Simplify the expression: (4x2 - 3x + 1) - (3x2 - 5x + 4)

Answers

Answer 1

Answer:

x² + 2x - 3

Step-by-step explanation:

Step 1: Write expression

(4x² - 3x + 1) - (3x² - 5x + 4)

Step 2: Distribute negative

4x² - 3x + 1 - 3x² + 5x - 4

Step 3: Combine like terms (x²)

x² - 3x + 1 + 5x - 4

Step 4: Combine like terms (x)

x² + 2x + 1 - 4

Step 5: Combine like terms (constants)

x² + 2x - 3


Related Questions

What is 74 divided by 12?plz help I need this assignment done before 3:30 and it’s 2 hours until time

Answers

Answer:

6.16.

Step-by-step explanation:

hope this helps.

Answer:

37/6

Step-by-step explanation:

A construction worker needs to move 120 ft squared (3) of dirt by using a wheelbarrow. One
wheelbarrow load holds 8 ft squared(3) of dirt and each load takes him 10 minutes to complete
. One
correct way to figure out the number of hours he would need to complete this job is

Answers

Answer:

it would take him 1.5 hours (an hour and 30min.)

Step-by-step explanation:

120 divided by 8 = 15

15 divided by 10 = 1.5

The number of hours he would need to complete this job is 2.5 hours.

What is PEDMAS rule?

"PEDMAS is an order of operation used in mathematics to deal easily with complex calculations. It states that we start solving any arithmetic expression by solving the terms written in parentheses or brackets and then we simplify exponential terms and move ahead to division and multiplication operations and then, at last, we can find the answer by solving addition and subtraction operations."

According to the question

A construction worker needs to move 120 feet squared (3) of dirt by using a wheelbarrow.

One wheelbarrow load holds 8 feet squared(3) of dirt and each load takes him 10 minutes to complete.

Writing the above statement in mathematical form

= (120 ÷ 8) × 10

By using PEDMAS rule, we get

= 15 × 10

= 150 mins

= 150 ÷ 60

= 2.5 hours

Thus, the number of hours he would need to complete this job is 2.5 hours.

Learn more about PEDMAS rule here

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What number is 10 times greater than 12,052

Answers

Answer:

120,520

Step-by-step explanation:

Answer:

120520

Step-by-step explanation:

because 12052*10

Find the slope of the line passing
through (2,5) and (-3, -6).

Answers

Answer:

the slope of the line passing through the points (2,5) and (-3,-6) is 11/5

Step-by-step explanation:

(y2-y1)/(x2-x1)

(-6-5)/(-3-2)

-11/-5

11/5

What is the midpoint of P(-3,-7) and Q(3,-5)

Answers

Answer: See Screenshot

Step-by-step explanation:

What is the 8th term in the pattern 1,2,5,10,17

Answers

Answer:

50

Step-by-step explanation:

There are 18 girls in Mr. Brimley's math class. If 40% of the students are girls, what is the best estimation for the number of boys in the class?
A. 20
B. 30
C. 40
D. 50

Answers

Answer:Its B I got It right on my test

Step-by-step explanation:

A person jogs 1/5 mile in 1/40 hour. The person's speed is (blank) miles per hour

Answers

Answer:

8 miles per hour

Step-by-step explanation:

1/5 x 40 = 8

Multiply the following binomials together :(x+1)(x+3)

Answers

Answer:

x²+4x+3

Step-by-step explanation:

(x+1)(x+3)

x²+3x+1x+3

x²+4x+3

Please answer this correctly without making mistakes

Answers

Answer:

50%

Step-by-step explanation:

Answer:

50 present

Step-by-step explanation:


In AIJK, i = 850 inches, j = 250 inches and ZK=80°. Find the length of k, to the
nearest inch

Answers

Answer:

843

Step-by-step explanation:

a conference hall has 33 rows.the last row contains 80 seats each row has two fewer seats than the row behind it.how many seats are there second to the last row?​

Answers

Answer:

there are 84 seats in the  second to the last row

Step-by-step explanation:

Given that

each row has two fewer seats than the row behind it

It means that

if first row has x seats then

no of seat in second row has (x-2) seats.

and similarly

no of seat in third  row =no of seat in second row - 2seats.

no of seat in third  row = (x-2) seat - 2 seats = x - 4 seats

_____________________________________________

Given that

last row has 80 seats

let the number of seat in first to the last row be x

then number of seat in last row = x-2

we know number of seat in last row = 80

thus

x - 2 = 80

x = 82

Thus,

the number of seat in first to the last row is 82

Similarly let the number of seat in second to the last row be y

then number of seat in first to the  last row = y-2

since number of seat in first to the last row is 82

thus

y-2 = 82

y = 82 + 2 = 84

Thus, there are 84 seats in the  second to the last row.

