Answer:
b = -27
Step-by-step explanation:
-1/3 b = 9
Multiply each side by -3
-3 * -1/3 b = -3 * 9
b = -27
Answer: A) 23
Step-by-step explanation:
3^2 + ( 6 - 2 ) ⋅ 4 -6/3
3^2 + 4 ⋅ 4 -6/3
9 + 4 ⋅ 4 -6/3
9 + 16 -6/3
25 - 6/3
75/3 -6/3 = 69/3
69/3 = 23
Step-by-step explanation:
1. If any one side and any one common angle are equal in triangles PQR and PRS, then their corresponding sides are also equal.
2. If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal.
3. In triangles PQR and PQS, if one side and one angle are equal, then their corresponding sides and angles are also equal.
4. In triangles PRS and PQS, all three angles are equal.
Well compared to the parent function x^2, the graph of y=-3x^2+3 is flipped upside down (negative sign), steeper, and is up 3 units from the origin.
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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, ∞)
