solve |5x+30|=10x ......

Solve |5x+30|=10x ......

Answers

Answer 1

Answer:

Option A

Step-by-step explanation:

We need to solve out ,

[tex]\implies |5x + 30| = 10x [/tex]

We can write it as ,

[tex]\implies 5x + 30 = \pm 10x [/tex]

On simplyfing further,

[tex]\implies 5x + 30 = 10x \quad or \quad 5x +30=-10x [/tex]

On solving the above equation , we will get ,

[tex]\implies \boxed{ x = 6,-2}[/tex]

Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .

Option A is correct .


Related Questions

Which of the following rational functions is graphed below?

Answers

Answer:

A)

Step-by-step explanation:

Please help i have exam tom. ​

Answers

Answer:

Step-by-step explanation:

this is a simultaneous equation question

f(1)=8  so  a(1) + b = 8

f(4)=17 so a(4) + b = 17

can you figure this out from here ???

if you can't below is how to solve it

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a + b = 8

4a+b=17

multiply the top equation by 4 and then subtract the bottom one from the top

4a+4b = 32

-(4a +b = 17)

3b = 15

b=5

now plug 5 into the first equation

a + 5 = 8

a=3

there you go :)

Find the area of the kite

Answers

Answer:

the area to the kite is sixty-four

Step-by-step explanation:

multiply the width to the height

Can someone help me with this math homework please!

Answers

Answer:

12

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] x - [tex]\frac{5}{4}[/tex] + 2x = [tex]\frac{5}{6}[/tex] + x

Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions

6x - 15 + 24x = 10 + 12x

Answer:

12

Step-by-step explanation:

[tex]12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)[/tex]

6x-15+24x=10+12x

Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a hormone used to spur milk production. Bauman et al. (Journal of Dairy Science, 1989) reported that 12 cows given bST produced an average of 28.0 kg/d of milk. Assume that the standart deviation of milk production is 2.25 kg/d. (a) Find a 99% confidence interval for the true mean milk production. Round your answers to two decimal places (e.g. 98.76).

Answers

Answer:

The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{2.25}{\sqrt{12}} = 1.67[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 28 - 1.67 = 26.33 kg/d.

The upper end of the interval is the sample mean added to M. So it is 28 + 1.67 = 29.67 kg/d.

The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.

I dont understand what to do?

Answers

Answer:

a) 122°

b) 37°

Step-by-step explanation:

a) supplement angle of 58° = 180° - 58° =122°

b) complement angle of 53° = 90° - 53° = 37°

Which value of w ww makes 14 = 11 + w 8 ⋅ 6 14=11+ 8 w ​ ⋅614, equals, 11, plus, start fraction, w, divided by, 8, end fraction, dot, 6 a tru

Answers

Answer:

w=4

Step-by-step explanation:

I need help very badly. thanks​

Answers

Answer:

Step-by-step explanation:

area of a triangle is  1/2* base * height

1/2* 2.6* 3    is the area of the end of the object , now just multiply by it's length

9*( 1/2* 2.6* 3  )

this looks like choice 3 of the choices  

The students in a school can be arranged in 12, 15 and 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school?

Answers

Hello,

Let's x then number of students.

x is divisible by 12,15,18 thus by 180 (lcm)

x=180*k is a square

2²*3²*5*k= a square ==> k=5

x=180*5=900

Proof:

900/12=75

900/15=60

900/18=50

900=30²

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

Answers

Answer:

{2, 6, 14}

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

To get the range, we will substitute the values of the domain into the given function as shown;

when x = -1

f(-1) = 4(-1)+6

f(-1) = -4+6

f(-1) = 2

when x = 0

f(0) = 4(0)+6

f(0) = 0+6

f(0) = 6

when x = 2

f(2) = 4(2)+6

f(2) = 8+6

f(2) = 14

Hence the required range are {2, 6, 14}

What are the coordinates of R?

Answers

Answer: y,0

Step-by-step explanation:

Find the area of a circle with radius, R = 6.37m.
Give your answer rounded to 2 DP

Answers

Answer:

A = 127.48 rounded

Step-by-step explanation:

Area of a circle:  

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi[/tex][tex](6.37)^{2}[/tex]

A = 127.48 rounded

Answer:

It's 127.47

First we take the radius and square it

6.37^2

then we multiply it by pi

40.5769 x π = 127.47

Please help. I’m lost with this.