_________________________________________________

How do you do this question?

Answers

Answer:

Cartesian Equation: y = √(1 - x^2)

Graph: Second one

Step-by-step explanation:

x^2 = sin^2(θ/2),

y^2 = cos^2(θ/2),

According to that theory, by the circle equation, x^2 + y^2 = 1^2.

When θ = -π, x = sin(-π/2) = - 1, and y = cos(-π/2) = 0

When θ = π, x = sin(π/2) = 1, and y = cos(π/2) = 0

The radius is 1 in this case, (x^2 + y^2 = r^2 -> x^2 + y^2 = 1^2 -> x^2 + y^2 = 1) as the semicircle ranges from (- 1, 0) to (1,0). Therefore your graph is the second one;

When theta = 0, x = sin 0 = 0, and y = cos 0 = 1, so the semicircle passes through (0, 1). To determine the equation, let's simply isolate "y" in the equation x^2 + y^2 = 1^2,

In Cartesian form, the equation is  y = √(1 - x^2)

Suppose that COP and TOD are vertical angles, m COP = 11x - 17
and m TOD = 9x + 11.

Determine the Measure of COD
Determine the measure of POT

Answers

Answer:

Step-by-step explanation:

If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.

m COP  =  m TOD

Given

COP = 11x - 17

TOD = 9x + 11.

Substitute:

11x-17 = 9x+11

11x-9x = 11+17

2x = 28

x = 28/2

x = 14

Get <COD

<COP = 11(14)-17

<COP = 154-17

<COP = 137

<COD = 180-<COP

<COD = 180-137

<COD = 43°

Similarly:

<POT = 180 - <TOD

<POT = 180 - [9(14)+11]

<POT = 180 - 137

<POT = 43°

What is the image of figure B after a -90° rotation about the origin?
A B
B. X
C. Y
D. Z

Answers

I think it would be x. Hope this helped

Answer:

D.  Z

Step-by-step explanation: Just took the practice test

I need help with my homework

Answers

The value of X=37

hope this helps :)

X= 12^2 + 35^2

= √1369

= 37

Answer:

37

Step-by-step explanation:

Pythagorean Theorem:   a²+b²=c², with a and b being the 2 shortest sides of the triangle, and c being the longest.

a²     b²       c²

12² + 35² = 1369

Once you have c², you need to find the square root of c² to get c.

The square root of 1369 is 37. c=37

what is the unit rate of Y= -10x

Answers

Answer:

"-10 units per unit increase in x"

Step-by-step explanation:

That "-10" is the rate of change:   "-10 units per unit increase in x."

what is the opposite of the integer 62?

Answers

Answer: -62

Step-by-step explanation:

Answer:

-62 is the correct answer

ALGEBRA 2

There were 350 tickets sold for the spring concert at the local high school. Adult tickets cost $4.00 each, student tickets cost $2.50 each, and senior tickets cost $2.00 each. There were 40 fewer senior tickets sold than student tickets. If a total of$1,095 was collected from tickets, write the linear systems that could be used to find the number of each type of ticket sold

Answers

Answer:

[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]

Step-by-step explanation:

Let's define our variables. Let a represent the number of adult tickets sold, s represent the number of senior tickets sold, and r represent the number of senior tickets sold.

We know that a total of 350 tickets were sold. So, the number of adult, student, and senior tickets sold must total 350. Therefore, we can write the following equation:

[tex]a+s+r=350[/tex]

We know that each adult ticket costs $4, each student ticket costs $2.50, and each senior ticket costs $2. We are given that a total of $1095 was collected. Therefore, the number of tickets multiplied by their respective price must equal $1095. So, we can write the following equation:

[tex]4a+2.5s+2r=1095[/tex]

Finally, we know that 40 fewer senior tickets were sold than student tickets. So, however many students tickets were sold, we can subtract 40 to get the number of senior tickets sold. Therefore:

[tex]r=s-40[/tex]

So, our system of equations is:

[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]

And we're done!

what is the product of 50x0.08 M​

Answers

Answer:

4

Step-by-step explanation:

4 sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie sjsjjsowoaoskfjrjdudjrjwiwowoeie

the width of a rectangle card is 2cm less than the length and the area is 35cm²​

Answers

Given :

The width of a rectangle card is 2cm less than the length and the area of rectangle is 35cm²[tex].[/tex]

To Find :

We have to find length and breadth of rectangle.

Solution :

Let length of the rectangle be x cm.

Given that, width is 2cm less than the length.

