Rewrite the following expression performing the subtraction.
(5c² - 3c + 9) - (2c²+ 8c - 3)
a) What did you need to distribute to the second polynomial to rewrite?

Perform subtraction. Then, answer:

b) How many terms? in the simplified expression

c) What is the leading coefficient of the simplified expression?

d) What is the degree of the simplified expression?

Answers

Answer 1

Answer:

a) [tex]3c^2-11c+12[/tex]

b) 3 terms in simplified expression

c) 3 is leading coefficient

d) 2 is the degree of simplified expression

Step-by-step explanation:

We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]

a) What did you need to distribute to the second polynomial to rewrite?

We need to multiply - sign with the terms inside the bracket.

Perform subtraction. Then, answer:

[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]

b) How many terms in the simplified expression?

There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]

c) What is the leading coefficient of the simplified expression?

The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3

d) What is the degree of the simplified expression?

The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2


Related Questions

Fifth-grade students plant a class garden. They plant 7 1/6 rows of tomatoes and 3 1/2 rows of carrots. How many fewer rows of carrots than rows of tomatoes do the students plant?

Answers

Answer:

3 2/3

Step-by-step explanation:

7 1/6 - 3 1/2= 3 2/3

I need help for algebra 1, solve for the variable
2x-y=y
(solving for x)

Answers

Answer:

x = y

Step-by-step explanation:

Given

2x - y = y ( add y to both sides )

2x = 2y ( divide both sides by 2 )

x = y

Answer: x=y

Explanation
add y to both sides=2x-y+y=y+y
2x=2y
Divide both sides by 2
2x/2=2y/2
Therefore x=y

help please I do not understand but could someone tell me what to do??

Answers

Answer:

the answer is 4

Step-by-step explanation:

you plug in the 8 into the y variable. Then you divide 8 by 2. The answer comes out as 4.

Will give brainliest.

Answers

Y=2x-4 is the correct slope intercept form answer.

Which is the best description for the graph below?​

Answers

Answer:

The graph decreases everywhere.

Step-by-step explanation:

you use the bottom line first, so start from the bottom and go up to the 3. it's opposite to trick you. think of it as a 9 going to a 3.

Find x when f(x) = 32.

Answers

Answer:

Step-by-step explanation:

i think you are forgetting to put the equation into your question because you cannot find x if y=32 x would be non existent

please help. i would rly appreciate it. :/

Answers

No, they’re not parallel they’re perpendicular if you were to graph them this is what you’d get

Based on the work shown on the left, what is the simplest form of StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot ?

Answers

Answer:

It's A

Step-by-step explanation:

The simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation or expression is √(250c³/9d⁶)

StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot

This can be written as √250c³/√9d⁶

The numerator 250c³ can be written as twenty five times of c square times of ten times of c 25c²×10c and denominator can written as 3d³

√ 25c²×10c/3d³

The square root of 25 is 5

5c√ 10c/3d³

Hence, the simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Sue made a quilt pattern from 16 congruent pieces of cloth shaped like isosceles right triangles. She cut the pieces so that the legs of each triangular piece are 6 inches
long

Answers

Answer:

Option (D)

Step-by-step explanation:

Sue made a quilt pattern comprising 16 congruent isosceles right triangles.

She cuts the pieces of triangle having each leg = 6 inches

By applying Pythagoras theorem in isosceles triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

x² = 6² + 6²

x² = 72

x = √72

x = 8.485

x ≈ 8.5

Option (D) will be the correct option

Answer:

The answer is D. (8.5)

Step-by-step explanation:

Constant of proportionality characteristics what are some?

Answers

Answer: The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

what is the perimeter of this figure? (3.14 for pi)**round ur answer to the nearest whole number

Answers

nearest is 3.2 that is with whole bumber

Can somebody explain how to do this

Answers

Answer:

The answer is 46.

