9514 1404 393
Answer:
- |w -30| > 1.6
- (-∞, 28.4) U (31.6, ∞)
Step-by-step explanation:
1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:
|w -30| > 1.6
__
2. This inequality resolves to two inequalities.
w -30 > 1.6
w > 31.6 . . . . . add 30
and
-(w -30) > 1.6
w -30 < -1.6 . . . multiply by -1
w < 28.4 . . . . . add 30
The solution in interval notation is the union of the two disjoint intervals:
(-∞, 28.4) U (31.6, ∞)
Answer:
x³ - 5x² + 81x - 405 = 0
Step-by-step explanation:
Complex roots occur in conjugate pairs.
Thus given x = - 9i is a root then x = 9i is also a root
The factors are then (x - 5), (x - 9i) and (x + 9i)
The polynomial is the the product of the roots, that is
f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors
= (x - 5)(x² - 81i²) → note i² = - 1
= (x - 5)(x² + 81) ← distribute
= x³ + 81x - 5x² - 405, thus
x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation
Answer:
(x, y) = ( 1/2, -3 )
Step-by-step explanation:
y = -3
3/2 - 1 - x + y = - 3
3/2 - 1 - x - 3 = - 3
x = 1/2
solution : (x , y ) = ( 1/2, -3)
here we are gonna see why is that answer :
-3 = 3/2 -1 - 1/2 - 3 = -3
-3 = -3 = -3
i hope this helps
Answer:6 games
Step-by-step explanation:
Thomas spent a total of 136 dollars so you subtract 55 from 136 and divide by 13.50 to get 6.
<span> 1.01 > 1.0009 ????????</span>