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

19-5/2x = 34 Solve for X

Answers

Answer: -6

Step-by-step explanation:

The solution is: solve of the equation 19-5/2x = 34 is: x = -6.

Here, we have,

given that,

the equation is: 19-5/2x = 34

now, we have to solve this.

so, we have,

19-5/2x = 34

isolating the like terms, we get,

5/2 x = 19- 34

or,  5/2 x = - 15

dividing both side by 5 we get,,

x/2 = -3

cross-multiplying, we get,

x = -6

Hence, The solution is: solve of the equation 19-5/2x = 34 is: x = -6.

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Solve x^2 = 196 and c^3 = 216.
A) x = 14; c = −6
B) x = ±14; c = 6
C) x = ±14; c = ±6
D) x = ±14; no solution for c

Answers

The answer is: B. x=+_14; c=6

Hope this helps, happy holidays!! :p


The answer is B !!!


Is the following relation a function, yes or no?
{(-3,4),(3,1),(5,7), (8,9), (10, 12)}
yes
no

Answers

The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.

✯the following is a function, so yes.

Answer:

yes

Step-by-step explanation:

what is n-4-9
(simply each expression)
:)​

Answers

Answer:

n-14 ;)

Step-by-step explanation:

The simplified form of the given expression is n-13.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression, n-4-9, we need to write this expression in the simplest form,

We can add -4 and -9, to write it in the simplest form,

n-4-9

= n-(4+9)

= n-13

Hence, the simplified form of the given expression is n-13.

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Parker owns a food truck that sells tacos and burritos. He sells each taco for $3.25 and each burrito for $7. Yesterday Parker made a total of $552 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.

Answers

Answer:

let t= the number of tacos sold

let b= the number of burritos sold

3.25t+7b=552

b=2t

Step-by-step explanation:

Since there were twice as many burrito sold as tacos sold, there were more burritos sold, so if we multiply by 2 the number of tacos sold, we will get the number of burritos sold, meaning b=2t.

The system of equation should be considered as the  3.25t+7b=552 and the value of b should be equivalent to 2t.

Calculation of the equation:

here we assume that

t= the number of tacos sold

And, b= the number of burritos sold

As per the situation, the equation be like

3.25t+7b=552

b=2t

So,

put b value in the first equation

3.25t + 14t = 552

t = 3.01

And, b = 1.51

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Tom's baseball team wins 5 out of every 12 games they play. If the team played 36 games, how many games did Tom's team win?

Answers

Answer:

Tom's team won 15 games

Step-by-step explanation:

divide 36 by 12 to find out how many every 12 games there are then multiply that number by five.

I subtract 14 from a
certain number. I multiply
the result by 3. The final
answer is 3 What was the
number​

Answers

Answer:

x = 15

Step-by-step explanation:

Let the number be x.

(x - 14) x 3 = 3

3x - 42 = 3

3x = 45

x = 15

This is a question on forming and solving an algebraic equation. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

The unknown number could be 15.

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given; I subtract 14 from a certain number. I multiply the result by 3. The final answer is 3 .

Let the unknown number be x.

(x - 14) x 3 = 3

3x - 42 = 3

3x = 45

x = 15

Hence, the unknown number could be 15.

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NEED HELP ASAP PLEASE!!!
An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?

323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E

Answers

Answer:

a) 323 kph with a directional bearing of S 22° E

Step-by-step explanation:

to find the ground speed:

just do the pythagorean theorem.

c²=300²+120²

c²=104400

c=323

to find the directional bearing:

use the law of sines!

sin(90)/323 = sin(θ)/120

(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)

cross multiply:

120sin90=323sin(θ)

divide 323 on both sides:

sin(θ)=0.3715

use inverse sin to find out degree measure:

sin⁻¹(0.3715)=21.8

rounds up to 22.

The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.

To find the ground speed of the plane, we need to know what a vector is

What is a vector?

