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lara [203]
3 years ago
10

On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 6, 6), (negative 4.5, 2.25), (nega

tive 3, 0), (negative 1.5, negative 0.75), (0, 0), (1,5, 2.25), and (3, 6). Which is the rate of change for the interval between –6 and –3 on the x-axis?
Mathematics
2 answers:
Ksju [112]3 years ago
7 0

Answer:

its -2

Step-by-step explanation:

i just did the assignment

ruslelena [56]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

:D:D:D:D:D:D:D:D:D:D:D:D:D:D:

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An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

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Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

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4 0
2 years ago
Write the reciprocal of -3/7
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Given triangle abc is an isosceles right triangle where angle b is the right angle and line bd is an angle bisector. Which postu
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