Answer: 1/12 yards
Step-by-step explanation:
The length of the pieces originally were 1/4 yards.
Jamie then cuts them into a 1/3 of their original length.
The new length is therefore:
= Original length * proportion of original length strips are cut into
= 1/4 * 1/3
= 1/12 yards
Answer:
(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35
The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.
Step-by-step explanation:
Product means multiplication
Product of 2x - 5 and 3x^2 + 5x - 7
(2x - 5 ) (3x^2 + 5x - 7)
= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35
Collect like terms
= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35
= 6x^3 - 5x^2 - 39x - 35
Product of 5x - 2 and 3x^2 + 5x - 7
(5x - 2) (3x^2 + 5x - 7)
= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14
Collect like terms
= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14
= 15x^3 + 19x^2 - 45x + 14
The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.
They both consist of different variables in their multiplier
Answer:
Overall vertical is visually better, if done correctly
it forces you to "line up" all the common exponents.
The disadvantage is that it usually requires re-writing the problem, and it takes up space.
most problems are presented horizontally, that becomes the issue to locate the common exponents.
in both cases the biggest issue is people forget
that when subtracting "subtracting a negative is like adding a positive"
-5x - (-8x) = 3x [that is a positive 3x]
or:
-7x
- - 10x
-------------
3x
everyone misses those eventually so you have to watch out for that in both methods
Step-by-step explanation:
the answer is 8! hope that helps
