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Yakvenalex [24]
3 years ago
7

1. Determine the zeros of f(x) = x3 – 3x2 – 16x + 48? Somebody explain it please?:/

Mathematics
1 answer:
inn [45]3 years ago
6 0
x^{2} -  3x^{2} - 16x + 48 = 0

x^{2} (x - 3) - 16(x - 3) = 0

(x - 3) ( x^{2} - 16) = 0

(x - 3) (x - 4) (x + 4) = 0

x = -4, 3, 4

The zeros are: -4, 3, 4
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A farm covers land in the shape of a trapezium. The length of the northern boundary of the farm is 265 m and length of the south
igor_vitrenko [27]

Answer:

Step-by-step explanation:

Part A

<u>Givens</u>

b1 = 265

b2 = 180

h  = 90

<u>Formula</u>

Area = (b1 + b2)*h / 2

<u>Solution</u>

Area = (265 + 180) * 90 / 2

Area = 445 * 90 / 2

Area = 40050 / 2

Area = 20025 square meters

Part B

1 hectare = 10000 square meters

x hectare = 20025 square meters         Cross multiply

x * 10000 = 20025 * 1                             Divide by 10000

x  = 20025 / 10000

x = 2.0025

Rounded to the nearest hectare that would be 2

Part C

The best shape is a square.

That would mean that the area is given by

s^2 = 20025

sqrt(s^2) = sqrt(20025)

s = 141.51

Each side of the rectangle (square) = 141.51

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3 years ago
What is the volume of the prism shaped containers
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6 0
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Malik grills a steak 45 minutes longer than he grills a serving of fish. The fish takes twice as long as the asparagus to grill.
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Vasellasar26,

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3 0
3 years ago
The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi
andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

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so setting dF/dv will give a minima

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