A vector is a variable that has both magnitude and direction.

Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.

Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i

Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.

What is a resultant vector?

A resultant vector is the sum of two or more vectors.

So, V' = v + V

V' = (-120 kph)i + (-300 kph)j

So, its magnitude V' = √(x² + y²) where

x = -120 kph and

y = -300 kph.

So, V' = √[(-120 kph)² + (-300 kph)²]

= √[14400 kph² + 90000 kph²]

= √(104400 kph²)

= 323.11 kph

≅ 323 kph

The direction of the plane

Its direction, Ф = tan⁻¹(y/x)

Ф = tan⁻¹(-300 kph/-120 kph)

Ф = tan⁻¹(2.5)

Ф = 68.2°

From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°

So, the directional bearing of the plane is S22°E.

So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.

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find the length of an arc of 40° in a circle with an 8 inch radius​

Answers

Answer:

8π/9                                plz give brainlies.

Step-by-step explanation: luv u (:

The square of a number is 12 less than 7 times the number. What is the number? –4 or –3 –4 or 3 –3 or 4 3 or 4

Answers

Answer:

Answer: D (3 or 4)

Step-by-step explanation:

a) The y-intercept of the line with the largest slope
is _____
b) For the two lines with a negative slope, the difference
in the value of their x-intercepts is _____
c) For the line with the y-intercept -3, its equation in
slope-intercept form is ____
d) For the line with a slope of 2, the input of _____
gives an output of 17

Answers

Answer:

a) the largest y-intercept is 1

b) 13.5

c) y=x-3

d) 8

Step-by-step explanation:

the question was worded very strangely and I will answer the way I precieved it.

for question d, I simply considered the question to be asking what is X when y is 17 and since the equation of that line is 2x-1

If a check is written for 2023 does the cheque have to wrong date or just post dated.

Answers

Answer:

it is post-dated

Step-by-step explanation:

PLEASE HELP MEE!!! Which ordered pair is a solution to the linear system? –4x – 5y = 12 and 6x + 5y = 2



A)


(7,7)


B)


(7,–8)


C)


(–8,–6)


D)


(–8,–7)

Answers

Answer:

The answer is negative 8 and negative 7

S is the centroid of triangle NQL.
Q What is the length of NR?
P
N
4 units
In - 12
8 units
3n
36 units
S
R
48 units
M M
L

Answers

Answer:

The answer is 36 units.

Step-by-step explanation:

Got it correct on edg

H
1499
S
R
104°
?
T
Find the measure of angle T.

Answers

According to my examination I have confirmed that I do NOT repeat do NOT know the answer to this question. Good luck!

Grace jump 66 times a minute. Zoe jumps 56 times a minute. They both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump

Answers

Answer:

Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Step-by-step explanation:

Let Grace jumped for x minutes and Zoe jumped for y minutes

Grace jump no. of times in 1 minute = 66

Grace jump no. of times in x minutes = 66x

Zoe jump no. of times in 1 minute = 56

Zoe jump no. of times in x minutes = 56x

We are given that Their jumps today and together they jump 1266 times in the total of 21 minutes

So, x+y=21  ----1

66x+56y=1266  ---2

Substitute the value of x from 1 in 2

66(21-y)+56y=1266

y=12

x+y=21

x+12=21

x=21-12

x=9

Hence Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Answer:

Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Step-by-step explanation:

I REALLY NEED HELP (I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER)
evelyn knits hats and scarves for charity. she records the time it takes and the amount of yarn needed to make one of each item. Last winter Evelyn knitted for 180 hours. She used 2,520 yards of yarn. How many hats and scarves did Evelyn knit?

Answers

Answer:

i need data

Step-by-step explanation:

What is 11712.60 rounded off to 2 significant figures??

