Error Analysis - Describe and correct the error a student made when multiplying two

binomials.


(2x + 2) (4x - 1)

8x ² - 2

Answers

Answer 1

Answer:

The correct answer is:

Error made: The student multiplied only corresponding terms in each bracket with each other

Correction: Each term in one bracket is to be multiplied with every term in the next bracket

Step-by-step explanation:

The student paired the terms in the brackets into like terms and multiplied the like terms like this:

(2x + 2) × (4x - 1)  

collecting like terms: (2x, 4x) (2, -1)

(2x × 4x) (2 × (-1)) = 8x² - 2.

The above is the wrong way of expanding the bracket. The correct way of doing it is as follows:

(2x + 2) (4x - 1)

Each term in one bracket multiplies each term in the second bracket.

= 2x (4x - 1) + 2(4x -1)

= 8x² - 2x + 8x - 2

= 8x² + 6x - 2


Related Questions

Translate triangle ABC 4 units right and 5 units down H E L P

Answers

New Coordinates are:
A (-2, 5)
B (0, 1)
C (2, 5)
Sry if my handwriting is hard to read but the following coordinates above is the same as the coordinates in the picture! I hope this help! Have a nice day!

Roadsign cast of shadow that is 4 feet tall at the same time a 6 foot man standing next to the sign cast a shadow of those 2.4 feet long right and solve a proportion to find how tall the sign is

Answers

Answer:

10 feets

Step-by-step explanation:

Given that:

Road sign shadow (Rs) = 4 feets

Height of man (Hm) = 6

Man shadow (Ms) = 2.4 feets

Height of road sign (Hr) = x

Height of road sign / shadow of road sign = height of man / shadow of man

Hr/Rs = Hm / Ms

x / 4 = 6 / 2.4

Cross multiply :

4*6 = 2.4*x

24 = 2.4x

x = 24 / 2.4

x = 10 feets

Hence, height of road sign = 10 feets

find lowest common factor multiply of 12 and 36​

Answers

Answer:

12

Step-by-step explanation:

please help meeeee and show your work :)

Answers

Answer:yes because the slopes od the lines are the same but the y intercepts are differen.

Step-by-step explanation:

when you connect (5,8) and (13,24) then (3,3) and (7,11) they insect what the the lines. so C yes because the slopes of the lines are the same but y intercepts are different

PLEASE HELP DUE IN 1 HOUR :( I WILL GIVE CROWN TO BEST ANSWER
Ken is using tiles to cover a 6-foot by 3-foot section of a floor.
A. If he uses 1-foot square tiles, how many will be in each row of tiles?

B. How many rows of tiles will he use?

C. How many tiles will he use to cover the whole section?

Answers

i think its C how many tiles will he use to cover the whole section

PLEASE ANSWER
The team bus is carrying 15 players. Only
sophomores, juniors, and seniors are on the team bus.
There is one more sophomore than juniors. The
number of seniors is one more than the sum of the
number of juniors and sophomores. How many juniors
are there?

Answers

Answer:

there are 3 Juniors, 4 sophomores and 8 seniors

Find FD(round to the nearest tenth) please and thank you!

Answers

Answer:

FD = 25.9

Step-by-step explanation:

13x - 16 = 4x + 11

9x = 27

x = 3

using Pythagorean theorem:

FD²  = 12² + [4(3) + 11]²

FD² = 144 + 23² = 144 + 529 = 673

FD = 25.94

Qual é o comprimento do arco correspondente a um ângulo ao centro de 45 graus, numa circunferência de raio 3 cm ?

Answers

Answer:

2.4 m

Step-by-step explanation:

A fórmula para o comprimento do arco é dada como:

Comprimento do arco = 2πr (θ / 360)

Onde r = raio = 3cm

θ = Ângulo em graus = 45 °

Comprimento do arco = 2 × π × 3 (45/360)

Comprimento do arco = 2.356194m

Aproximadamente = 2.4 m

what is sqrt(405x ^ 7)?​

Answers

Answer:

(405x ^ 7)²

405²x^14

164025x^14 is a square of 405x ^ 7

Step-by-step explanation:

Complete the square.
x2 + 14x +

Answers

Answer:

x² + 14x + 49

Step-by-step explanation:

x² + 14x + 49

each side = (x+7)

Help me pls. this is due tonight

Answers

Answer:

8

Step-by-step explanation:

8 cm

The formula to find the surface area of a rectangular prism is SA = 2ab + 2bc + 2ac, where a, b, and c all equal one side of the prism.

