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
icon
Related questions
Question
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?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,