Use long division to find the quotient (16x3 + 4x2 - 144) / (4x - 8)

Answers

Answer 1

Answer:

[tex] - 22 x - 8[/tex

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Answer 2

Answer: 4x^2+9x+18

Step-by-step explanation: yes


Related Questions

Kim is solving the absolute value inequality |2x – 1| + 3 2x –1 rather than –3 –2.

Answers

Answer:fbf

Step-by-step explanation:


Brianna received the following test scores: 42/50, 80/100, and 75/90
She needs an average
of at least an 85% to qualify for a scholarship to U of M. What must be her
minimum score on her fourth and final test in order to qualify for the scholarship?

1) Change the fractions to percents :

2) Set up and solve your inequality:

3) Explain what your solution means for Brianna?

Answers

Answer:

answer

Step-by-step explanation:

80/100 - 80%

the sum of two numbers is 32 when 5 is subtracted from fourth and one of the number the result is 8 times the other number find the difference between the two numbers​

Answers

We will need to use the substitution method to solve the question. The difference between the two numbers is 11.5

Substitution method is used to solve a system of equations. First the equation is solved for one variable and then the value is used in the other equation to solve for the other unknown variable. In this question we have been told the sum of two numbers is 32. Let us take the two numbers as x and y. Then we can say that

x+y=32 ...(i)

Next we know that when 5 is subtracted from 4 times one number the result is 8 times the other number, we can write it as

4x-5=8y

4x-8y=5....(ii)

So we have two equations

x+y=32

4x-8y=5

We will multiply equation (i) by 4 to cancel out x and solve for y

4x+4y=128

4x-8y=5

(-)  (+)   (-)

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

    12y=123

y=10.25

We substitute the value of y in equation (i)

x+y=32

x+10.25=32

x=32-10.25=21.75

We need to find the difference between two number which is x-y=21.75-10.25=11.5

Therefore we found out by substitution method that the difference between the two numbers is 11.5

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Look at photo (10 points)

Answers

m perpendicular to q is the correct answer

Answer:

A, C and D

they all connect at a right angle. it is not b because p and q are parallel.

Mrs smith invested r60 000 at a bank for two years with compound interest.in the first year she received an interest rate of 4,3% per annum while in the second year the interest rate was 5,1 per annum mrs smith stated that she would have enough money at the end of second year to pay the residual value of the ford figo show all calculations whether het statement is correct

Answers

By using the formula of compound interest we can say that at the end of second year Mrs. Smith will have $65,771.58.

What is Compound Interest?

The interest earned from the initial deposit plus the cumulative interest is known as compound interest.

A = P(1 + r/n)^(nt), where P is the principle balance, r is the interest rate, n is the number of times interest is compounded per time period, and t is the total number of time periods, is the formula for compound interest.

Given that,

For first year,

P (principal) = $60,000.00

R = 4.3%

n  = 1

t = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 4.3/100

r = 0.043 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 60,000.00(1 + 0.043/1)^(1×1)

A = 60,000.00(1 + 0.043)^(1)

A = $62,580.00

A = P + I  where,

P (principal) = $60,000.00

I (interest) = $2,580.00

So, by the end of second year Mrs. Smith will have $62,580.00.

Now, the amount calculated from first year will become the principle for second year.

For second year,

P (principal) = $62,580.00

R = 5.1%

n=1

t=1

First, convert R as a percent to r as a decimal

r = R/100

r = 5.1/100

r = 0.051 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 62,580.00(1 + 0.051/1)^(1×1)

A = 62,580.00(1 + 0.051)^(1)

A = $65,771.58

A = P + I where,

P (principal) = $62,580.00

I (interest) = $3,191.58

So, by the end of second year Mrs. Smith will have $65,771.58.

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Use your answer to part a) to solve x squared + 7x + 12 = 0

Answers

Answer:

The is -12/7 or -1 5/7

Step-by-step explanation:

7x+12=0

-12 -12

7x=-12 divided by 7 on both sides hope this helps

elliot borrowed $3800 from the bank for 3 years at a 4.25% simple interest rate?

Answers

$161.50

Step-by-step explanation:

4.25% of $3800 is $161.50

PLS HELP ASAP 60 POINTS AND I'LL GIVE BRAINLIEST! What can you notice about the circumcenter, incenter, orthocenter, and centroid of a triangle? What can you notice about their relationship?

Answers

Answer:

The centroid is always between the orthocenter and the circumcenter. The distance between the centroid and the orthocenter is always twice the distance between the centroid and the circumcenter. In obtuse triangles, the circumcenter is always outside the triangle opposite the largest....

Rounded to the nearest tenth, the solutions of the equation are
.

