{\sigma(x −\mu_X)}[/tex]

[tex]P(Y| X = 65) = 70 +0.88\frac{3}{3)}*(65-70)[/tex]

[tex]P(Y| X = 65)=66[/tex]

The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.

Answers

Answer:

below

Step-by-step explanation:

domain. = ( -5 , 4)

range = ( -2 , 3)

what it the value of m when (2m+8)° and the other angle 24°​

Answers

Answer:

m = 74

Step-by-step explanation:

2m+8 +24 has to = 180 because they form a line. So the equation would be 2m+32 = 180, so then 2m would equal 148, so m = 74.

Simplify 45 - 8 + 12 - (-25)

Answers

Answer:

74

Step-by-step explanation:

BODMAS

12-(-25)

=12+25=37

45-8+37

45-8=37

37+37=74

=74

Answer:

37+12+25

74 Answer

hope it helps

Expand & simplify:
(x - 3)(x-4)

Answers

Answer:

[tex] {x}^{2} −7x+12[/tex]

Step-by-step explanation:

[tex](x−3)(x−4)[/tex]

[tex]x(x−4)−3(x−4)[/tex]

[tex]x \times x+x(−4)−3x−3(−4)[/tex]

[tex] {x}^{2} −4x−3x+12[/tex]

[tex] {x}^{2} −7x+12[/tex]

Hope it is helpful....

Answer:

x

[tex] {x}^{2} - 7x + 12[/tex]

Step-by-step explanation:

[tex](x - 3)(x - 4)[/tex]

[tex]x( x - 4) - 3(x - 4)[/tex]

[tex] {x}^{2} - 4x - 3x + 12[/tex]

[tex] {x}^{2} - 7x + 12[/tex]

The degree of this expression 2x+3y=4

Answers

Answer:

1st degree

Step-by-step explanation:

You look at the largest exponet, right here, there are none so it would be 1st degree.

Answer:

1

Step-by-step explanation:

The degree of an expression with multiple exponents is the highest exponent in it. In this expression, there is no expression, so the answer will be 1 because there is no exponent and every variable and number has an invisible 1 as its exponent.

Hope this helps.

What is the answer to
5x9/17+6

Answers

Answer:

I don't know which one you mean so I did both:

[tex]\frac{5*9}{17+6} =\frac{45}{23}[/tex] [tex]5*\frac{9}{17} +6=\frac{45}{17} +\frac{102}{17} =\frac{147}{17}[/tex]

please help me please help me​

Answers

14. largest 9510

15. smallest 1000000

16. n+6=22 —> n=22-6 —>n = 16

17. Add : 204 + 38429= 38633

One jar holds 40 purple marbles and 5 black marbles. A second jar holds 90 orange marbles and 10 black marbles. What is the probability that a black marble will be drawn from both jars?

Answers

Answer:

1/90

Step-by-step explanation:

The first jar holds 45 marbles and 5 of them are black.

The second jar holds 100 marbles and 10 of them are black.

Required probability:

P(b,b) = 5/45*10/100 = 1/9*1/10 = 1/90

Now we have to find,

The probability that a black marble will be drawn from both jars.

The given information is,

→ 1st jar contains/holds 45 marbles.

→ 5 of the marbles are black.

→ 2nd jar contains/holds 100 marbles.

→ 10 of the marbles are are black.

Then the probability will be,

→ P(b,b)

→ (5/45) × (10/100)

→ (1/9) × (1/10)

→ 1/90

Thus, required probability is 1/90.

Find the dimensions of a rectangle with perimeter 76 m whose area is as large as possible. m (smaller value) m (larger value)

Answers

Answer:

19 m

Step-by-step explanation:

Perimeter = 2(length + width) ; P = 2(l+w) - - (1)

Area = Length * width ; A = l*w - - - (2)

76 = 2(l+w)

76/2 = l+w

l+w = 38

l = 38 - w

Put l = 38 - w in (1)

A = (38-w)*w

A = 38w - w²

At maximum point:

dA/dw = 0

dA/dw = 38 - 2w

38 - 2w = 0

38 = 2w

w = 38/2

w = 19

Find the value(s) of a in the domian of f for which f(a)=1.
f (x)=x^2+2x-2

Answers

Answer:

