Subtract the polynomials. (x2+3x−7)−(3x2−5x+3)

Answers

Answer 1

Answer:

-2x^2+8x-10

Step-by-step explanation:

(x^2+3x−7)−(3x^2−5x+3)

Distribute the minus sign

(x^2+3x−7)−3x^2+5x-3

Combine like terms

-2x^2+8x-10

Answer 2

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ - 2 {x}^{2} + 8x - 10}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( {x}^{2} + 3x - 7) - (3 {x}^{2} - 5x + 3)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses

⇒[tex] \sf{ {x}^{2} + 3x - 7 - 3 {x}^{2} + 5x - 3}[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{2} - 3 {x}^{2} + 3x + 5x - 7 - 3}[/tex]

⇒[tex] \sf{ - 2 {x}^{2} + 8x - 10}[/tex]

Hope I helped!

Best regards!!


Related Questions

Identify the incorrect Algebra forms that multiplication is represented in the expressions 5 times 3x.
A 5(3x)
B (5) x (3x)
C (5)3x
D 5(3)(x)

Answers

Answer:

5 x 3x = A 5(3x)

Step-by-step explanation: () = multiply

EX: 6(8) = 48

There were 7 songs on one side of a record. It took 20 minutes and 18 seconds to play the side. What is the average number of seconds per song?

i will mark brainliest ​

Answers

Answer:

174 seconds.

Step-by-step explanation:

So there was a total of 7 songs.

And it took a total of 20 minutes and 18 seconds to play them all.

20 minutes and 18 seconds is the same as 20(60)+18=1218 seconds.

Thus, the average number of seconds per song was:

[tex]1218/7=174[/tex]

174 seconds,

or about 2 minutes and 54 seconds.

On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was the temperature on Sunday? How did the temperature change?

Answers

Answer:

the temp on Sunday was 85, it changed by going down 2 degrees, and up 5 degrees

Step-by-step explanation:

when it says -2 degrees F its basically saying subtract 2, and then go on and add 5

Answer:

it was 85 goes up by 3

Step-by-step explanation:

△ABC and △JKL have corresponding equal angles. Side length BC is twice the length of side KL. Which statement is true? A. △ABC and △JKL are similar. B. △ABC and △JKL are congruent. C. There is not enough information to know if they are similar or not. D. △ABC is a dilation of △JKL by a factor of 12

Answers

Answer:

A. △ABC and △JKL are similar.

Step-by-step explanation:

Since three angles of one triangle are congruent to three corresponding angles of the other triangle, the triangles are either congruent or similar. Since the side of one triangle is twice the length of the corresponding side of the other triangle, then the triangles are not congruent, but they are similar.

A. △ABC and △JKL are similar.

Answer:

. △ABC and △JKL are similar.

Step-by-step explanation:

Represent the following sentence as an algebraic expression, where "a number" is the
letter x.
The difference of 3 and a number.

Answers

Answer: 3 - x

Step-by-step explanation: With

Subtraction be careful. 3 - x is not the same as x - 3. You have to keep the values given in order.

Y=2x +7
Find the x interception

Answers

Answer:

Step-by-step explanation:

hello :

the x interception for Y=2x +7 when Y=0  means : 2x +7=0

so   x = -7/2

solve the following equation for x : 2x -:3y = 6
a ) x = 3/2y + 3
b ) x = 3/2y - 3
c ) x = - 3/2y - 3
d ) x = - 3/2y + 3 ​

Answers

I’m pretty sure it’s x=3+3y/2

A grocery store has small bags of apples for 5$ and large bags of apples for 8$. If you buy 6 bags of apples and spend 45$, how many of each bags did you buy?

Answers

Answer:

He bought 1 small bag and 6 large bags.

Step-by-step explanation:

We can set up 2 equations with the given information.

5x+8y=45

x+y=6

We can rearrange the second equation to solve for x.

x=6-y

Now we substitute x for 6-y in the first equation

5(6-y)+8y=45

30-5y+8y=45

30+3y=45

y+10=15

y=5

x=1

He bought 1 small bag and 6 large bags.

If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.

Please show all work and not just the answers.

Answers

Answer:

x = 2

AB = 15

BC = 15

AC = 30

Step-by-step explanation:

Given that B is the midpoint of AC, then AB = ½ of AC.