Step-by-step explanation:

First, you will have to add up both functions in order to find the new expression for (g + f)(a) :

g(a) + f(a) = (g + f)(a)

(g + f)(a) = 3a + 3 + 2a - 2

(g + f)(a) = 5a + 1

Next, you have to substitute a = 9 into the function :

(g + f)(9) = 5(9) + 1

(g + f)(9) = 46

State whether the relation is a function: {(1,2), (2,4),(-3,-6), (0,0)). Then
explain why.

Answers

Answer:

[tex]\boxed {\boxed {\sf Yes}}[/tex]

Step-by-step explanation:

According to the definition of a function, each input must have one output.

The input is x and the output is y. Basically, for every x there can only be one y.

The relation given is:

{ (1,2) , (2,4), (-3,-6), (0,0)}

To check if it's a function, make sure each x only appears once.

The x is the first number in a point.

We see that each x (1,2,-3,0) is only listed once, so this must be a function.

Another way to check is by graphing the points and using the Vertical Line Test.

If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.

The points pass the vertical line test, so this is a function.

No estudo da circunferência é muito importante diferenciar diâmetro e raio, muito erros são cometidos pela troca desses conceitos e consequentemente a troca de seus valores. A medida do comprimento de uma circunferência é determinada pela fórmula C = 2 π. R , ou seja comprimento da circunferência é igual ao dobro do valor do π multiplicado pelo valor do raio dessa circunferência. Calcule qual a medida em cm de uma circunferência: a) cujo diâmetro mede 10 cm. b) cujo raio mede 12 cm. c) cujo diâmetro mede 2 cm. d) cujo raio mede 5 cm.

Answers

Explicação passo a passo:

A circunferência de um círculo é expressa como mostrado;

C = 2πR

R é o raio

Em termos de diâmetro;

C = πD

D é o diâmetro

a) Se o diâmetro for 10cm

Circunferência C = π (10)

C = 10 (3,14)

C = 31,4cm

b) Se o raio for 12cm

C = 2πR

C = 2π (12)

C = 24π

C = 24 (3,14)

C = 74,36cm

c) Se o diâmetro for 2cm

Circunferência C = π (2)

C = 2 (3,14)

C = 6,28cm

d) Se o raio for 5cm

C = 2πR

C = 2π (5)

C = 10π

C = 10 (3,14)

C = 31,4cm

10. A certain strain of bacteria occurs in all raw milk. Tests of uncontaminated raw milk conducted by the Health Department found that the bacteria count per milliliter is normally distributed with a mean of 3500 and standard deviation of 300. a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk? b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400? c) For this normal distribution, what is the percentage of the area under the normal curve for a bacteria count per milliliter less than zero? As bacteria count cannot be less than 0, is this small enough to disregard when claiming that the bacteria count per milliliter is normally distributed? Explain your answer.

Answers

Answer:

a) 0.21078

b) 21.078%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean of 3500 and standard deviation of 300.

a) What is the probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk?

For x = 3200

z = 3200 - 3500/300

z = -1

Probability value from Z-Table:

P(x = 3200) = 0.15866

For x = 3400

z = 3400 - 3500/300

z = -0.33333

Probability value from Z-Table:

P(x = 3400) = 0.36944

The probability of finding a bacteria count of between 3200 and 3400 in a milliliter of raw milk

P(x = 3400) - P(x = 3200)

= 0.36944 - 0.15866

= 0.21078

b) What percentage of the uncontaminated raw milk has a bacteria count per milliliter between 3200 and 3400?

We convert the answer in part a) to percentage

= 0.21078 × 100

= 21.078%

can someone please help me winner gets (Brainllest)

Answers

Answer:

For the first one wouldnt it be like:

ht=10(r)+5

Step-by-step explanation:

i need help if right I will give you brainiest ​

Answers

Answer:

[tex]5\sqrt{5}i[/tex] or D

Step-by-step explanation:

[tex]\sqrt{-125} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-125}=\sqrt{-1}\sqrt{125}\\\\=\sqrt{-1}\sqrt{125}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{125}i\\\\=5\sqrt{5}i[/tex]

Please help:) Due soon!:)
Is it:
A: y-4= -2/3(x+3)
B: y-2= -2/3(x-6)
C: y+4= 2/3(x-3)
D: y+6= 2/3(x-2)

Answers

The answer is c I believe

Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 minus 12.5x can be used to represent the amount of money Stephan owes on the loan, where x is the number of weeks that Stephan pays towards the loan.