Answers

Answer:

35 miles

Step-by-step explanation:

You add up all of the miles on the chart to get 35 miles. Have a great day! I hope this helped.

Question 2 Multiple Choice Worth 1 points)
(01.06 MC)
If D is the midpoint of AB and AB = 15, what is AD?

Answers

Answer:

If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.

Factor 2x^2 +15x +25 = 0​

Answers

Answer:

Step-by-step explanation:

(2x + 5)(x + 5) = 0

2x + 5 = 0

2x = - 5

x = -5/2

x + 5 = 0

x = -5

In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply

Answers

Doesn’t apply because tan is TOA meaning opposite/adjacent so what happens is that your numbers 17 and 20 are divided nowhere having to do with a square root

Find K if x + 1 is a factor of P(x) = Kx^2-x+2

Answers

Answer:

[tex]K=-3[/tex]

Step-by-step explanation:

According to the Factor Theorem, a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.

We have the polynomial:

[tex]P(x)=Kx^2-x+2[/tex]

And we want to find the value of K such that (x + 1) is a factor.

We can rewrite our factor as (x - (-1)). Thus, a = -1.

Then in orer for (x + 1) to be a factor, P(-1) must equal 0. Hence:

[tex]P(-1)=K(-1)^2-(-1)+2=0[/tex]

Simplify:

[tex]K+1+2=0[/tex]

Solve for K. Hence:

[tex]K=-3[/tex]

Which of the following equations have no solutions?
Choose all answers that apply:
Α.
5x + 5 = -42 – 5
B
-4x + 5= -42 - 4
–4x + 5 = -4x – 5
D
4x + 5 = -4x + 5

Answers

Answer: b and c

a) 5x + 5 = -4x - 5

9x = - 10

x = -10/9

-

b) - 4x + 5 = -4x - 4

0x = -9 (no solution)

-

c) -4x + 5 = -4x - 5

0x = -10 (no solution)

-

d) 4x + 5 = -4x + 5

8x = 0

x = 0

-

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Write a recursive rule for the sequence.
x, x, 2x, 3x, 5x, 8x, ...
I know that it adds its last term but I don't know the rule/formula to show that.

Answers

Answer:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Step-by-step explanation:

This is the fibonacci sequence with each term times x.

Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.

That is:

1x+1x=2x

1x+2x=3x

2x+3x=5x

3x+5x=8x

So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.

f(1)=1x since first term of f is 1x

f(2)=1x since second term of f is 1x

Yes, I'm naming the sequence f.

So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...

Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.

So in general f(n)=f(n-1)+f(n-2).

So the full recursive definition is:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

6 students were asked the age of their oldest sibling:

21, 31, 26, 24, 28, 26.

Arrange the scores from lowest to highest.

Find the following. LABEL you answers. Q1, Q2, Q3, IQR, and Range.

Q1=

Q2 (median)=

Q3=

IQR= Q3- Q1

IQR=

Range: Max score - Min score

Range =

HELP ASAP PLEASE

Answers

Answer:

Q1= 31 AND 28

Q2= 26 AND 26

Q3= 24 AND 21

Step-by-step explanation:

Your plane leaves Boston (Eastern Standard Time) at 7:00am, bound for Los Angeles (Pacific Standard Time). The flight takes 5 hours. What is time when you arrive in Los Angeles

Answers

Answer:

The plane arrives Los Angeles at 9:00 am

Step-by-step explanation:

The Pacific Standard Time (PST) in Los Angeles is 3 hours earlier than the Eastern Standard Time (EST) in Boston

Therefore,

7:00 am at Boston = 4:00 am in Los Angeles

If the plane takes 5 hours

What is time when you arrive in Los Angeles

The plane arrives Los Angeles at 4:00 am + 5:00 hours

= 9:00 am

The plane arrives Los Angeles at 9:00 am

I don’t get this pls helppppppp!!!!!!!!!!!!

Answers

Answer:

1) f(x)<x+4

f(x)>-x-3

f(x)<5

[tex]ANSWER: (-3,4)[/tex]

2)2.5>0+2

2.5<0+3

2.5<0+5

[tex]ANSWER: (0,2.5)[/tex]

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

HOPE IT HELPS

HAVE A GREAT DAY!!

