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3 years ago

3. (05.05)

Mathematics

1 answer:

vitfil [10]3 years ago

8 0

Answer:

The inequality x>2 matches the graph.

Step-by-step explanation:

From the graph, it is clear that the shaded graph is heading towards the +ve infinity from the x > 2.

If the inequality includes < or >, we graph the equation as a dotted line.

From the graph, the dotted line indicates that x=2 is not included in the solution of the inequality.

so the interval of the domain of the inequality is: (2, ∞)

Therefore, the inequality x>2 matches the graph.

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2 years ago

Two life insurance policies, each with a death benefit of 10,000 and a one-time premium of 500, are sold to a couple, one for ea

Kazeer [188]

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Step-by-step explanation:

Let x denotes excess premium over claims

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2 years ago

Find all complex solutions of 5x^2-6x+2=0.

gregori [183]

We use quadratic formula for that one
remember that √-1=i

so

for
ax^2+bx+c=0
$x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$
so
given
5x^2-6x+2=0
a=5
b=-6
c=2

$x=\frac{-(-6)+/-\sqrt{(-6)^2-4(5)(2)}}{2(5)}$
$x=\frac{6+/-\sqrt{36-40}}{10}$
$x=\frac{6+/-\sqrt{-4}}{10}$
$x=\frac{6+/-2i}{10}$

$x=\frac{3}{5}+\frac{i}{5}, \frac{3}{5}-\frac{i}{5}$

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3 years ago