Answers

Answer:

12000

Step-by-step explanation:

the population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001. using the function find the number of fish is the pond in 2014

[tex]p(t)=\frac{1125}{1+12e^{-0.17t} }[/tex]

Answers

Given :

The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex]    ...1)

To Find :

Find the number of fish is the pond in 2014.

Solution :

Number of years, t = 2014 - 2001 = 13.

Putting value of t in equation 1), we get :

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]

p(t) ≈ 486

Therefore, number of fish in the pond in 2014 is 486.

Hence, this is the required solution.

HELP ME OUT PLS AND TY

Answers

Answer:

No, the line does not pass (0,0).

No, the line does not pass (0,0)

Brainliest Appreciated!

Answer:

NoNo

I hope this helps!

During a 3 hour period, 2,292 people rode the roller coaster at an amusement park. Which proportions can be used to find x, the number of
people who rode the coaster during a 12-hour period, if the rate is the same.

Answers

Answer:

2,292/3 = x/12

Step-by-step explanation:

if you were to solve

2,292/3 finds you how many people per hour

and multiply that by 12 to find how many people for 12 hours.

Step-by-step explanation:

[tex]\frac{2292}{3} =\frac{x}{12}[/tex]  

cross multiply divide.

x=9168

x² + 4x + 3 = 0

Can someone please help me solve this quadratic equation

Answers

Answer:

Step-by-step explanation:

x= -1 and -3

What when multiplied is +3 but when added is 4? 3 and 1. You then get (x+3)(x+1) is the first part of the answer. If you want to find x, set x+3 to 0. x+3=0. Then subtract 3 from both sides to get x by itself. x= -3. Do the same with the x+1.

An experimenter studies vision in low light by

having participants sit in a darkened room for

either 5, 15, or 25 minutes and then testing their

ability to correctly identify 20 objects. (a) What is

the independent variable here? (b) What are the

conditions? (c) What is the dependent variable?

(d) You would use the scores from which variable

to create a frequency distribution?

Answers

Answer:

Independent variable- time spent in the dark room

Dependent variable - number of objects correctly identified

Conditions of the experiment- low light environment and lighted environments

Scores from the independent variable are used to construct the frequency distribution

Step-by-step explanation:

The independent variable is the factor that is being manipulated in an experiment and this time it is the time spent in a darkened room.

The dependent variable is the response variable, in this case, the number of objects correctly identified.

The experimental conditions involved bringing people from a lighted area into a darkened room.

HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

160

Step-by-step explanation:

20% of 800 = 0.20 * 800 = 160

Kim earns $48 washing 8 dogs. At this rate, how much does Kim earn washing 7 dogs?​

Answers

Answer:42 dollars

Step-by-step explanation:

Answer:

42 dollars

Step-by-step ex

Which expression uses the associative property to make it easier to evaluate 8(1\2 · 1\3)? HELP PLZZZZ ​

Answers

Answer:

(8x1/2)1/3

Step-by-step explanation:

i took the quiz

f(x) = 9x^3 + 2x^2 - 5x + 4 and g(x) = 5x^3 - 7x + 4

What is f(x) - g(x)? Show all of your steps and write final answer in factored form.

Answers

Step-by-step explanation:

f(x) - g(x)

9x³+2x²-5x+4 - (5x³-7x+4)

9x³+2x²-5x+4 - 5x³+7x-4

4x³+2x²+2x

2x(2x²+x+1)

please help , giving brainliest and a thanks!!

Answers

Answer:

E

Step-by-step explanation:

When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.

Answer:

BDE, absolute value is how far away it is from 0 so it is BD and E

Step-by-step explanation:

It says select all that apply aswell which is why there is more then one answer

Using the attached graph, find g−1(20) =

A. 4.0
B. 8
C. 4.2
D. 10

Answers

A.4.0 i would say but srry if wrong

What is the slope of this table?
х у
-2 15
-116
0 -3
1 -12
2 -21
3 -30

Answers

The would be -3,, because your doing y2-y1 over x2-x1
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