Answers

Answer:

Stephan adds $12.50 per week to the amount he owes on the loan and will pay back the loan in 125 weeks.

Step-by-step explanation:

jfbhbljeknoke;fknjabilfj keabuph9uiownpijqbofb

PLS HELP I REALLY NEED HELP PLS!
When you add 3/10 and 9/10 together, what is the sum? (In lowest terms)

Answers

Answer:

1 1/5 or 12/10

Step-by-step explanation:

310+910=?

The two fractions have like denominators so you can add the numerators.

Then:

3+910=1210

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 10 using

GCF(12,10) = 2

12÷210÷2=65

The fraction

65

is the same as

6÷5

Convert to a mixed number using

long division for 6 ÷ 5 = 1R1, so

65=115

Therefore:

310+910=1 1/5

Hope this Helps!

Answer:

1   1/5

Step-by-step explanation:

trust me i did the test and got a passing grade

A farmer's market is selling peaches for $2.00 a pound. If you buy 2 pounds, you save 10% on each pound. How much does it cost to get 2 pounds of peaches?

Answers

Answer:

3.60

Step-by-step explanation:

Hi can someone please help me with this question!!!!! Please!
I will mark you brainlest

Answers

Answer:

C. 40

Step-by-step explanation:

Start with multiplying the 120 students who took the computing and networking courses with 1160 hours. 120 times 1160 = 139200

That means that 139200 hours of the 164800 hours are by the students who took computing and networking classes, so now we have to subtract.

164800 - 139200 = 25600

Now divide 25600 with 640, because 25600 is the hours for the business course. 25600/640 = 40

So there's 40 students

Write the equation of the line that goes through (-2, 0) and (4,3).


A.) y=-1/2x
B.) y=1/2x+1
C.) y=2x+1
D.) y=x+1/2

Answers

Answer:

B

Step-by-step explanation:

I just put in in the desmos graphing calculator



Problem

The formula for the remaining volume of fuel in a car's tank is I-E\cdot DI−E⋅DI, minus, E, dot, D, where III is the initial volume of fuel, EEE is the fuel efficiency, and DDD is the distance traveled.

Carson drove a distance of 120120120 kilometers. He initially had 303030 liters of fuel, and his car's fuel efficiency is 100100100 cubic centimeters per kilometer.

What calculation will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters?

Answers

Answer:

18 litres

Step-by-step explanation:

The formula for the remaining volume of fuel in a car's tank is expressed as;

V = I - E.D

where;

I is the initial volume of fuel,

E is the fuel efficiency, and;

D is the distance traveled.

Given

I = 30 litres

1m³ = 1000L

x = 30L

x = 30/1000

x = 0.03m³

I = 0.03m³

E = 100cm³/km

E = 100*10^-6m³/km

E = 10^-4m³/km

E = 10^-4m³/1000m

E = 10^-7m²

D = 120km

Convert km to metres

D = 120km = 120,000m

Substitute the results into the formula;

V = I - E.D

V = 0.03 - (10^-7)(120,000)

V = 0.03 - 0.012

V= 0.018 m³

Convert 0.018 m³ to litres

Since 1 m³ = 1000L

0.018 m³ = y

cross multiply;

y  = 1000 * 0.018

y = 18 litres

Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres

The cost of a pencil box is $2.50. The function f(x) = 2.5x gives the cost of x pencil boxes. Identify the domain, range, and graph of this function.

