Ophelia was asked whether the following equation is an identity:
2(x-3)(4x-1)=(4x-6)^2-4(6+x)2(x−3)(4x−1)=(4x−6)
2
−4(6+x)2, left parenthesis, x, minus, 3, right parenthesis, left parenthesis, 4, x, minus, 1, right parenthesis, equals, left parenthesis, 4, x, minus, 6, right parenthesis, squared, minus, 4, left parenthesis, 6, plus, x, right parenthesis
She performed the following steps:
\begin{aligned} &\phantom{=}2(x-3)(4x-1) \\\\ \xhookrightarrow{\text{Step }1}\quad&=(2x-6)(8x-2) \\\\ \xhookrightarrow{\text{Step }2}\quad&=16x^2-4x-48x+12 \\\\ \xhookrightarrow{\text{Step }3}\quad&=16x^2-48x+36-24-4x \\\\ \xhookrightarrow{\text{Step }4}\quad&=(4x-6)^2-4(6+x) \end{aligned}
Step 1


Step 2


Step 3


Step 4




=2(x−3)(4x−1)
=(2x−6)(8x−2)
=16x
2
−4x−48x+12
=16x
2
−48x+36−24−4x
=(4x−6)
2
−4(6+x)


For this reason, Ophelia stated that the equation is a true identity.
Is Ophelia correct? If not, in which step did she make a mistake?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Ophelia is correct.

(Choice B)
B
Ophelia is incorrect. She made a mistake in step 111.

(Choice C)
C
Ophelia is incorrect. She made a mistake in step 333.

(Choice D)
D
Ophelia is incorrect. She made a mistake in step 444.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

the answer is B she didn't set up correctly.

Answer 2

Answer:

Step 1 is incorrect

Step-by-step explanation:

Kahn Academy


Related Questions

What is 3/3 plus 4 6/4?

Answers

Answer:

78/12 or 6 1/2

HELP PLEASE
Find the outlier of the set of data: 20, 23, 19, 25, 4, 18, 26

Answers

What is the outlier?

Outlier can be defined as

The outlier of the dataset 20, 23, 19, 25, 4, 18, 26 is 4

How to determine the outlier?

The set of data is given as:

20, 23, 19, 25, 4, 18, 26

The outlier of the set of data is a data element that is relatively far from other data elements

In 20, 23, 19, 25, 4, 18, 26, the number 4 is relatively far from other data elements

This means that 4 is an outlier of the dataset

Hence, the outlier of the dataset 20, 23, 19, 25, 4, 18, 26 is 4

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How big of an electric field exists when an electric force of 2 Newtons is exerted on a charge of 1.602 x 10^-19 Coulombs? *

Answers

Answer:

The electric field experienced by the charge is 1.248 x 10¹⁹ N/C

Step-by-step explanation:

Given;

the magnitude of the force, F = 2 N

the magnitude of the charge, q = 1.602 x 10⁻¹⁹ C

The electric field experienced by the charge is calculated as follows;

[tex]E = \frac{F}{q} \\\\E = \frac{2}{1.602 \times 10^{-19} \ } \\\\E = 1.248 \times 10^{19} \ N/C[/tex]

Therefore, the electric field experienced by the charge is 1.248 x 10¹⁹ N/C.

what is 3(4j + 6 + 5j) as a verbal expression. please please please help

Answers

Answer:

[tex]3(4j + 6 + 5j)[/tex] as a verbal expression would be three multiplied by the sum of four j, six, and five j.

Step-by-step explanation:

Since three is multiplying the values in the parenthesis, which is a sum of 4j, 6, and 5j, that means the verbal expression of this expression would be three multiplied by the sum of four j, six, and five j.

here is my question please anwser as soon as possible !!!!!!!

Answers

Answer:

is it asking which one is a y coordinate?

Answer:

Q'(5, -3), R'(4, -1), S'(0, -2), T'(0, -5)

Step-by-step explanation:

Reflecting across the y-axis causes the x coordinate of a point to change to its opposite. So in terms of x and y: (x, y) ⇒ (-x, y)

Q(-5, -3) ⇒ Q'(5, -3)

R(-4, -1) ⇒ R'(4, -1)

S(0, -2) ⇒ S'(0, -2)

T(0, -5) ⇒ T'(0, -5)

pt 2 . This is my last one I need helppp!:(

Answers

c = 10bPlease let me know if I am wrong.
c=10b because let's say b is 4 and you multiply that by 10 you get 40 and that is one of the plots for c

Samantha is saving to buy a new car. She already has $2500 in the bank. She is saving $400 per month. What is the minimum number of months that she will need to save to buy a car that costs $7000.