∴ Width = (x - 2) cm

➤ Area of rectangle :

Area = Length × Width

⭆ Area of rectangle = 35

⭆ length × width = 35

⭆ x × (x - 2) = 35

⭆ x² - 2x - 35 = 0

⭆ x² - 7x + 5x - 35 = 0

⭆ x(x - 7) + 5(x - 7) = 0

x = 7 or x = -5

We know that, length can't be negative.

∴ Length of rectangle = 7cm

Width = x - 2 = 7 - 2

∴ Width of rectangle = 5cm

Hope It Helps!

Luna brought all her savings with her to ieme, in euros,
For the first week, she spent the same amount of money
each day. The table shows how much Luna had left at the
end of each day
What was the initial value of Luna's savinge?

A.) 35 euros
B.) 350 euros
C.) 315 euros
D.) 80 euros

Answers

Answer:

The answer is B. 350 euros

Step-by-step explanation:

350 euros was the initial value of Luna's savings. Thus option B is correct.

What is the sum?

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The data that is presented suggests that there will not be a change in the first week this remains still at 315. They left out the amount that was 35.

Therefore the initial amount of the savings that the person has was the sum of both amounts.

= 315 + 35

= $350

Therefore, option B is the correct option.

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Luna brought all her savings with her to Rome, in euros. For the first week, she spent the same amount of money each day. The table shows how much Luna had left at the end of each day. What was the initial value of Luna's savings? Day Euros ? 315 1 2 280 3 245 4 210 5 175 6 140 7 105 35 euros 315 euros 80 euros 350 euros

In a random sample of 26 ​people, the mean commute time to work was 34.8 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a​ t-distribution to construct a 98​% confidence interval for the population mean mu. What is the margin of error of mu​? Interpret the results.

Answers

Answer:

September 28 e release ang module to the top of the page for the first time in the world of Worcester cathedral during the period of the page for the first time in the world to see if you can find a way to get a hold of me for a few days to get to the top of the page for the first time in the world to see if you can find a way to get a hold of me for a few days to get to the top of the page

Answer:

Step-by-step explanation:

population mean is 32.9, 36.7

margin of error is 1.9

solve for x

cx+(1/2c)(1/4x)+20=170

Answers

Answer:

x = 400/(3 c)

Step-by-step explanation:

Solve for x:

(9 c x)/8 + 20 = 170

Hint: | Isolate terms with x to the left-hand side.

Subtract 20 from both sides:

(9 c x)/8 = 150

Hint: | Solve for x.

Divide both sides by (9 c)/8:

Answer: x = 400/(3 c)

³√3000- ³√375 simplify​

Answers

Answer:

30√30 - 15√15

Step-by-step explanation:

I'm not 100% sure

Answer:

We can write³√3000- ³√375 as [tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]

[tex]\sqrt[3]{5*5*5*2*11}-\sqrt[3]{5*5*5*3}[/tex]= [tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex]

[tex]5\sqrt[3]{22} -5\sqrt[3]{3}[/tex] is the simplest form of ³√3000- ³√375

blake ran laps around the gym

Answers

What’s the question tho

One half of a number (use x) is equal to 8 less than the same number.

Answers

Your answer is 16
1/2(16)=8-16
8= 8✅

6 (x – 3) = 4(x – 4) + 2 (x - 1)

Answers

Answer: Infinitely many solutions

Step-by-step explanation:  0 = 0

Many Solutions
0=0
them will help :)

8. The area of a square weightlifting platform is 16 m2. a) Sketch the platform. What are its dimensions? b) What is the perimeter of the platform?

Answers

Answer:

Step-by-step explanation:

Area of a square platform = Length × Length

A = L² (note that all the sides of a square are equal)

Given

A = 16m²

L² = 16

L = √16

L = 4m

Hence the dimension of the square is 4m by 4m (use the dimension when sketching the diagram. Al the sides is the diagram must be the same i.e 4m)

Perimeter of the square = 4L

P = 4(4)

P = 16m

Hence the perimeter of the platform is 16m

What additional information is needed to prove the triangles are congruent by ASA?

Answers

Answer:

The additional information that needed is m∠ABD = m∠CDB ⇒ C

Step-by-step explanation:

In the given figure

Triangles ADB and CBD are congruent by ASA under these conditions

m∠ADB = m∠CBDDB = BD ⇒ the side joining the congruent anglesm∠ABD = m∠CDB

Let us see the given to find the correct answer

∵ ∠ADB and ∠CBD have the same mark

∴ m∠ADB = m∠CBD ⇒ (1) given

∵ Side DB is a common side in the two triangles

∴ DB = BD ⇒ (2) given

∵ ∠ABD and ∠CDB are the angles at the end of BD

m∠ABD must equal m∠CDB ⇒ (3) to prove the congruency using ASA

The additional information that needed is m∠ABD = m∠CDB

Answer:

To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.

Step-by-step explanation:

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