Answers

Answer:

-.2, 2.4

Step-by-step explanation:

answer on edge

Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi

Answers

Answer:

147 gallons

Step-by-step explanation:

21 miles x 7 gallons

Last one!! please help!!! Thanks

Answers

Answer:

B) angle R=angle U  C) angle S=angle V  E) QR=TU  F) QS=TV,

Step-by-step explanation:

Barinda is considering running for student government. However, she knows she will have to work about 10 hours fewer per week if elected, and she makes $ 7 an hour. The campaign will also cost her about $100 in campaign buttons and posters. What is her opportunity cost for serving on student government if elected if she actively serves for 30 weeks?

Answers

Answer: $2,200

Step-by-step explanation:

The opportunity cost is the sum of the amount she spent on the election and the amount she would lose in total from serving on the student government.

Amount she would lose in wages

= 7 * 10 hours * 30 weeks

= $2,100

Opportunity cost = 2,100 + 100

= $2,200

what error did the student make?? PLEASE HELP ME

Answers

Answer:

He did an error because he multiplied equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

Step-by-step explanation:

Given the system of equations

3x-5y=4

-2x+3y=2

This is what student solved

6x - 10y = 8        Multiply equation 1 by 2

-6x + 3y = 6        Multiply equation by 2 by 3

_________

       -7y = 14

          y = -2

He did an error because he multiplied the equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

NOW, HERE IS THE CORRECT VERSION

6x - 10y = 8        Multiply equation 1 by 2

-6x + 6y = 6        Multiply equation by 2 by 3

_________

       -4y = 14

          y = -2/7

Can anyone please help me with this?

Answers

Answer:

#4 is c

Step-by-step explanation:

bc the slope is negative & they y intercept is 5

Answer:

4. c

5. y=7/8x+1

6. y=-10x

7. y=2.5-7

8. y=1.2x

9. y=-5x-8

Step-by-step explanation:

4. because the graph is in a negative direction and the point is higher than 0

5. non-proportional means it doesn't pass through (0,0)

6. the y-intercept would be 0 so there is no b

7. the slope would be positive because it says it goes from left to right

8. same explanation as 6

9. only one with both a negative slope and y-intercept

Triangle ABC is graphed on a coordinate grid with vertices at A (-2, -4), B (2, -4) and C (0, 2). Triangle ABC is dilated by a scale factor of x with the origin as the center of dilation to create triangle A’B’C with the vertices A’ (-1, -2), B’(1, -2), C’ (0, 1).

Which rule best represents the dilation that was applied to Triangle ABC to create A’B’C’?

(x, y) (2x, 2y)

(x, y) (0.2x, 0.2y)

(x, y) (12x, 12y)

(x, y) (14x, 14y)

Answers

Answer:

The rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

(x, y) → (1/2x, 1/2y)

Step-by-step explanation:

Given the vertices of a triangle

A(-2, -4)B(2, -4)C(0, 2)

After the dilation, the vertices of an image triangle be

A' (-1, -2)B '(1, -2)C' (0, 1)

If we closely observe, we can notice that the image triangle vertices A'B'C' are half of the original triangle ABC.

i.e. (x, y) → (1/2x, 1/2y)

verification

A(-2, -4) → A'(-2/2, -4/2) = A'(-1, -2)

B(2, -4) → B'(2/2, -4/2) = B'(1, -2)

C(0, 2) → C'(0/2, 2/2) = C'(0, 1)

Thus, it is verified and we conclude that the rule which best represents the dilation that was applied to Triangle ABC to create A’B’C’ will be:

(x, y) → (1/2x, 1/2y)

8x-9+53=180 solve for x

Answers

Answer:

x=17

Step-by-step explanation:

1: Simplify both sides of the equation.

8x−9+53=180

8x+−9+53=180

(8x)+(−9+53)=180(Combine Like Terms)

8x+44=180

8x+44=180

2: Subtract 44 from both sides.

8x+44−44=180−44

8x=136

3: Divide both sides by 8.

(8x=136 )/8

x=17

Which transformation does NOT appear to be a rotation?

Answers

Answer:

a

Step-by-step explanation:

bc there zapping at the same spot which will not rotate around

In the equation 4 x 4 = 16, 4 is a

Answers

Answer:

Is a natural Number

Step-by-step explanation:

Answer:

Is a Factor

Step-by-step explanation:

45. find the probability of picking 1 vowel and 4 consonants when 5 letters are picked (without replacement) from a set of alphabet tiles\.\* *you may input your answer as a fraction or rounded to the seventh decimal.

Answers

The required probability is 0.45

We have total 26 letters in English, of which 21 are consonants and 5 are vowels.

According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.

Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.

So the probability is 5/26

Now, a letter has been selected, so in the set, we have 25 letters left.

