David wants to hang a mirror in his room. The mirror and frame must have an area of 8 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?2x2 + 14x − 2 = 0
3x2 + 10x − 8 = 0
4x2 + 10x − 2 = 0
x2 + 7x − 8 = 0

Answers

Answer 1
Answer:

Represent the thickness of the frame by x. Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,                                 

                                               A = (3 + 2x)(2 +2x) = 8

The equation above can be simplified into 4x^2 + 10x -2 = 0. This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice. 

Answer 2
Answer:

Answer: The answer above me is correct .


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Let e = 15. What is the value of 2e?

A.
13

B.
17

C.
30

D.
215

Answers

2e = 2 X (15)

2 X 15 = 30

Answer: C. 30

Triangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are (–1, 0). What are the coordinates of B? B( , )

Answers

Answer:

B' (-2, 3)

Step-by-step explanation:

A(5, 1)  to A'(6, -2)

A(6-5, -2-1)

A translation is 1, -3

consider the same translation of B'

therefore, the coordinates of B' is (-2, 3)

Answer:

B. -2, 3

Step-by-step explanation:

edge2021

How many songs are played on your favorite radio station in a given year?

Answers

Answer:

Your favorite radio station in a given year plays 105120 songs.

Step-by-step explanation:

Lets make some assumptions:

1. A radio program in average last 50 minutes, because 10 of them are for commercials.

2. a song average length is about 3 minutes

3. the speakers use 10 to 20 minutes of the radio program.

4. So, in an hour just 30 minutes are effectively used to play songs on a radio station. That results in 10 per hour at least, and 13.3 at most. So lets settle an average of 12 songs per hour.

5. The radio station plays songs 24 hours a day unstoppable.

Now:

A day has 24 hours, a week seven days and therefor (24*7= 168 hours) 168 hours in a week.  

A year has 52.1429 weeks, so it has 8760 Hours (52.17429weeks*168hours=8760 hours )

So:

8760 hours in a year

12 songs per hour

8760*12=105120 songs in a year.

A musical instrument depreciates by 20% of itsvalue each year. What is the value, after 2
years, of a piano purchased new for $1200?

Answers

Answer:

$768 is the value of the piano after 2 years.

Step-by-step explanation:

First you need to find 20% of 1,200. To do so you would need to set up a proportion.

(20)/(100) = (x)/(1200)  20 x 1,200 = 24,000/100 = 240

Now, subtract that amount from the original 1,200 to get the amount after one year.

1,200 - 240 = 960.

Next, you need to find 20% of 960 again setting up a proportion.

(20)/(100) = (x)/(960) 20 x 960 = 19,200/100 = 192

Finally, subtracting this amount from it's new value.

960 - 192 = 768

The answer is:
768
As:
1200/5=20%=240
1200-240=960 (after 1 year)
960/5=20%=192
960-192=768 (after 2 years)

Can someone explain the answer llease? I dont understand.

Answers

Answer:

I'm not sure if transformation is the same as transposition but if it's the same, then the rows will become columns and the columns will become rows.

Therefore: [5 -3]

Allison has a poster that is 15 in by 18 in. What will the dimensions of the poster be if she scales it down by a factor of 1/3

Answers

If you minus one third from 15 and one third from 18, the dimensions would be 10 x 12

15÷3 = 5
18÷3 = 6
15 - 5 = 10
18 - 6 = 12