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?Square with an inner frame with height of 2ft on the left frame and width of 3ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an 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 is correct i took the test

Step-by-step explanation:

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A toy store marks down every toy by 15% in June .how much does a toy cost during June

Answers

Answer:

15% less than its regular price

Step-by-step explanation:

If the toy is marked down 15% in June, its cost during June is 15% less than its regular cost. (It will be 85% of its regular cost.)

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?Answers:
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)

Answers

The answer is (8, 2.40).

We can deduce this because if x is negative, it means the book is not late; it's early! We can cross out the first two answers. We know the third one is wrong because the fee is charged on midnight, so the fee for 4.5 days late would be the fee for 4 days late, which would be 1.20, not 1.35. for 8 days, the cost would be (8*0.30) = 2.40, which is what we have for y in the pair. Therefore, (8, 2.40) is the answer.

Hope this helps! :)

Answer:

The answer is (8, 2.40).

Step-by-step explanation:

Add -3.8 + 9.8 + 5.7

Answers

Answer:

- 0.3

Step-by-step explanation:

PLEASE HELP ME! THANK YOU!!

Answers

It's obviously the second one

The graph of $y=4x-11$ is translated up 8 units. Which equation represents the translated graph?

Answers

It would be y=4x-3 because -11 show that it went down 11 units. So if it is going to go up 8 units, -11+8 is -3.

write an equation with the solution x=20. The equation should have the variable on both sides, a fractional coefficient on the left side, and a fraction anywhere on the right side

Answers

Answer:

$(8)/(7)x=(20)/(7)+x$

Step-by-step explanation:

The given equation is

$x=20$

We need to write an equation that should have the variable on both sides, a fractional coefficient on the left side, and a fraction anywhere on the right side.

Multiply both sides by 1/7 in the given equation.

$(1)/(7)* x=(1)/(7)* 20$

$(1)/(7)x=(20)/(7)$

Add x on both sides.

$(1)/(7)x+x=(20)/(7)+x$

$(8)/(7)x=(20)/(7)+x$

This equation have the variable x on both sides, a fractional coefficient 8/7 on the left side, and a fraction 20/7 on the right side.

Therefore the required equation is $(8)/(7)x=(20)/(7)+x$ .

1/2x+9=2x/2-1. I hope this meets ur criteria. It works and equals 20.

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