and if i don't figurd this out i will totally fail my test cause it has he same basic princible on it the thing is "Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x?" me and my sisters looked at the sample tests answers on the page and got " 6x2 - 5x - 6" (the two is spose 2 be small and at the top right part of the x like a exponent or 2nd power of something) the question is how are you sposed to get that answer?!? my and my sis tried and tried but couldn't get it PLZ HELP!!!!!!!!!
2006-07-15 06:48:46 · 7 answers · asked by socca_freak 2 in Science & Mathematics ➔ Mathematics
THANK YOU!!!!!!!!
2006-07-15 07:03:31 · update #1
3 less than twice x means you take 2 times x and subtract 3:
2x - 3
2 more than the quantity 3 times x means you add 2 to 3 times x:
2 + 3x
Product means you multiply them:
(2x-3)(2+3x)
Now use FOIL and you will have your answer.
2006-07-15 06:52:24 · answer #1 · answered by MsMath 7 · 1⤊ 0⤋
Take it one word at a time:
Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x
"the product of:"
mean (____ ) * (_____) Fill the parentheses with what else you get from the questions.
"3 less than twice x"
2x - 3
"2 more than the quantity 3 times x"
3x + 2
Now put the two expressions into the parentheses:
(2x - 3) * (3x + 2)
The last thing to do is multiply these. Use the FOIL method
F: multiply the 2 "first" terms: (2x)*(3x) = 6x^2
O: multiply the 2 "outside" terms: (2x) * (2) = 4x
I: multiply the 2 "inside" terms: (-3) *(3x) =-9x
L: multiply the 2 "last" terms: (-3)* (2) = -6
Add all the terms up:
6x^2 + 4x - 9x - 6
= 6x^2 - 5x - 6
2006-07-15 19:07:10 · answer #2 · answered by Anonymous · 0⤊ 0⤋
you need to be able to understand what the problem is saying, the product means you are going to be multiplying two things together which are the 3 less than twice x and 2 more than the quantity of 3 times x. then you need to figure out how to write these two quantities. the 3 less than twice x is (2x-3) and the 2 more than the quantity of 3 times x is (3x+2). you then multiply these two together to get the 6x^2-5x-6.
2006-07-15 13:54:30 · answer #3 · answered by cheer_4_life05 1 · 0⤊ 0⤋
6 x^2 - 5x -6 = (3x + 2 ) ( 2x - 3 )
this expresion represent the product of 3 less that twice x (2x-3) and 2 more than 3 times x ( 3x+2)
2006-07-15 13:59:45 · answer #4 · answered by a_ebnlhaitham 6 · 0⤊ 0⤋
it's really simple.
obviosly the answer is the product of 2 quantities.
the first one:3 less than twice x
twice x is 2x
3 less than twice x is 2x-3.
the second one:2 more than 3 times x
3 times x is 3x
2 more than 3 times x is 3x+2.
their product:(2x-3)(3x+2)
which is equal to
6x^2 -5x -6.
don't worry
just go about it systematically
2006-07-15 17:15:29 · answer #5 · answered by lone rider 2 · 0⤊ 0⤋
Hi, socca_freak!
To multiply 2x - 3 by 3x + 2, you calculate:
2x . 3x = 6x²
2x . 2 = 4x
-3 . 3x = -9x
-3 . 2 = -6
Then, you add up: 6x² + 4x - 9x - 6.
And you simplify and rearrange: 6x² - 5x - 6.
For a more general rule: (m + n) . (o + p) = mo + mp + no + np, and (ax + b) . (cx + d) = acx² + (ad + bc)x + bd.
In this case, 2, -3, 3, and 2, replace a, b, c, and d, respectively:
(2.3)x² + [(2 . 2) + (-3 . 3)]x + (-3 . 2) =
= 6x² + (4 - 9)x - 6 =
= 6x² - 5x - 6
Hope this helps. Please choose mine as Best Answer.
Bye!
nuscolare
2006-07-15 14:09:36 · answer #6 · answered by nuscolare 1 · 0⤊ 0⤋
(2x-3) (3x+2) ................do FOIL (multiply the: firsts, outers, inners, lasts in the quantities)
6x2 +4x -9x -6
6x2 -5x -6
2006-07-15 13:57:11 · answer #7 · answered by flowergrl0818 3 · 0⤊ 0⤋