Question

Tom wants to hang a mirror in his room but the mirror and frame must not have an area larger than 14 square feet. The mirror is 3 feet wide and 4 feet long. Which quadratic equation represents the area of the mirror and frame combined? (The frame must have equal width of x on each side.)

Answer 1

looks like on dimension is \(3+2x\) and the other is \(4+2x\) areas would be
\[(3+2x)(4+2x)\]

Answer 2

equation would be
\[(3+2x)(4+2x)=14\] although the way it is written
"must not have an area larger than 14 square feet." should give an inequality

they really stretch for these word problems don't they?

Answer 3

yes they do -_-

Answer 4

and they give me
4x^2+14x-2=0
3x^2 + 10x − 14 = 0
2x^2 + 12x − 14 = 0
x^2 + 7x − 14 = 0

Answer 5

believe it or not it is A
multiply out on the let, subtract 14 from both sides and that is what you get

Answer 6

you promise? lol :)

Answer 7

picture sucks too. they have 4 looking larger than twice 3
who writes this stuff?

Answer 8

yeah, i promise
usually it is C but this time it is A

Answer 9

my algebra teacher. -_- i know i hate her test and assessments. she asks stupid stuff like this...but she doesnt teach it in the lessons...

Answer 10

i guess it is supposed to instill "critical thinking" but if it did you should realize that the question "not larger than" is an inequality, not an equation
i am not taller than 6 feet does not mean i am 6 feet tall

Answer 11

right. :P but it does nothing for me...i just come to you smart people to teach me! haha

Answer 12

then i will keep quite
i am not smarter than a fifth grader

Answer 13

lol fan me so we can chat? :) and yes you are! ;)