1  ≤  y  <  ∞

Step-by-step explanation:

very true

Suppose the national mean annual salary for a school administrator is $91,000 a year. A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.
77,600 76,000 90,700 97,200 90,700
101,800 78,700 81,300 84,200 97,600
77,500 75,700 89,400 84,300 78,700
84,600 87,700 103,400 83,800 101,300
94,700 69,200 95,400 61,500 68,800
(a) Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $91,000.
H0: μ ≤ 91,000
Ha: μ > 91,000
H0: μ > 91,000
Ha: μ ≤ 91,000
H0: μ ≥ 91,000
Ha: μ < 91,000
H0: μ < 91,000
Ha: μ ≥ 91,000
H0: μ = 91,000
Ha: μ ≠ 91,000
(b) The sample data for 25 Ohio administrators is contained in the file named Administrator.
What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)
What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)
p-value =
(c) At
α = 0.05,
can your null hypothesis be rejected? What is your conclusion?
Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.
(d) Repeat the preceding hypothesis test using the critical value approach.
State the null and alternative hypotheses.
H0: μ ≤ 91,000
Ha: μ > 91,000
H0: μ > 91,000
Ha: μ ≤ 91,000
H0: μ ≥ 91,000
Ha: μ < 91,000
H0: μ < 91,000
Ha: μ ≥ 91,000
H0: μ = 91,000
Ha: μ ≠ 91,000
Find the value of the test statistic. (Round your answer to three decimal places.)
State the critical values for the rejection rule. Use
α = 0.05.
(Round your answer to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistic≤test statistic≥
State your conclusion.
Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.

Answers

Answer:

H0 : μ = 91000

H1 : μ ≠ 91000

Test statistic = - 2.594

Pvalue = 0.016

|Tcritical | = 2.064

Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.

Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.

Step-by-step explanation:

The hypothesis :

H0 : μ = 91000

H1 : μ ≠ 91000

From the data given :

77600 76000 90700 97200 90700

101800 78700 81300 84200 97600

77500 75700 89400 84300 78700

84600 87700 103400 83800 101300

94700 69200 95400 61500 68800

Using calculator :

Sample mean, xbar = 85272

Sample standard deviation, s = 11039.23

Sample size, n = 25

The test statistic :

(xbar - μ) ÷ (s/√(n))

(85272 - 91000) / (11039.23/√(25)

Test statistic = - 5728 / 2207.846

Test statistic = - 2.594

The Pvalue : df = n - 1 = 25 - 1 = 24

Pvalue(-2.594, 24) = 0.0159

Decision region :

Reject H0 ; If Pvalue < α ;

α = 0.05

Using the critical value :

Decision region :

Reject H0 ; If Test statistic > |Tcritical;

Tcritical value at df = 24 ; α = 0.05 ;

|Tcritical | = 2.064

Hence,

We Reject H0 ; Since, |Test statistic| > |Tcritical|and conclude that mean salary depends differs