To solve this, plug in the value for surface area and the values of the known sides. let’s say a = 3cm and b =5cm and c = y cm. It doesn’t matter with value gets assigned to which letter.

SA = 2ab + 2bc + 2ac
158 = 2(3)(5) + 2(5)(y) + 2(3)(y)
158 = 30 + 10y + 6y
158 = 30 + 16y
128 = 16y
y = 8 cm

Use the equation editor below to state how many minutes there are in 1 10 hour. Then, calculate how many minutes are equal to 5 × 1 10 hour

Answers

Answer:

Number of minutes in [tex](5\times \frac{1}{10})[/tex] hours = 30 minutes

Step-by-step explanation:

Number of minutes in 1 hour = 60 minutes

Number of minutes in [tex]\frac{1}{10}[/tex] hours = [tex]\frac{60}{10}[/tex] minutes

                                                   = 6 minutes

Therefore, number of minutes in [tex]5\times \frac{1}{10}[/tex] hours = 5 × 6

                                                                            = 30 minutes

A force does 35000J of work along a distance of 10.5m. Find the applied force.

Answers

Answer: 3333.333 N

Work: To figure it out, you must do 35000J divided by 10.5. After diving, you receive the answer 3333.333N. I hope this helps you!

Correct answer gets brainliest.

Answers

Answer:

There is no number line and there are only two filled points at x=-1 and x=1

Step-by-step explanation:

The only solutions to the equation are x=-1 and x=1, because they satisfy the equation. No other values can be solutions to the equation.

What is the value of n?
Your answer in the box n=
5m 15m n 2m

Answers

Answer:

12.5

Step-by-step explanation:

because it's a progress

Plz help me
Explation for both questions and tell what conceputal key you use.

Giving 35 points


1. Lizzy opened an ice cream parlor in her neighborhood selling homemade ice cream. She has a goal to create 80 new ice cream flavors. If she already created 37 flavors, how many more flavors does she still need to create?



2. A staples truck is delivering notebooks to CMS. There are 212 boxes with 198 notebooks in each box. How many total notebooks are there?

Answers

Step-by-step explanation:

2) 212*198 = 41 976

1) 80-37 = 43

9514 1404 393

Answer:

  1. SCR (or PPW). 43 more flavors

  2. GLT. 41,976 notebooks

Step-by-step explanation:

1. Conceptual key: SCR

Lizzy is starting with 37 flavors. She wants a result of 80 flavors, so the change can be computed from ...

  37 + x = 80

  x = 80 -37 = 43

Lizzy needs to create 43 more flavors.

__

Additional comment

This might also be considered to be using the PPW pattern, as both the number she has and the number she creates make up the whole number. The SCR key may better apply to cases where a "rate of change" is involved. There is no rate of change in this problem.

_____

2. Conceptual key: GLT

There are 212 groups of 198 notebooks, so the total is the number of groups times the number in each group.

  (212 boxes)(198 notebooks/box) = 41,976 notebooks

Rosario is an ecologist who studies the change in the penguin population of Antarctica over time.
The relationship between the elapsed time t, in years, since Rosario started studying the population, and
the number of penguins, P(t), is modeled by the following function:

P(t) = 21,000 • (4/7)^t/3
Complete the following sentence about the rate of change in the penguin population.

The population of penguins loses 3/7 of its size every ____ years.

Answers

Answer: every 3 years

Step-by-step explanation:

Maria sells painting in a art gallery. She earns $375 each week plus a commission of 2.5% of her swelled. What is the minimum amount of sales she must have this week to earn at lease $500.

Answers

Answer:

5000.00

Step-by Step

500.00-375.00 = 125.00

5000 x 2.5% = 125.00

375.00 + 125.00 = 500.00

PLEASE HELP I’M BEING TIMEDDDD

Answers

Answer:

1: 51.8°F

Step-by-step explanation:

2: 26.6

I'M NOT SURE IF I GOT THIS RIGHT I DID MY BEST.

If the lengths of the two legs of a right triangle are 12 and 16, what's the length of the hypotenuse?
Question options:

A)

14

B)

16

C)

20

D)

28

Answers

Answer is C (20) 16 squared plus 12 squared = 400 and then you square root 400 to get 20

Please help me with 1,2,3 please and show me how you get the answers and the steps

Answers

Answer:

the link dosent work says it have bug in it

Step-by-step explanation:

A rectangle is shown.