In the next 4 selections, we must select consonants.

In the second selection the probability is 21/25

In the third selection the probability is 20/24

In the fourth selection the probability is 19/23

In the last selection the probability is 18/22

So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)

Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,

P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45

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Ethan writes 1/6 pages in 1 1/2 minutes.How long will it take him to write a full page?

Answers

Answer:

33 Minutes

Step-by-step explanation:

Just take 11/2 time 6 and get 33 minutes.

x-y+2z=3
-5x+4y-6z=-16
-4x-4y-6z=6
help

Answers

Answer:

x-y+2z=3

Step-by-step explanation:

EZ

four consecutive integers sum to 22 what is the least of these integers

Answers

Answer:

4

Step-by-step explanation:

To get 22 with four consecutive integers, we need the integers 4, 5, 6, and 7.

(4 and 5 equal 9, then 9 and 6 equal 15, and 15 and 7 equal 22.)

4 is the smallest of these four, and thus the least of these.

what is the difference of 2/4 and 1/3?​

Answers

Answer:

2/4-1/3= 6/12-4/12

=2/12

=1/6

1/6 should be your answer because you get 2/12 but you have to simplify

Solve the linear system using Additional Elimination.

3x + 2y = 7
-3x + 4y = 5

Answers

Answer:

x = 1 y = 2

Step-by-step explanation:

3(1) + 2(2) = 7

3 + 4 = 7

-3(1) + 4(2) = 5

-3 + 8 = 5

if an is a monotone sequence and if an has a convergent subsquence then an converges to the same limit

Answers

limₐ→∞xₙₐ= limₙ→∞xₙ= L;

Let xₙ be a monotonically increasing sequence. Thus:

xₙ₊₁≥xₙ

Consider a subsequence of xₙ namely xₙₐ. Then:

xₙₐ≥xₙ, ∀nₐ≥n

We are also given that:

limₐ→∞xₙₐ=L

Given that fact we know that xₙₐ is bounded above. Therefore:

xₙ≤xₙₐ≤L

Now by monotone convergence theorem a monotone bounded sequence must be convergent. Also by uniqueness of a limit for a convergent sequence and the fact that all its subsequences are also convergent to the same limit:

limₐ→∞xₙₐ= limₙ→∞xₙ= L

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Unit #2 - Lesson #7 Exit Ticket: Solve the equation shown below for the variable x. Place your answer in the answer box.​

Answers

Answer:

[tex]x = bc + 2b[/tex]

PLEASE MARK ME AS BRAINLIEST

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

Answers

Answer:

45/100

Step-by-step explanation:

I hope l helped you. ❤❤

If 95 of a is equal to b, then which of the following is ture?
a. 95 a=b b. ab

Answers

Answer: the answer is "a"  95a=b

Step-by-step explanation:

"of" means "multiply":

95a=b

I put 12 when it was actually 11

Answers

Try emailing your teacher to give you credit for it

What is the distance from
33, 5) to (33, -12)

Answers

Answer:

17

Step-by-step explanation:

so x stays the same, so you look at the y integers and to get to the negatives you have to go down 5 times, then 12 more to get to -12. So 5+12= 17

Hope this helps!!!!

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Certainly there have been times when we may have delayed this mutual understanding by being slow to assume a fuller share of our national responsibility because of the denial of full equality. And yet, we have always been loyal when the ideals of American democracy have been attacked. We have given our blood in its defensefrom Crispus Attucks on Boston Commons to the battlefields of France. We have fought for the democratic principles of equality under the law, equality of opportunity, equality at the ballot box, for the guarantees of life, liberty and the pursuit of happiness. We have fought to preserve one nation, conceived in liberty and dedicated to the proposition that all men are created equal. Yes, we have fought for America with all her imperfections, not so much for what she is, but for what we know she can be. ParaphraseOur faith in fundamental change as mutual respect between our races come in the path of awakening. There have been times when we have delayed this understanding by being slow to assume a full share of our national responsibility because of the denial of equality. We have been loyal when the ideals of American democracy have been attacked. We have given our blood in its defensefrom Crispus Attucks on Boston Commons to the battlefields of France. We fought for principles of equality under the law, equality of opportunity, at the ballot box, for the guarantees of life, liberty and the pursuit of happiness. We fought to preserve one nation, in liberty and dedicated to the proposition that all men are created equal. Yes, we have fought for America not for what she is, but for what we know she can be. Why is the above not a good paraphrase of Mary McLeod Bethune's passage? Unlike the recipient's address on the envelope, the inside address typed in a business letterA. includes punctuation.OB. doesn't include a ZIP code.C. uses only lower case letters.D. omits the recipient's name. 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