Answers

Answer: She will need the minimum of  12 months

7000-2500= 4500

4500/2=11.25

11.25 rounded up is 12

Which is the simplified form of n^-6p^3

Answers

The third choice

If you have a negative exponent n^-6 it becomes 1/n^6
And 1 times p^3 is equal to p^3

So the correct answer is p^3/n^6

A skydiver falls 125 feet in 5 seconds. How far does the skydiver fall per second?

Answers

Answer:

25 feet in one second

Step-by-step explanation:

125 divided by 5 is 25

Answer:

25 feet per second

Step-by-step explanation:

The following function represents the value of a truck, in dollars, after x years:

f(x) = 29,000(0.88)x

What does 0.88 represent?

The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%

Answers

Answer:

The increase in the value of the truck, which is 88%

Step-by-step explanation:

Depreciation can be defined as the reduction of cost of a fixed asset systematically until the value of the asset becomes zero.

Rate of return can be defined as the percentage of interest or dividends earned on money that is invested.

In Financial accounting, a return refers to the amount of profit generated by an investor on an investment over a specific period of time.

Basically, the rate of return which is typically expressed as a percentage of the initial costs of an investment can either be a gain or a loss on an investment. Therefore, a positive rate of return on an investment over a specific period of time, simply means that an investor is making a profit (gains) while a negative rate of return on an investment over a specific period of time, indicates that the investor is running at a loss.

Given the following function;

f(x) = 29,000(0.88)x

Where;

x is the number of years.

We can deduce from the function, that the rate at which the truck is appreciating is 88% (0.88).

Assuming x = 3

f(3) = 29,000(0.88)*3

f(3) = $76,560

Answer:

The decrease in the value of the truck, which is 12%

Step-by-step explanation:

If the decrease in the value of the truck was 88%, then the percentage would be 0.12. So therefore, since 1.00 - 0.12 is 0.88, the decrease in the value of the truck would be 12%.

There are 24 girls in a class. The ratio of girls to boys is 3:8.
How many boys are in the class?​

Answers

Answer:

64 boys.

Step-by-step explanation:

There are 3 girls for every 8 boys.

24/3 = 8

8 * 8 = 64

The number of boys will be [tex]64[/tex] .

What is ratio ?

Ratio is the comparison of two numbers i.e. how much a number contains other.

We have,

Number of girls [tex]=24[/tex]

Ratio of girls to boys [tex]=\ 3:8[/tex]

So,

According to the question,

Let number of girls [tex]=3x[/tex]

Number of boys [tex]=8x[/tex]

And,

We have number of girls so compare them,

i.e. [tex]3x=24[/tex]

⇒[tex]x= 8[/tex]

So, now putting value of [tex]x[/tex] in Number of boys,

i.e.

Number of boys [tex]=8x[/tex]

                           [tex]=8*8[/tex]

Number of boys [tex]=64[/tex]

Hence, we can say that the number of boys will be [tex]64[/tex] .

To know more about Ratio click here

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e/3=7. please can some one help

Answers

Answer:

e=21

Step-by-step explanation:

Answer:

E = 7 * 3 = 21

21 / 3 = 7

Step-by-step explanation:

how do you find mean...

Answers

Answer:

It’s the middle number of the group

Step-by-step explanation:

ASAP (I can’t download files I just need the answer)
I need this as soon as possible!! Help pls!!


State the value of the discriminant of:
-2x² + x -4 = 0
-31
-24
66
76

Answers

Answer:

-31

Step-by-step explanation:

Formula for finding the discriminant:

b² - 4ac

Let's identify our values.

a = -2

b = 1

c = -4

Time to plug in our values.

1² - 4(-2)(-4)

1 - 32

-31

Can someone please explain Conditional probability to me

Answers

Answer:

conditional probability is probability based on logic and past events instead of your current data which you got from whichever experiment you did (that is experimental probability)

Step-by-step explanation:

help me with these QUESTIONS​

Answers

Answer:

1. no solution

2. x = -6, 6

3. 0

4.x = -3, 3

5. 0

6.x = -4, 4

Step-by-step explanation:

= I'm not sure if right though

HELP ASAP FOR 100 POINTS

Answers

Answer:

C

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

you are correct already

A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is yellow?​

Answers

Answer: It is one out of ten or 1/10 or 10%

10%. the first person was correct:)!!