Other Questions
Excerpt, Theodore Roosevelt, Inaugural AddressSaturday, March 4, 1905My fellow-citizens, no people on earth have more cause to be thankful than ours, and this is said reverently, in no spirit of boastfulness in our own strength, but with gratitude to the Giver of Good who hasblessed us with the conditions which have enabled us to achieve so large a measure of well-being and of happiness. To us as a people it has been granted to lay the foundations of our national life in a newcontinent. We are the heirs of the ages, and yet we have had to pay few of the penalties which in old countries are exacted by the dead hand of a bygone civilization. We have not been obliged to fight for ourexistence against any alien race, and yet our life has called for the vigor and effort without which the manlier and hardier virtues wither away. Under such conditions it would be our own fout if we failed, and thesuccess which we have had in the past, the success which we confidently believe the future will bring, should cause in us no feeling of vanity), but rather a deep and abiding realization of all which lite hasoffered us; a full acknowledgment of the responsibility which is ours, and a fixed determination to show that under a free government a mighty people can thrive best, alike as regards the things of the body andthe things of the soulMuch has been given us, and much will rightfully be expected from us. We have duties to others and duties to ourselves, and we can shirk neither. We have become a great nation, forced by the fact of itsgreatness into relations with the other nations of the earth, and we must behave as beseems a people with such responsibilities. Toward all other nations, large and small, our attitude must be one of cordial andSincere friendship. We must show not only in our words, but in our deeds, that we are earnestly desirous of securing their good will by acting toward them in a spirit of just and generous recognition of all theirnights. But justice and generosity in a nation, as in an individual, count most when shown not by the weak but by the strong. While ever careful to refrain from wrongdoing others, we must be no less insistentthat we are not wronged ourselves. We wish peace, but we wish the peace of justice, the peace of righteousness. We wish it because we think it is right and not because we are afraid. No weak nation that actsmanfully and justly should ever have cause to fear us, and no strong power should ever be able to single us out as a subject for insolent aggressionRoosevelt states that "Much has been given us, and much will rightfully be expected from us." What is one example from the text of something that is expected from us?To achieve so large a measure of well-being and of happinessTo pay few of the penalties which in old countries are exacted by the dead handTo show that under a free government a mighty people can thrive bestTo single us out as a subject for insolent aggression sl unit of upthrust and SI unit of pressure which of the following gases pollutes water when dissolved in water(a) carbon dioxide (b) nitrogen (c) oxygen (d) sulphur dioxide which military leader wwas tied to the ship so he would not fall off during a battle v sao DNA ca Prokaryote phi siu xon Can someone help me please Jenni was startled by the sudden, loud barking made by a large black dog. Every time she saw a large black dog after that, she felt anxious and jumpy. She also began to feel the same way when she say any brown, medium sized doges. This change in her conditioned response is known as ___________. In a high school graduating class of 300, 200 students are going to college, 40 are planning to work full-time, and 80 are taking a gap year. a. These are mutually exclusive events. b. These are not mutually exclusive events. c. You should add their individual probabilities. d. None of the above are true. if f(x)=x+7 and 9(x)=1/x-13 what is the domain of (fg)(x) it isn't necessary to finish the work today. -> you don't have... Delivering oxygen through a two pronged tube secured in place by wrapping the tubing behind the ears is called In which way do interest groups influence public policy by going door to door totalk to people about important issues?A. litigation B. ballot initiativesC. public education Determina las caractersticas de la picaresca presentes en el siguiente textol era un clrigo cerbatana, largo solo en el talle, una cabeza pequea () los ojos avecindados en el cogote, que pareca que miraba por cuvanos, tan hundidos y escuros, que era buen sitio el suyo para tiendas de mercaderes (); las barbas descoloridas de miedo de la boca vecina, que, de pura hambre, pareca que amenazaba a comrselas; los dientes, le faltaban no s cuntos, y pienso que por holgazanes y vagamundos se los haban desterrado; el gaznate largo como de avestruz, con una nuez tan salida, que pareca se iba a buscar de comer forzada de la necesidad; los brazos secos, las manos como un manojo de sarmientos cada una. COMPLETE THE SENTENCES. USE THE WORDS IN THE BOX.-enough -too many -more -most -too much -not -not many -too -enough -too1. He drinks __________________ coffee its really unhealthy. 2. Sally is the ____________________ attractive girl in our class. 3. My dad doesnt eat __________________ vegetables. 4. Shes overweight because she eats ______________________ hamburgers. 5. My brother is _____________________ extrovert than me. 6. My mum says I cant go trekking in the Andes. Its ________________ dangerous. 7. My sisters only fourteen. Shes ___________________ old enough to fly by plane on her own.8. We cant go out yet. Its ______________________ wet. 9. I bought some CDs, but _______________________. 10.I dont do a lot of exercise, but I think Im healthy ___________________. A right triangle has sides 20 and 48. Use the Pythagorean Theorem to find the length of the hypotenuse 12. In cell A14, use the INDEX function and structured references to display the value in the first row and first column of the AcademicGroups table. i need help with these two questions Find the quotient of 90 over -10 Jenny puts 8 stickers on each page of her note book. She uses 72 stikers in all which equation can be use to find the number of in jennys note book Carbon dioxide gas is collected at 27.0 oC in an evacuated flask with a measured volume of 30.0L. When all the gas has been collected, the pressure in the flask is measured to be 0.480atm. Calculate the mass and number of moles of carbon dioxide gas that were collected.