2.4x-15=1
3. 2y+3= -11
4.2y+7= -7
5. 3w+3=3

Answers

Answer:

2. x=4

3. y= -7

4. y = -7

5. w = 0

Step-by-step explanation:

2.

4x-15=1

4x=16

x=4

3.

2y+3= -11

2y=-14

y= -7

4.

2y+7= -7

2y = -14

y = -7

5.

3w+3=3

3w = 0

w = 0

2. x=4

step-by-step:
4x-15=1
4x=16 (add 15 to both sides)
x=4 (divide both sides by 4)

3. y=-7

step-by-step:
2y+3=-11
2y=-14 (subtract 3 from both sides)
y=-7 (divide both sides by 2)

4. y=-7

step-by-step:
2y+7=-7
2y=-14 (subtract 7 from both sides)
y=-7 (divide both sides by 2)

5. w=0

step-by-step:
3w+3=3
3w=0 (subtract 3 from both sides)
w=0 (divide both sides by 3)

hope this helps!

Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is $17.99.
What is the percent increase in the cost due to the fee?

Answers

Answer: hello there here is your answer:

7%

Step-by-step explanation:

if you divide the difference between the two numbers it will give you a decimal ....you need to convert that decimal into a percent which is 7%

hope this help have a good day bye

Answer:

the other person is correct

Step-by-step explanation:

What is the value of y in the equation y = 3x - 2. whenx = 2? *​

Answers

Answer:

4

Step-by-step explanation:

y=3x-2

y=3(2)-2

y=6-2

y=4

Answer:
y=4

Explanation:
x=2
3x = 3 times by x = 2x3
2x3=6
6-2=4
Therefore y = 4

What is the answer?? I need help

Answers

Answer:

∠EFD

Step-by-step explanation:

Δ ABC similar ΔDEF

Trick is to keep the letters in the same order. A for D, B for E, and C for F

∠BCA

Where is the B?

second.

What's the second letter in other triangle?

E.

C is the third. F is the third in the other.

A is first. D is first.

El resultado de 3^2∙3^2 es:

Answers

Answer:

3^2 x 3^2 = 81

3^2 = 3 x 3 = 9

9 x 9 = 81

Answer:

[tex]3^{2} \times3^{2}[/tex]

[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex]

[tex]Answer: 81[/tex]

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

hope it helps...

have a great day!!

Miguel's scores on his first three math
PACE Tests were 95, 92, and 90. What
score does he need on his next test to
have a 94 average?

Answers

Answer: 99

Step-by-step explanation:

Fourth PACE Test = x

Since the average of all four tests is 94:

[tex]\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99[/tex]

The perimeter of a square is 80cm
state the length of one of its side

Answers

Answer:

20cm

Step-by-step explanation:

a square has 4 equally long sides.

when we know its perimeter, that means we know the sum of all 4 sides.

since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.

80/4 = 20cm

The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)?
(image should be attached somewhere)

