<span>3x^2y^2 − 2xy^2 − 8y^2 =
y^2 (3x^2 - 2x - 8) =
factoring with leading coefficient:
for ax2+bx+c find two numbers n,m, that m*n = a*c and m+n = b
</span><span><span>
3x^2 - 2x - 8
a=3, b=-2, c=-8
</span>a*c = 3*(-8) = -24
-24=(-6)*4 and -6+4=-2, so m=-6 and n=4
replace bx with mx + nx and factor by grouping
</span><span>
3x^2 - 2x - 8 = </span>3x^2 -6x + 4x -8 = 3x(x-2) + 4(x-2) = (3x+4)(x-2)
answer:
<span>3x^2y^2 − 2xy^2 − 8y^2 = y^2(3x+4)(x-2)</span>
Total number of animals at the shelter = 15 + 12 +3 + 5 = 35 animals.
Let the total number of animals be represented by 100%
There are 15 dogs and 12 cats so:
% Number of dogs = 15/35 x 100% = 42.86%
% Number of cats = 12/35 x 100% = 34.28%
If you subtract 20.5 by 5.25 x 2 you will get 10 by 2 and you have the answer
Hello from MrBillDoesMath!
Answer:
21
Discussion:
$350 at 6% = => as "percent" means per 100
350 * (6/100) = => as 350 * 6 = 2100
2100/100 =
21
Thank you,
MrB
