The number of positive roots is the number of changes of signs there are, then decrease by 2 each time and stop when you get to 1 or 0
negative roots, sub every x with -x and reevaluate, count change of signs
decrease by 2 each time and stop when you get to 1 or 0
y=+2x⁵-x⁴-2x³+4x²+x-2
+,-,-,+,+,-
1 2 3
3 or 1 positive roots
replace x with -x ( baically flip all signs of odd powerd numbers)
y=-2x⁵-x⁴+2x³+4x²-x-2
-,-,+,+,-,-
1 2
2 or 0 negative roots
3 or 1 positive roots
2 or 0 negative roots
2nd option is answer
Answer:
50 newspapers
Step-by-step explanation:
100 (total amount of newspapers) - 25 (amount Edward already sold) = 75 (amount of newspapers left)
75 (amount of newspapers left) ÷ 3 (Edward and his 2 friends) = 25 (equal amount each person delivered)
25 (amount Edward already sold) + 25 (amount Edward sold after his friends helped him) = 50 (amount of newspapers Edward sold in total)
For any arbitrary 2x2 matrices
and
, only one choice of
exists to satisfy
, which is the identity matrix.
There is no other matrix that would work unless we place some more restrictions on
. One such restriction would be to ensure that
is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking
we'd get equality.
Answer:
(3x - 25y)(3x + 25y)
Step-by-step explanation:
9x² - 625y² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Given
9x² - 625y²
= (3x)² - (25y)²
= (3x - 25y)(3x + 25y)
Answer:
See below.
Step-by-step explanation:
There are three sheets of 10 stickers. This is equal to 30 stickers. There are also 30 single stickers. Split the single stickers and give Gary and Jill 13 each. Then Gary and Jill can each take a sheet of 10. They will both have 23 stickers.
