9514 1404 393
Answer:
Step-by-step explanation:
1. The negative leading coefficient (-2) tells you the parabola opens downward.
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2. The fact that the parabola opens downward tells you the vertex is a maximum.
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3. For quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For this parabola, that is x = -4/(2(-1)) = 2. The y-value of the vertex is f(2) = -2^2+4(2)-3 = -4+8-3 = 1. The y-intercept is the constant, c = -3.
Answer:
43cm
Step-by-step explanation:
Given
Length of Log = 291cm
First Piece = 67cm
Second Piece = 181cm
Required
Determine the length of the third piece
Given that the log was cut into three;
<em>this implies that;</em>
Length of Log = First Piece + Second Piece + Third Piece
Substitute values for first piece, second piece and length of log;
Subtract both sides by 248
<em>Hence, the length of the third piece is 43cm</em>
Answer:
5
Step-by-step explanation:
1. according to the condition
2. when the both prices are increased the ratio is
3. when the both prices are reduced the ratio is
4. using the equations written in steps 2&3 it is possible to make up the system of the two equations:
where x=160; y=52.
5. ration x:y=5.
Answer:
Volume of cone = 90 ft³
Step-by-step explanation:
diameter of cone = 6ft
radius of cone = 3ft
height = 10ft
Volume of cone =
V = (3 × 3 × 3 × 10)/3
V = 270/3
V = 90 ft³