AB is given as 3(3x - 1),

AC = 5(2x + 2),

Therefore:

[tex] 3(3x - 1) = \frac{1}{2}*5(2x + 2) [/tex]

Solve for x

[tex] 9x - 3 = \frac{5}{2}(2x + 2) [/tex]

Multiply both sides by 2

[tex] 2(9x - 3) = \frac{5}{2}(2x + 2)*2 [/tex]

[tex] 18x - 6 = 5(2x + 2) [/tex]

[tex] 18x - 6 = 10x + 10 [/tex]

[tex] 18x - 10x = 6 + 10 [/tex]

[tex] 8x = 16 [/tex]

Divide both sides by 8

[tex] x = 2 [/tex]

[tex] AB = BC = 3(3x - 1) [/tex]

Plug in the value of x

[tex] AB = BC = 3(3(2) - 1) [/tex]

[tex] = 3(6 - 1) = 3(5) = 15 [/tex]

[tex] AC = 5(2x + 2) [/tex]

[tex] AC = 5(2(2) + 2) [/tex]

[tex] AC = 5(4 + 2) = 5(6) = 30 [/tex]

a line of best fit for the data is y=0.9x-4.5, where x represents age in year, and in years, and y represents hourly pay, in dollars.Based on the data, what is the best prediction for the hourly pay of a 25 year old?

Answers

Answer:

$18

Step-by-step explanation:

Given:

y = 0.9x - 4.5

Where,

x = age in years

y = hourly pay in dollars

what is the best prediction for the hourly pay of a 25 year old?

That is, find y when x=25

y = 0.9x - 4.5

= 0.9(25) - 4.5

= 22.5 - 4.5

= 18

y = $18

The prediction for the hourly pay of a 25 year old is $18

Answer:

$18:00

Step-by-step explanation:

Thank You To The Guy Above Me

What is the solution to the given inequality? one-half minus one-fourth x is greater than or equal to negative one-fourth x –1 x ≤ –1 x ≥ 3 x ≤ 3

Answers

Answer:

x ≤ 3

Just took the assignment, i hope you have a good day :)

Answer:

D.x ≤ 3

Step-by-step explanation:

Write the equation of a line that is perpendicular to y= 2/3x + 3 and passes through the point (4, -8).

Answers

Answer:

Step-by-step explanation:

Perp. : -3/2

y + 8 = -3/2(x - 4)

y + 8 = -3/2x + 6

y = -3/2x - 2

Plz, help ASAP!!! WILL MARK U BRAINLIST IF UR ANSWER IS CORRECT Question #2

Answers

Answer:

Graph 2 contains a function, but graphs 1 and 3 do not (1st Option).

Step-by-step explanation:

In order for a graph to be a function, it must pass the Vertical Line Test. Every x-value must have it's own y-value.

This means that 2 different y-values cannot have the same x-value.

If I am in Vermont, then I am in the North.
Write the converse of the conditional. Choose the correct answer below.
O A. If I am not in Vermont, then I am not in the North.
O B. If I am in the North, then I am not in Vermont.
C. If I am not in the North, then I am not in Vermont.
D. If I am in the North, then I am in Vermont.

Answers

The correct answer is D.

This is because a converse statement switches the places of the hypothesis and conclusion.

what is the square root of 655.36​

Answers

Answer: 25.6

Step-by-step explanation: Have an Amazing Day :)

Answer:

25.6 this will be the answer

Step-by-step explanation:

Hope it helps

there is a circular path around a sports field Soniye X 18 minutes drive one round of the field while Ravi takes 12 minutes for the same the first they both started the same point in same time I am going the same direction after how many minutes will they meet again at the starting point​

Answers

Yes it is 14 The answer to the question

A 3/4 pound box contained 36 fruit
tarts. How many tarts would be in a
one-pound box?

Answers

We could divide 36 by 3 and we would get 12. That means there are 12 tarts in a 1/4 pound box. We would add 12 tarts to 36 to get a one pound box and the answer comes out to be 48.

Look at image for question

Answers

Answer:

              P = 19.76 units

Step-by-step explanation:

1. Finding  [tex]\overrightarrow{AB}[/tex]  (or [tex]\overrightarrow{BA}[/tex]):

[tex]\overrightarrow{AB}=\overrightarrow{OA}-\overrightarrow{OB}= \left[\big5\atop\big3\right]-\left[\big2\atop-\big5\right]= \left[\big5-\big2\atop\big3-(-\big5)\right]=\left[\big3\atop\big8\right][/tex]

2. Calculating length of  [tex]\overrightarrow{OA}\,,\ \overrightarrow{OB}\ \text{and}\ \overrightarrow{AB}[/tex]:

[tex]|\overrightarrow{OA}|=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}\approx5.831\\\\ |\overrightarrow{OB}|=\sqrt{2^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}\approx5.385\\\\ |\overrightarrow{AB}|=\sqrt{3^2+8^2}=\sqrt{9+64}=\sqrt{73}\approx8.544[/tex]

3. Calculating perimeter:

[tex]P=|\overrightarrow{OA}|+|\overrightarrow{OB}|+|\overrightarrow{AB}|=\sqrt{34}+\sqrt{29}+\sqrt{73}\approx5.831+5.385+8.544=19.76[/tex]


A health club charges an initiation fee of $50. Members then pay $45 per month. You have $400 to spend on a health club membership. For how many months can you afford to be a member? Let n represent the number of months you can pay for a membership.