Answers

Answer: hey want to talk

Step-by-step explanation:

Lily was shopping and saw the following prices on different packages of the same item as shown in the diagram below

Answers

Answer:

Package B has a unit rate of $1.50 per bag

Step-by-step explanation:

its the correct answer if its wrong deal with it

A ticket for the spring musical is $4.50. Which table show the relationship between the number of tickets purchased and the total price paid?

Answers

Answer:

mwe.n pa konen men tenyen ooooo

A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):



if the bank charges 5.3% interest each year?

Answers

Answer:

the balance of the loan be after one year is $7897.5.

Step-by-step explanation:

The sum of five times a number and seven is 107. Find the number.

Answers

5x + 7 = 107
5x = 100
X = 20
The number is 20

Answer:

20.

Step-by-step explanation:

Let the number be x.

5x + 7 = 107

5x = 107 - 7

x = 100 / 5

x = 20

Hope this helped!

5% of 60 is what number?

a . 6
b . 5
c . 3
d . 60

Answers

Answer: The answer is 3

Step-by-step explanation:

Other Questions
Which best describes deforestation?the loss of a large area of trees from droughtthe loss of a large area of trees to grasslandsthe alteration of a large area of trees into desertthe removal of a large area of trees for human use Which colonial region had the largest area of land? a Southern Colonies. b Middle Colonies c New England How do I solve this equation? How did charity motivate Georgia Trustees to found the Georgia Colony?The British hoped to give poor and indebted British people a new start in the New World.The trustees wanted to grow enough food in the Georgia Colony to feed the poor in Britain.The trustees planned to convert American Indians to Christianity, which the British considered charitable.The trustees wanted escaped slaves from other colonies to settle there, but colonists treated them poorly. How many molecules are in 210 grams of CO2? Which of the following is not one of theissues faced when getting supplies forthe railroad?A Native American attacks were common.B Southern warships attacked.C It was a 14,000 mile journey.B It took four months to make the journey. Which is most likely the result of millions of metal atoms crowding together so that molecular orbitals become combined? 5 - ways in which sea water is useful? Which words are used to form a compound subject or compound predicate?when, whereand, orthe, thatwith, of Bauxite is used to make __________.A.electrical wiringB.aluminumC.steelD.jewelry Please select the best answer from the choices providedABCD How does the setting of "Home" help to reveal how Hattie and Evelyn are different? A: Evelyn's memories of the past are better than Hattie's. B: Hattie is better able to adapt to new circumstances than Evelyn. C: Evelyn is quicker than Hattie to adjust to a new situation. D: Hattie is good at comforting her sister when she is upset. Hi, anyone able to help with qn 7? Thanks :)! 6^-6/6^-5 in the form 6^n PLEASE HELPFill in the blanks in the following sentences with the logical word(s).1. C'est le cahier_______Sophie.2. Ce sont les papiers________tudiants.3. C'est la carte_________prof de gographie, Madame Lebrun.4. Vous________(faire) toujours vos devoirs.5. Nous__________(faire) beaucoup de sports.6. Tu_________(acheter) beaucoup de livres?7. Non, je_________(prfrer) aller au cinma.8. Il est__________(really) petit.9. Elles travaillent_________(too much).10. Tu adores les livres. Tu aimes beaucoup faire_______(reading). B is the midpoint of AC, D is the midpoint of CE, and AE = 21.Find BD. The diagram is not to scale.Please help Geometry Which sentence would be the best closing sentence in the paragraph below?A good piano is a work of art, so it must be taken care of. It must be polished regularly and tuned at least yearly. If a piano is nottuned, it will eventually be lower in pitch than it was originallyOA. Other instruments, such as guitars and cellos, must also be tuned regularly.OB. Keep the lid of the piano closed to minimize dirt falling into the case.OC. Many piano manufacturers advise against a regular furniture polish.OD. Tuning may cost some money, but maintaining your instrument is important. Which layer is between the asthenosphere and the outer core?A. CrustB. Inner coreC. LithosphereD. Mesosphere serently or what ever your name is please friend me again. I accidentally rejected it almost due. would appreciate help please :)!! How do I Find x, y and z