Could you help me with the following questions please? 1.Solve this parabola y = -2(x - 4)2 + 7 Vertex: Direction of opening: Max/Min value:
Equation of axis of symmetry: 2.Expand and simplify the following. a) (4x + 3)(7x – 1) b) 8(x – 1)2 + 4 3.Factor the following. b) y = x2 – 19x + 60 b) y= 4x2 − 24x − 28 c) y=x2 −81
Could you help me with the following questions please? 1.Solve this parabola y = -2(x - 4)2 + 7 Vertex: Direction of opening: Max/Min value: Equation of axis of symmetry: 2.Expand and simplify the following. a) (4x + 3)(7x – 1) b) 8(x – 1)2 + 4 3.Factor the following. b) y = x2 – 19x + 60 b) y= 4x2 − 24x − 28 c) y=x2 −81
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Could you help me with the following questions please?
1.Solve this parabola
y = -2(x - 4)2 + 7
Vertex:
Direction of opening:
Max/Min value:
Equation of axis of symmetry:
2.Expand and simplify the following.
a) (4x + 3)(7x – 1)
b) 8(x – 1)2 + 4
3.Factor the following.
b) y = x2 – 19x + 60
b) y= 4x2 − 24x − 28
c) y=x2 −81
4. Tasha invested $5000 for 30 weeks at 5%/a simple interest. a) How much interest was earned?
5.The height, h meters, of a basketball, t seconds after it is thrown is given by the equation:
h=-5(t-1.7)2 +6
a) What is the maximum height of the ball?
b) How long does it take for the ball to reach its maximum height?
b) Find the area of the shaded region if x = 6 mm.
6.In a national park, a wolf population increased by a growth factor of 1.078
per year over a ten-year period, beginning in 1997. The formula P =124(1.078)n
models the wolf population P after n years.
a) What was the wolf population in 1997?
b) What was the wolf population in 2007?
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