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IrinaVladis [17]
2 years ago
9

If clocks read 300pm on the -5 time zone, what time do the clocks read in the -2 time zone

Mathematics
1 answer:
gayaneshka [121]2 years ago
3 0

It will read 6:00pm on -2 time zone.

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Max <br> p=3x+2y <br> subject to <br> 5x+y&lt;16 <br> 2x+3y&lt;22 <br> x&gt;0 <br> y&gt;0
garri49 [273]

Answer:For all the corner points, the maximum is at point (1, 3)

From the graph of the constraints, the corner points of the feasibility region are (0, 0), (0, 10/3), (1, 3), (2, 0)

For (0, 0): p = 0 + 2(0) = 0

For (0, 10/3): p = 0 + 2(10/3) = 20/3 = 6.67

For (1, 3): p = 1 + 2(3) = 1 + 6 = 7

For (2, 0): p = 2 + 2(0) = 2

Therefore, solution = (1, 3)

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3 years ago
A population numbers 508 organisms initially and increases by 6.2% each year.
IceJOKER [234]

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Can someone help me with this problem asap
xenn [34]

Answer:

f(x) = $ x^4 - 2x^3 + 49x^2 - 18x + 360 $ is the required polynomial.

Step-by-step explanation:

Given the zeroes (roots) of the polynomial are $ -3i $ and $ 2 + 6i $.

We know that complex roots occur in conjugate pairs.

So, this means that $ +3i $ and $ 2 - 6i $ would also be the roots of the polynomial.

If $ \pm 3i $ are to be the roots of the polynomial then the polynomial should have been: $ x^2 + 9 = 0$.

Now, to determine the polynomial for which $ 2 \pm 6i $ would be the roots.

Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.

⇒ $ x = 2 + 6i \hspace{35mm} x = 2 - 6i $

⇒ $ x - 2 - 6i = 0 \hspace{25mm} x - 2 + 6i = 0 $

The required polynomial would be the product of all the above polynomials.

$ i.e., (x^2 + 9)(x - 2 + 6i)(x - 2 - 6i) = 0 $

Multiply this to get the required equation.

⇒$ (x^2 + 9)(x^2 - 2x + 40) $

$ \implies x^4 - 2x^3 + 40x^2 + 9x^2 - 18x + 360 = 0 $

∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.

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