Answers

Answer:

8 months

Step-by-step explanation:

In this problem we must first of all write the inequality that describes the problem.

Given that

1. you have a limit of $400

2. there is an initial fee of $50

3. monthly payment is $45

let the number of months be n

therefore

[tex]50+45n\leq 400\\\\45n\leq 400-50\\\\45n\leq350[/tex]

Divide both sides by 45 we have

[tex]n\leq \frac{350}{45} \\\\n=\frac{70}{9} \\\\n= 7.77\\\\[/tex]

approximately you are going to be member for 8 months

How many pounds of blueberries can you buy for $13.00?

Answers

Well have many blueberries does it take to make one lbs?

Answer:it would be 3 1/4 pounds of blueberries

Step-by-step explanation:

Which statement is supported by the histograms? The two data sets have the same distribution and same range. The two data sets have the same distribution but different ranges. The two data sets have different distributions but the same range. The two data sets have different distributions and different ranges.

Answers

Answer:

The two data sets have different distributions and different ranges.

Step-by-step explanation:

When you subtract for both of the ranges they are different numbers. So that's the second part. The numbers along the bottom are different too so that is the different distributions.

Answer:

The two data sets have different distributions and different ranges.

Step-by-step explanation:

The shape of the data for German male adult heights is skewed left, but the shape of the data for female adult heights is close to symmetric. So, the two data sets have different distributions.

Each data set has the same minimum height of 145 centimeters. However, the maximum male adult height is 220 centimeters, and the maximum female height is 185 centimeters. So, the two data sets have different ranges.

In 201620162016, the city of Rio de Janeiro had a population density of 5377\,\dfrac{\text{people}}{\text{km}^2}5377 km 2 people ​ 5377, start fraction, start text, p, e, o, p, l, e, end text, divided by, start text, k, m, end text, squared, end fraction . What was the population density of Rio de Janeiro in people per square meter?

Answers

Complete question:

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.

What was the population density of Rio in people per square meter?

Answer:

0.005377 peope/m²

Step-by-step explanation:

Given that :

Population density of Rio in 2016 = 5377 people/km²

To obtain population density in people per square meter, we convert 5377people/km² to people per m²

Recall:

1000 m = 1km

Hence,

5377 people/km² = 5377 people / (1000²)m

= (5377/1000000)people/m²

= 0.005377 peope/m²

Answer:

0.005377

Step-by-step explanation:

KHAn

PLEASE SOLVE THIS PROBLEM ​

Answers

Answer:

18) Area= 5*5/2=25/2=12.5 unit ^2

19) Area=AB^2V3/4=8a^2*V3/4=2V3a^2

Step-by-step explanation:

18. A(-3,0)

B(1,-3)

C(4,1)

AB=V(-3-1)^2+(0+3)^2=V16+9=V25=5

AC=V(-3-4)^2+(0-1)^2=V49+1=V50=5V2

BC=V(1-4)^2+(-3-1)^2=V9+16=V25=5

so AB=BC=5

and AC^2=AB^2+BC^2

so trg ABC is an isosceles right  angle triangle (<B=90)

Area= 5*5/2=25/2=12.5 unit ^2

19. A(a,a)

B(-a,-a)

C(-V3a, V3a)

AB=V(a+a)^2+(a+a)^2=V4a^2+4a^2=V8a^2

AC=V(a+V3a)^2+(a-V3)^2=Va^2+2a^2V3+3a^2+a^2-2a^2V3+3a^2=V8a^2

BC=V(-a+V3a)^2+(-a-V3a)^2=V8a^2

so AB=AC=BC

Area=AB^2V3/4=8a^2*V3/4=2V3a^2

Daily twos:
Independently simplify this expression and be ready to share your answer and
the strategy used: 10 1/2 - 3/4

Answers

Answer:

  9 3/4

Step-by-step explanation:

Strategy: first cancel the fraction part of the mixed number, then subtract the remaining fraction from the integer obtained.

10 1/2 - 3/4 = 10 1/2 - 1/2 - 1/4

= 10 -1/4

= 9 3/4

__

Strategy: turn the subtracted fraction into a whole number by adding 1/4 to both parts of the problem, then subtract the whole number.

10 1/2 - 3/4 = (10 1/2 +1/4) -(3/4 +1/4)

= 10 3/4 -1

= 9 3/4

_____

We assume that you know that 1/2 + 1/4 = 3/4, or 3/4 -1/2 = 1/4. If you need to, you can get there by using the equivalent: 1/2 = 2/4.

Of the students at Milton Middle School, 110 are girls. If 50% of the students are girls, how many total students are there at Milton middle school

Answers

Answer:

220

Step-by-step explanation

Solve for x: 4 over 5 x + 4 over 3 = 2x x =
Answer Write your answer as a fraction in simplest form.