What is the area of the rectangle?

Answers

Answer:

360

Step-by-step explanation:

15+15

12x15

ANSWER:

360

Step-by-step explanation:

15+15

12x15

Evaluate
12^2

1. 144
2. 24
3. 266

Answers

Answer:

The answer is 144

Step-by-step explanation:

12*12

12²

144

How can we rewrite 6+−2(6−9x)?


6+−2(6+9x)

6+−2(−6+9x)

6+−2(−3x)

6+−2(6+−9x)

Answers

Answer:the fourth one

Step-by-step explanation:

Work out the percentage change when a price of £50 is increased to £80.

Answers

Answer:

50 to 80 = 60%

Step-by-step explanation:

(80 -50) / 50 x 100 = 60%

Which of the following equations represents an exponential function?

a.f(x)=2x+7
b.f(x)=[tex]-2x^3[/tex]
c.f(x)=[tex]2(5)^5[/tex]
d.f(x)=[tex]x^2+3x+2[/tex]

Answers

D

this is because the rest of the options are to the 5th power or 3rd power. an exponential function has x^2 and whatever other terms.

x^3 would make it a cube root function

Mr. Smith is flying his single-engine plane at an altitude of 2400 feet. He sees a cornfield at an angle of depression of 30º. What is his horizontal distance to the cornfield?

Answers

Answer:

Height of the fighter plane =1.5km=1500 m

Speed of the fighter plane, v=720km/h=200 m/s

Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.

Muzzle velocity of the gun, u=600 m/s

Time taken by the shell to hit the plane =t

Horizontal distance travelled by the shell =u

x

t

Distance travelled by the plane =vt

The shell hits the plane. Hence, these two distances must be equal.

u

x

t=vt

u Sin θ=v

Sin θ=v/u

=200/600=1/3=0.33

θ=Sin

−1

(0.33)=19.50

In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.

H

max

=u

2

sin

2

(90−θ)/2g=600

2

/(2×10)=16km

Find the value of x that will make a||b

Answers

The location of each angle make them vertical angles. For the lines to be parallel the two angles need to be equal to each other.

5x + 20 = 3x + 60

Subtract 3x from both sides:

2x + 20 = 60

Subtract 20 from both sides:

2x = 40

Divide both sides by 2:

X = 20

What is the square route of 16?

Answers

Answer:

the square route of 16=√4²=4

Answer:

4

Step-by-step explanation:

16/4 is 4 and they're both the same number

what tell the hardware what to do and and how to do it

Answers

Answer:

I am assuming you are telling me to tell a piece of hardware what to do and how so in that case, Hammer go hammer in that nail by hitting yourself on its head so I can hang this painting. LOL

Step-by-step explanation:

I think I need better context ?
Other Questions
Living things respire to stay alive. In the mitochondria, sugar is combined with oxygen to produce energy, water and carbon dioxide. Write the equation of this chemical reaction Ill mark YOU as brainlister please help ASAP Daniel filled these prism-shaped containers below completely with water. What is the total volume of the water in both containers combined? How many liters would 18.0 grams of water vapor occupy at 273 K and 1.00 atm? please help me reeeeeeeeee Which cell structure of the zooxanthellae performs a vital function that also helps the coral polyp grow? Write an introduction about Mount Fuji in 200-250 words. The table shows the results from a random sample of 5 students at a highschool. Which option best describes the population from which this randomsample was taken? what are the roots of the equation 3x^2 =7x+2 SOMEONE PLEASEEEEEE HELPPPP PLEASEEE only number 16! How do I write a pseudocode algorithm to read a sequence of number terminated by the number 999 and print the sum of the positive numbers and the product of the two numbers? What is the answer step by step2(3x-4)-(x-7)=-6(x+1)+7x How are private loans different than federal loans? Simplify the following expression by combining like terms. Select the most simplified expression 31y + 10 + 11 What makes Japan unique ?? s i g h y o u w i l l g e t 5 0 p o i n t s . i need help! i will mark brainliest. Multi-choice question. You invest $1,000 into a start up company at a 3% annual interest rate for 20 years. How much interest do you earn? two masses are attached by a light string and looped over two frictionless pulleys. object 1 has mass 200g and accelerates upwards at the rate of 4.90m/s^2. determine the mass of object 2 . Find the mzu.RS7x + 22A. 31B. 12C. 74D. 1064x-531UT