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CaHeK987 [17]
3 years ago
12

The equation X^3+3x^2 + 5x+15 = 0 Has how many solutions

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

x
=
-
3
,
5
,
-
5
The result can be shown in multiple forms.
Exact Form:
x
=
−
3
,
√
5
,
−
√
5
x
=
-
3
,
5
,
-
5
Decimal Form:
x
=
−
3
,
2.23606797
…
,
−
2.23606797
…
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Step-by-step explanation:

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It has been given that y varies inversely with x, therefore the equation for this relationship is as follows;
y =\frac{k}{x}\
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-18 = k/ 6 ---1)
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 5 = k/x
when we divide 1)/2), k gets cancelled 

\frac{-18}{5}=  \frac{x}{6}
x = -18*6/5
x = -21.6
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Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The
faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs = 400x+1600

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Profit funciton = P(x) = Sales revenue - Total cost

= 700x-5x^2-400x-1600\\=300x-5x^2-1600

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

P'(x) = 300-10x\\p"(x) = -10

Producing 30 units will maximize the profit.

Max profit

=P(30) = 2900

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