MATH 128 Baltimore City Community College Quadratic Functions Problems

Please answer showing work and clearly showing answer , need detailed step by step solution to ensure c

Question 9
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G0/1 pt 52 99 0 Detai
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A box with a square base and no top is to be made from a
Question 7
ū0/1 pt 52 99 Detail square piece of carboard by cutting 5 in. squares from each
corner and folding up the sides. The box is to hold 7605 in.
NASA launches a rocket at t = 0 seconds. Its height, in How big a piece of cardboard is needed?
meters above sea-level, as a function of time is given by
h(t) 4.9t2 + 310t + 185.
Your answer is:
in.
Assuming that the rocket will splash down into the ocean, at
what time does splashdown occur?
=
in. by
The rocket splashes down after
seconds.
Question 10
< How high above sea-level does the rocket get at its peak? >
B0/1 pt 52 99 0 Details
The rocket peaks at
meters above sea level.
You have a wire that is 20 cm long. You wish to cut it into
two pieces. One piece will be bent into the shape of a
square. The other piece will be bent into the shape of a
circle. Let A represent the total area of the square and the
circle. What is the circumference of the circle when A is a
minimum?
The circumference of the circle is
cm.
Give your answer to two decimal places
Question 8
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ū0/1 pt 52 99 0 Details
The height y (in feet) of a ball thrown by a child is
1
y =
ia -x2 + 6x + 5
14
where x is the horizontal distance in feet from the point at
which the ball is thrown.
Question 11
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0/1 pt 52 99 0 Detail:
(a) How high is the ball when it leaves the child’s hand?
feet
(b) What is the maximum height of the ball?
feet
A baseball team plays in a stadium that holds 58000
spectators. With the ticket price at $9 the average
attendance has been 26000. When the price dropped to $7,
the average attendance rose to 29000. Assume that
attendance is linearly related to ticket price.
(c) How far from the child does the ball strike the ground?
feet
What ticket price would maximize revenue? $
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Question 5
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ū0/1 pt 52 99 0 Details
Question 4
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ū0/1 pt 52 99 0 Deta
Write an equation for the quadratic graphed below
x-intercepts: (-2,0) and (1,0). y-intercept: (0,1)
Find b and c so that y = 8×2 + bx + c has vertex (5, – 8).
b
-2
1
C=
Q
y =
Question 2
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ū0/1 pt 52 99 0 Details
Consider the parabola given by the equation:
f(x) = 4×2 – 6x – 15
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
Question 1
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B0/1 pt 0297 Details
C) Find the coordinates of the two x intercepts of the
parabola and write them as a list, separated by commas:
Write an equation (any form) for the quadratic graphed
below
It is OK to round your value(s) to to two decimal places.
4
3
2
1
-5 -4 -3
Question 3
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B0/1 pt 52 99 0 Details
-3
Put the equation y = x2 – 2x – 8 into the form
y = (x – h)? + k:
y =
Answer: y =