Jack earn money walking dogs he charges $8 per day plus $6 per walk (w)

Answers

Answer:

14

Step-by-step explanation:

8 + 6 = 14

Answer:

Step-by-step explanation:

so if he get $8 per day + 6 per walk {w}

so 8 + 6w = 14 change the + into - and change the 8 into -8 and

put it on both side 14 - 8 is 6

then you have to put 6w = 6 then

6/6 is 1 so w = 1 i don't know if i got it right so i am so sorry if it wrong

As part of her art project, Sarah is painting 2 square
pyramids. The first pyramid has a base with a length of 6
cm and lateral faces with heights of 8.5 cm. The second
pyramid has a base that is half the length of the first
pyramid, and each lateral face has a height of 8.5 cm. What
is the surface area of the second pyramid?

Answers

Answer:

25.5

Step-by-step explanation:

first pyramid: 6*8.5

second pyramid: 3 (half the length of the first) *8.5

3*8.5 = 25.5

Answer:

25.5

Step-by-step explanation:

There are multiple squares you need to find the area of each one by finding the area of each square then adding them together to get the surface area.

75 inches to centimetres

Answers

Answer:

190.5 cm

Step-by-step explanation:

Conversion factor:

2.54 cm = 1 in

Therefore, multiply 75 in by 2.54 cm

190.5 centimeters :)

anjou has 28 apples.3\7 of apples that are rotten find the number of rotten apples

Answers

Answer:

3/7 × 28 = 12 apples are rotten

Hope it helps

Answer:

12

Step-by-step explanation:

3/7*28/1=12

1.5 divede by 0.3 dived by .01

Answers

Answer:

500

Step-by-step explanation:

Answer:

1.5 divided by .3 divided by .01 is 500

With working steps :)​

Answers

Answer:

Surface area =132cm

Step-by-step explanation:

Formula= 2A(b)+(a+b+c)h

This one is really long

(08.06 MC)

Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

someone please actually explain this to me. maybe even use real words this time?! this is my last assignment for the year and here I am, wet keyboard from tears, breaking my pencil into tiny bits because of this one algebra question. if I get a bad score on this quiz i'm actually going to have a full-on meltdown! someone for the love of god explain this to me in a way that my adhd brain will understand before I throw myself into the sun. much thanks! :,)

Answers

A. 2x+y=25; x+y=20
x represents cheese wafers and y represents chocolate wafers.

B. I will choose elimination since there is y and y. I can multiply one equation by -1 to get y and -y, which cancels out.
2x+y=25
-x-y=-20

Add equations
x=5

Plug x in
5+y=20
y=15

Final answer: 5 cheese wafers, 15 chocolate wafers

You want to rent a television. Company A charges $25 per week plus a one-time fee of $52. Company B charges $37 per week plus a one-time fee of $16. After how many weeks are the total costs the same at both companies?

Answers

Company A: 177$

Company B: 238$



Both companies together: 415$

Answer:

3 weeks

Step-by-step explanation:

Set the number of weeks when they are equal as x.

We can then write these equations.

25x + 52 = 37x + 16

Subtract 25x from both sides.

52 = 12x + 16

Subtract 16 from both sides.

36 = 12x

Divide both sides by 12

x = 3

The answer is 3 weeks.

Solve the equation for x:

Answers

Answer:

A.   x = 10

Step-by-step explanation:

-5x + 20 = -30

Subtract 20 from both sides

-5x = -50

Divide both sides by -5

x = 10

Answer:

A. x = 10

Step-by-step explanation:

- 5x + 20 = - 30

- 5x = - 30 - 20

- 5x = - 50

5x = 50

x = 50 / 5

x = 10

Sofia bought 3 items that cost a total of $21.99. What is the price of one item?

Answers

Answer: The price of one item is $7.33

Step-by-step explanation:

I*3=21.99

i=7.33

What is 49+14? (Equivalent Expressions)

Answers

Answer:

63

BRAINLIST

BRAINLIST

After adding, the value of expression is,

⇒ 49 + 14 = 63

We have to given that,

An expression is,

⇒ 49 + 14

Since, The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Now, We can simplify as,

⇒ 49 + 14

Adding,

⇒ 63

Thus, After adding, the value of expression is,

⇒ 49 + 14 = 63

Learn more about the addition visit:

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Answers

Answer:

(-t)^5

Explanation:

There are five t’s

Answer:

(-t)^5

Step-by-step explanation:

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