(write x = 'answer')

Answers

Answer:

over 5 x + 4 over 3 = 2x

can't find x

Hi McDa:

Here's a couple hints. (I have no idea what you already understand. Please check out our posting guidelines.)

Express the Natural number 3 in Rational form 3/1.

4

5

x

+

4

3

1

=

2

x

Regarding the left-hand side above, have you learned the property that says we may multiply by the reciprocal of 3/1, instead of dividing by 3/1?

Step-by-step explanation: Incorrect? Let me know!

hey please help!! Thank you <33

Answers

Answer:

4+6j

Step-by-step explanation:

[tex]4+(6\times j)\\4+6j[/tex]

Please help me solve this geometry proofs question quickly!

Answers

Answer:

AA Theorem

Step-by-step explanation:

In order to prove AB/AE = AC/AD, we need to prove that the triangles are similar. The AA Theorem says that if two triangles share two congruent angles, then the triangles are similar. The given states that ∠ABE ≅ ∠ACD, which means these two angles are congruent.

For the second angle, both triangles have the angle by point A. These angles can be written as ∠A ≅ ∠A. These angles are congruent because of the reflexive property.

Because we have proven these triangles to be simliar, we know the proportion AB/AE = AC/AD is correct because corresponding sides of similar triangles are proportional.

please help lots of points

Answers

Answer:

see below

Step-by-step explanation:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

FOIL

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Answer:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

solve equation by taking square roots n^2+4=40

Answers

Answer:

n = ±6

Step-by-step explanation:

n² + 4 = 40

n can be solved by finding the square root

n²  = 40 - 4

n²  = 36

n = √36

n = ±6

Other Questions
all of the following were parts of structure of the articles of confederation EXCEPT a-unicameral legislative bodyb- equal representation c- one vote per individual stated- an executive branch What is the periodic table and why is it neccessary? The Jennings Group reacquired 2 million of its shares at $50 per share as treasury stock. Last year, for the first time, Jennings sold 1 million treasury shares at $51 per share. If Jennings now sells the remaining 1 million treasury shares at $47 per share, by what amount will retained earnings decline Please Help! I'm stuck! Determine the standard form of the equation of the line that passes through (-7,8) and (0,-8) here is a scale of a fountain at a museum. the scale is 1:30. how many boulders are in the real fountain A 0.40 kg bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy? Find a fundamental matrix solution for the system x 0 1 7x1 + 4x2 + 12x3, x 0 2 x1 + 2x2 + x3, x 0 3 3x1 2x2 5x3. Then find the solution that satisfies x(0) h 0 1 2 i . i will GIVE THE BRAINIEST Without simplifying, select all the expressions that represent a rational number. 50pts. A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?" Let c represent the number of cows. Which equation represents the situation?c + 2 = 16 2c2=162(c+2)=16 2c + 2 = 16 The holders of ZZZ Corporation's bonds with a face value of $1,000 can exchange that bond for 35 shares of stock. The stock is selling for $25.00. What is the conversion price "A customer directs his broker to "Sell 100 shares of ABCD stock and use the proceeds to buy 100 shares of XPDQ stock." This is a:" In your own words give your definition of what you think the word health means What year did James Naismith invent basketball? A: 1891B: 1892C: 1890D: 1893 brainlist if CORRECTIf [x] + x + y =10 AND \y] + x - y =12 then find the value of x + y During an initial interview of hobbies, a person with schizophrenia tells the OTA that he has suicidal thoughts. What is the OTA's FIRST response? Represent "The product of 5 and a number z" mathematically. what is the input set of a function called ANSWER SOON THIS IS A TEST QUESTION! I'll award brainliest Ingrid is a nursing assistant working with Dena, a patient who recently broke her leg. Ingrid gives Dena her crutches, covers them with padding, and takes her to physical therapy. On the way, she moves a few gurneys that are in the path. When Dena finishes physical therapy, Ingrid immediately helps her back to her room. Ingrid covered most of the caregiving goals. What additional action could she do to make sure that she is covering all of the caregiving goals? Answer choices: A. cheering Dena on after she walks down the hall B. taking Dena to the dining hall after therapy C. walking slowly down the hall with Dena D. offering Dena other exercise classes PLEASE HELP ME FAST!!!!!!!A student conducted an experiment to test whether talking to plants would help them to grow faster. He set up the following two groups:Group 1: spoken to and hand watered Group 2: not spoken to and watered with sprinklers After three weeks, the plants in Group 1 showed much more growth than those in Group 2. Based on the results of this expe ment, which is the best conclusion?O They are valid because the student ran a controlled experiment. O They are not valid because the student did not control all the variables that can affect plant growth. O They are valid because the dependent variable caused a change in the independent variable. O They are not valid because the time frame to grow a plant is too short.