Answers

Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

please mark me as brainliest

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A solid reactant is placed into a beaker of a warm water. The liquid vigorously bubbles as the solid dissolves into the solution. What will most likely happen if the temperature of the liquid is slightly reduced? More bubbles will be produced because the solution is becoming more concentrated.Fewer bubbles will be produced because of fewer collisions of reactant molecules.The solid will get smaller at a faster rate because of more collisions of reactant molecules.The solid will get larger at a slower rate because precipitate is coming out of the solution. if 2/a=1/b-1/d find an expression for d in terms of a and b plz help ASAP with explanation find all missing angles in the following diagram . If R1 = {(x, y)| y = 2x + 7, where x R and -5 x 5} is a relation. Then find the domain and range of R1. A corporate team-building event cost $4, plus an additional $3 per attendee. If there are 39 attendees, how much will the corporate team-building cost? BRAINLEST IF CORRECT Good Note Company specializes in the repair of music equipment and is owned and operated by Robin Stahl. On November 30, 2016, the end of the current year, the accountant for Good Note Company prepared an unadjusted trial balance and an adjusted trial balance.Compare the unadjusted trial balance to the adjusted trial balance. Journalize the seven entries that adjusted the accounts at November 30. None of the accounts were affected by more than one adjusting entry. Refer to the Chart of Accounts for exact wording of account titles.Adjusted Trial BalanceGood Note CompanyADJUSTED TRIAL BALANCENovember 30, 2016 ACCOUNT TITLE DEBIT CREDIT1 Cash 38,250.002 Accounts Receivable 89,500.003 Supplies 2,400.004 Prepaid Insurance 3,850.00 5 Equipment 290,450.006 Accumulated Depreciation-Equipment 106,100.007 Automobiles 129,500.008 Accumulated Depreciation-Automobiles 62,050.009 Accounts Payable 26,130.0010 Salaries Payable 8,100.0011 Unearned Service Fees 9,000.0012 Common Stock 100,000.0013 Retained Earnings 224,020.0014 Dividends 75,000.0015 Service Fees Earned 742,800.0016 Salaries Expense 525,000.0017 Rent Expense 54,000.0018 Supplies Expense 8,850.0019 Depreciation Expense-Equipment 11,600.0020 Depreciation Expense-Automobiles 7,300.0021 Utilities Expense 14,100.0022 Taxes Expense 8,175.0023 Insurance Expense 10,400.0024 Miscellaneous Expense 9,825.0025 Totals 1,278,200.00 1,278,200.00Chart of AccountsCHART OF ACCOUNTSGood Note CompanyGeneral Ledger ASSETS11 Cash12 Accounts Receivable13 Supplies14 Prepaid Insurance16 Equipment17 Accumulated Depreciation-Equipment18 Automobiles19 Accumulated Depreciation-Automobiles LIABILITIES21 Accounts Payable22 Salaries Payable23 Unearned Service Fees EQUITY31 Common Stock32 Retained Earnings33 Dividends REVENUE41 Service Fees Earned EXPENSES51 Salaries Expense52 Rent Expense53 Supplies Expense54 Depreciation Expense-Equipment55 Depreciation Expense-Automobiles56 Utilities Expense57 Taxes Expense58 Insurance Expense59 Miscellaneous ExpenseJournalShaded cells have feedback.Compare the unadjusted trial balance to the adjusted trial balance. Journalize the seven entries that adjusted the accounts at November 30. None of the accounts were affected by more than one adjusting entry. Refer to the Chart of Accounts for exact wording of account titles. Can someone help me with this math homework please! The difference between the set of non-negative real numbers and the set of positive real numbers is:A.an infinite set B.a null set C.a singleton set D.Null set what is an enzyme controlled biochemical pathway? The following data relates to Black-Out Company's estimated amounts for next year. Estimated: Department 1 Department 2 Manufacturing overhead costs $ 300,000 $ 400,000 Direct labor hours 60,000 DLH 80,000 DLH Machine hours 1,000 MH 2,000 MH What is the company's plantwide overhead rate if machine hours are the allocation base If the smallest angle of a triangle is 20 and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest side of the triangle is _____. Which quotation best develops the concept that all men deserve freedom?"'Have not I as good a right to be free as you have?'""'You will be free as soon as you are twenty-one, but I am a slave for life! '""'...if you teach that [slave] (speaking of myself) how to read, there would be no keeping him.'""From that moment on, I understood the pathway from slavery to freedom." Which of the following do all living things share?A. The same shapeB. The same organsC. The need to breatheD. The same elements Find the volume of the composite solid. Round your answer to the nearest hundredth. A. 22.5mm^3 B. 22.19mm^3 C. 22.53mm^3 D. 22.54mm^3 On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour. Let X be the number of arrivals per hour on a weekend night at this hospital. Assume that successive arrivals are random and independent. What is the probability P(X < 3)? During its first year of operations a company recorded accrued expenses totaling $375,000 for book purposes. For tax purposes, $175,000 of the expenses are deductible during the first year of operations and $200,000 are deductible during the second year of operations. The enacted income tax rate was 21% during the first year of operations and 25% during the second year of operations. The balance sheet at the end of the first year of operations will report a deferred tax: 4. Paper is solid in packets labelled 80 g/m2. This means that a sheet of paper of area10 000cm? has a mass of 80 g. The thickness of each sheet is 0.11mm. What is thedensity of the paper?A 0.073 g/cm?B 0.088 g/cmC 0.73 g/cm3D 0.88 g/cmB 3x+7>10Solve for x.